×

zbMATH — the first resource for mathematics

Natalini, Roberto

Compute Distance To:
Author ID: natalini.roberto Recent zbMATH articles by "Natalini, Roberto"
Published as: Nataline, Roberto; Natalini, R.; Natalini, Roberto
External Links: MGP · Wikidata · ORCID
Documents Indexed: 128 Publications since 1986, including 2 Books
all top 5

Co-Authors

12 single-authored
13 Tesei, Alberto
10 Aregba-Driollet, Denise
9 Ribot, Magali
8 Bretti, Gabriella
7 Briani, Maya
7 Clarelli, Fabrizio
7 Guarguaglini, Francesca Romana
7 Hanouzet, Bernard
6 Piccoli, Benedetto
5 Amadori, Anna Lisa
5 Marcati, Pierangelo
4 Bianchini, Roberta
4 Corrias, Lucilla
4 Di Russo, Cristiana
4 Marcati, P. A.
4 Twarogowska, Monika
3 Arosio, Alberto
3 Boccabella, Astridh
3 Di Costanzo, Ezio
3 Falcone, Maurizio
3 Luo, Tao
3 Mascia, Corrado
3 Paoli, Maria Gabriella
3 Terracina, Andrea
2 Alì, Giuseppe
2 Bianchini, Stefano
2 Bouchut, François
2 Brenier, Yann
2 Garavello, Mauro
2 Gilding, Brian H.
2 Nitsch, Carlo
2 Panizzi, Stefano
2 Poignard, Clair
2 Pontrelli, Giuseppe
2 Tang, Shaoqiang
1 Benvenuti, Silvia
1 Bonetti, Elena
1 Bourguignon, Jean-Pierre
1 Bracciale, Marial Paola
1 Broggi, Alessandra
1 Bühlmann, Peter
1 Calzolari, Antonella
1 Cangiani, Andrea
1 Carbou, Gilles
1 Carfora, Maria Francesca
1 Cavaterra, Cecilia
1 Ceseri, Maurizio
1 Clairambault, Jean
1 Claudi, S.
1 De Filippo, B.
1 Deville, Manon
1 Diele, Fasma
1 Dimitrio, Luna
1 Esteban, Maria J.
1 Fasano, Antonio
1 Fotia, Giorgio
1 Freddi, Francesco
1 Gasser, Ingenuin
1 Giacomello, Alessandro
1 Gosse, Laurent
1 Grasselli, Maurizio
1 Iafrati, Alessandro
1 Jobic, Yann
1 Kersner, Robert
1 La Chioma, Claudia
1 Laptev, Ari
1 Lattanzio, Corrado
1 LeFloch, Philippe Gerard
1 Leguèbe, Michael
1 Liu, Hailiang
1 Markowich, Peter Alexander
1 Marrocchi, A.
1 Menci, Marta
1 Messina, Eleonora
1 Messina, Elisa
1 Notarangelo, M. G.
1 Occelli, René
1 Pareschi, Lorenzo
1 Pavan, Vincent
1 Preziosi, Luigi
1 Puccio, Luigia
1 Puel, Marjolaine
1 Roberto, Lucchetti E.
1 Rossi, Fabrizio
1 Rousset, Frédéric
1 Rubino, Bruno
1 Russo, Ciro
1 Russo, Giovanni
1 Santarelli, Maria Laura
1 Sbaraglia, Simone
1 Sinestari, C.
1 Smits, Robert G.
1 Stuart, Andrew M.
1 Torcicollo, Isabella
1 Torti, Barbara
1 Vecchio, Antonia
1 Xin, Zhouping
1 Yang, Tong
all top 5

Serials

5 Archive for Rational Mechanics and Analysis
5 Journal of Differential Equations
4 Communications in Partial Differential Equations
3 Journal of Mathematical Analysis and Applications
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 SIAM Journal on Numerical Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 European Mathematical Society Newsletter
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
3 Networks and Heterogeneous Media
3 Communications in Applied and Industrial Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Applicable Analysis
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Mathematics of Computation
2 Journal of the Mathematical Society of Japan
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Asymptotic Analysis
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 SIAM Journal on Mathematical Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Communications on Applied Nonlinear Analysis
2 Nonlinear Analysis. Real World Applications
2 Communications in Mathematical Sciences
2 Mathematical Medicine and Biology
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Kinetic and Related Models
2 Journal of Theoretical Biology
2 Lettera Matematica. International Edition
1 Mathematical Biosciences
1 Bulletin of Mathematical Biology
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Calcolo
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Advances in Applied Mathematics
1 Journal of Scientific Computing
1 Differential and Integral Equations
1 Memoirs on Differential Equations and Mathematical Physics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Archives of Computational Methods in Engineering
1 Journal of Computational Methods in Sciences and Engineering
1 Journal of Hyperbolic Differential Equations
1 Mathematical Biosciences and Engineering
1 Springer INdAM Series
1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH

96 Publications have been cited 1,333 times in 786 Documents Cited by Year
Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation. Zbl 0829.35128
Marcati, Pierangelo; Natalini, Roberto
98
1995
Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1037.35041
Hanouzet, B.; Natalini, R.
89
2003
Convergence to equilibrium for the relaxation approximations of conservation laws. Zbl 0872.35064
Natalini, Roberto
88
1996
Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1152.35009
Bianchini, Stefano; Hanouzet, Bernard; Natalini, Roberto
69
2007
Large time behavior of the solutions to a hydrodynamic model for semiconductors. Zbl 0936.35111
Luo, Tao; Natalini, Roberto; Xin, Zhouping
67
1999
The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations. Zbl 0889.35109
Natalini, R.
60
1996
Discrete kinetic schemes for multidimensional systems of conservation laws. Zbl 0964.65096
Aregba-Driollet, Denise; Natalini, Roberto
50
2000
Recent results on hyperbolic relaxation problems. Zbl 0940.35127
Natalini, Roberto
42
1998
Weak solutions to a hydrodynamic model for semiconductors: The Cauchy problem. Zbl 0831.35157
Marcati, Pierangelo; Natalini, Roberto
40
1995
A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws. Zbl 0911.35073
Natalini, Roberto
38
1998
Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory. Zbl 1065.65145
Briani, Maya; La Chioma, Claudia; Natalini, Roberto
33
2004
Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159
LeFloch, Philippe G.; Natalini, Roberto
33
1999
Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. Zbl 1031.65093
Aregba-Driollet, D.; Natalini, R.; Tang, S.
31
2004
The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors. Zbl 1034.82067
Gasser, Ingenuin; Natalini, Roberto
31
1999
Convergence of relaxation schemes for conservation laws. Zbl 0872.65086
Aregba-Driollet, Denise; Natalini, Roberto
30
1996
Implicit-explicit numerical schemes for jump-diffusion processes. Zbl 1150.65033
Briani, Maya; Natalini, Roberto; Russo, Giovanni
29
2007
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
25
2007
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
24
2000
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
22
2004
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
21
2006
Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation. Zbl 1171.35073
Carbou, G.; Hanouzet, B.; Natalini, R.
17
2009
Numerical schemes for conservation laws via Hamilton-Jacobi equations. Zbl 0827.65085
Corrias, L.; Falcone, M.; Natalini, R.
16
1995
A hyperbolic model of chemotaxis on a network: a numerical study. Zbl 1285.92004
Bretti, G.; Natalini, R.; Ribot, M.
15
2014
On relaxation hyperbolic systems violating the Shizuta-Kawashima condition. Zbl 1244.35086
Mascia, Corrado; Natalini, Roberto
15
2010
\(L^ 1\) nonlinear stability of traveling waves for a hyperbolic system with relaxation. Zbl 0879.35099
Mascia, Corrado; Natalini, Roberto
15
1996
Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena. Zbl 1116.35006
Guarguaglini, F. R.; Natalini, R.
14
2007
A mathematical model for the sulphur dioxide aggression to calcium carbonate stones: numerical approximation and asymptotic analysis. Zbl 1126.65072
Aregba-Driollet, D.; Diele, F.; Natalini, R.
13
2004
Weakly coupled systems of quasilinear boundary value problem with applications to semilinear elliptic equations. Zbl 0879.35093
Natalini, R.; Hanouzet, B.
13
1996
A spatial model of cellular molecular trafficking including active transport along microtubules. Zbl 1414.92132
Cangiani, A.; Natalini, R.
12
2010
On a class of perturbed conservation laws. Zbl 0801.35082
Natalini, R.; Tesei, A.
11
1992
A fluid dynamics model of the growth of phototrophic biofilms. Zbl 1264.92048
Clarelli, F.; Di Russo, C.; Natalini, R.; Ribot, M.
10
2013
Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis. Zbl 1178.35058
Guarguaglini, Francesca Romana; Mascia, Corrado; Natalini, Roberto; Ribot, Magali
10
2009
Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems. Zbl 1043.35075
Lattanzio, Corrado; Natalini, Roberto
10
2002
Convergence of a relaxation approximation to a boundary value problem for conservation laws. Zbl 0994.35085
Natalini, Roberto; Terracina, Andrea
10
2001
Global smooth solutions for a hyperbolic chemotaxis model on a network. Zbl 1330.35489
Guarguaglini, F. R.; Natalini, R.
9
2015
A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line. Zbl 1317.92017
Di Costanzo, Ezio; Natalini, Roberto; Preziosi, Luigi
9
2015
Convergence of relaxation schemes for conservation laws. Zbl 0887.65100
Aregba-Driollet, D.; Natalini, R.
9
1996
A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis. Zbl 1310.92008
Natalini, Roberto; Ribot, Magali; Twarogowska, Monika
8
2014
Asymptotic high-order schemes for \(2\times 2\) dissipative hyperbolic systems. Zbl 1176.65086
Aregba-Driollet, Denise; Briani, Maya; Natalini, Roberto
8
2008
Fast algorithms for the approximation of a traffic flow model on networks. Zbl 1114.65099
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
8
2006
BV solutions and relaxation limit for a model in viscoelasticity. Zbl 0911.35004
Luo, Tao; Natalini, Roberto
8
1998
Mathematics and monument conservation: Free boundary models of marble sulfation. Zbl 1157.76049
Clarelli, Fabrizio; Fasano, Antonio; Natalini, Roberto
7
2008
A discrete kinetic approximation for the incompressible Navier-Stokes equations. Zbl 1135.76037
Carfora, Maria Francesca; Natalini, Roberto
7
2008
Numerical algorithms for simulations of a traffic model on road networks. Zbl 1146.90365
Bretti, G.; Natalini, R.; Piccoli, B.
7
2007
Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and sine-Gordon type. Zbl 0907.35084
Marcati, Pierangelo; Natalini, Roberto
7
1998
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
6
2018
A spatial physiological model for p53 intracellular dynamics. Zbl 1397.92185
Dimitrio, Luna; Clairambault, Jean; Natalini, Roberto
6
2013
Asymptotic high order mass-preserving schemes for a hyperbolic model of chemotaxis. Zbl 1248.65091
Natalini, R.; Ribot, M.
6
2012
Global existence of solutions to a nonlinear model of sulphation phenomena in calcium carbonate stones. Zbl 1078.80007
Guarguaglini, F. R.; Natalini, R.
6
2005
Global BV solutions to a \(p\)-system with relaxation. Zbl 0957.35110
Luo, Tao; Natalini, Roberto; Yang, Tong
6
2000
Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology. Zbl 1141.35387
Guarguaglini, F. R.; Natalini, R.
5
2007
Asymptotic high-order schemes for integro-differential problems arising in markets with jumps. Zbl 1104.65121
Briani, Maya; Natalini, Roberto
5
2006
On the Barenblatt model for non-equilibrium two-phase flow in porous media. Zbl 0962.76096
Natalini, Roberto; Tesei, Alberto
5
1999
Discrete kinetic schemes for systems of conservation laws. Zbl 0930.65095
Aregba-Driollet, D.; Natalini, R.
5
1999
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
5
1998
Convergence of the pseudo-viscosity approximation for conservation laws. Zbl 0815.76040
Marcati, Pierangelo; Natalini, Roberto
5
1994
Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations. Zbl 1410.35093
Bianchini, Roberta; Natalini, Roberto
4
2019
Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension. Zbl 1330.35312
Bianchini, Roberta; Natalini, Roberto
4
2016
A fluid-dynamic traffic model on road networks. Zbl 1127.76004
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
4
2007
Long-time diffusive behavior of solutions to a hyperbolic relaxation system. Zbl 0981.35035
Liu, Hailiang; Natalini, Roberto
4
2001
Discrete kinetic models for dynamical phase transitions. Zbl 1110.35308
Natalini, Roberto; Tang, Shaoqiang
4
2000
Shocks and free boundaries: The local behaviour. Zbl 0830.35151
Kersner, R.; Natalini, R.; Tesei, A.
4
1995
Blow-up of solutions for a class of balance laws. Zbl 0807.35088
Natalini, R.; Tesei, A.
4
1994
Unbounded solutions for conservation laws with source. Zbl 0833.35090
Natalini, R.
4
1993
Blow-up of solutions for first order quasilinear hyperbolic equations. Zbl 0788.35088
Natalini, Roberto; Tesei, Alberto
4
1993
A numerical study of a nonlocal model of damage propagation under chemical aggression. Zbl 1058.74075
Natalini, R.; Nitsch, C.; Pontrelli, G.; Sbaraglia, S.
3
2003
Entropy solutions to a strongly degenerate anisotropic convection–diffusion equation with application to utility theory. Zbl 1026.35054
Amadori, A. L.; Natalini, R.
3
2003
On the Chapman-Jouguet limit for a combustion model. Zbl 0928.35092
Hanouzet, Bernard; Natalini, Roberto; Tesei, Alberto
3
1998
A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (cardiospheres). Zbl 1404.92026
Di Costanzo, Ezio; Giacomello, Alessandro; Messina, Elisa; Natalini, Roberto; Pontrelli, Giuseppe; Rossi, Fabrizio; Smits, Robert; Twarogowska, Monika
2
2018
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity. Zbl 1400.92071
Clarelli, F.; Di Russo, C.; Natalini, Roberto; Ribot, M.
2
2016
Time asymptotic high order schemes for dissipative BGK hyperbolic systems. Zbl 1336.65129
Aregba-Driollet, Denise; Briani, Maya; Natalini, Roberto
2
2016
A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis. Zbl 1334.92064
Natalini, Roberto; Ribot, Magali; Twarogowska, Monika
2
2015
On a continuous mixed strategies model for evolutionary game theory. Zbl 1216.35156
Boccabella, Astridh; Natalini, Roberto; Pareschi, Lorenzo
2
2011
Global existence of smooth solutions to a two-dimensional hyperbolic model of chemotaxis. Zbl 1329.92029
Di Russo, Cristiana; Natalini, Roberto; Ribot, Magali
2
2010
A Riemann solver approach for conservation laws with discontinuous flux. Zbl 1138.65070
Garavello, M.; Natalini, R.; Piccoli, B.; Terracina, A.
2
2008
Nonlinear transmission problems for quasilinear diffusion systems. Zbl 1121.35072
Guarguaglini, F. R.; Natalini, R.
2
2007
Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations. Zbl 1220.35122
Natalini, R.; Rousset, F.
2
2006
Incomplete blowup of solutions of quasilinear hyperbolic balance laws. Zbl 0867.35014
Natalini, R.; Sinestari, C.; Tesei, A.
2
1996
A discrete approximation for hyperbolic systems with quadratic interaction term. Zbl 0874.35066
Natalini, Roberto; Rubino, Bruno
2
1996
Solutions non bornées pour des lois de conservation avec source. (Unbounded solutions for conservation laws with source). Zbl 0753.35052
Natalini, Roberto
2
1991
A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Zbl 1442.45004
Costanzo, Ezio Di; Menci, Marta; Messina, Eleonora; Natalini, Roberto; Vecchio, Antonia
1
2020
A continuum mechanics model of enzyme-based tissue degradation in cancer therapies. Zbl 1404.92092
Deville, Manon; Natalini, Roberto; Poignard, Clair
1
2018
Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics. Zbl 1398.92032
Bretti, Gabriella; Natalini, Roberto
1
2018
Well-posedness of a model of nonhomogeneous compressible-incompressible fluids. Zbl 1377.35217
Bianchini, Roberta; Natalini, Roberto
1
2017
Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation. Zbl 1361.92025
Leguèbe, M.; Notarangelo, M. G.; Twarogowska, M.; Natalini, R.; Poignard, C.
1
2017
Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Zbl 1369.35002
Gosse, Laurent (ed.); Natalini, Roberto (ed.)
1
2017
A non-local rare mutations model for quasispecies and prisoner’s dilemma: numerical assessment of qualitative behaviour. Zbl 1375.92039
Amadori, Anna Lisa; Briani, Maya; Natalini, Roberto
1
2016
A hyperbolic model of spatial evolutionary game theory. Zbl 1418.37128
Amadori, Anna Lisa; Boccabella, Astridh; Natalini, Roberto
1
2012
Inaugural issue editorial: Communications in Applied and Industrial Mathematics. Zbl 1329.00200
Fotia, Giorgio (ed.); Iafrati, Alessandro (ed.); Natalini, Roberto (ed.); Puccio, Luigia (ed.)
1
2010
A mathematical model for consolidation of building stones. Zbl 1426.74126
Clarelli, Fabrizio; Natalini, Roberto; Nitsch, Carlo; Santarelli, Maria Laura
1
2010
Mathematical models for biofilms on the surface of monuments. Zbl 1426.35214
Clarelli, F.; Di Russo, C.; Natalini, R.; Ribot, M.
1
2010
Dissipative hyperbolic systems: the asymptotic behavior of solutions. Zbl 1141.35411
Bianchini, S.; Hanouzet, B.; Natalini, R.
1
2008
Uniform convergence to equilibrium for conservation laws with relaxation. Zbl 0890.35084
Natalini, R.
1
1996
Hydrodynamical models for semiconductors. Zbl 0888.35113
Alì, G.; Marcati, P. A.; Natalini, R.
1
1996
Blow-up of solutions for first order quasilinear hyperbolic equations. Zbl 0738.35041
Natalini, Roberto; Tesei, Alberto
1
1992
Formules de produit pour des distributions à valeurs dans \({\mathbb{C}}^ N\). (Product formulas for \({\mathbb{C}}^ N\)-valued distributions). Zbl 0591.46034
Natalini, Roberto
1
1986
A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Zbl 1442.45004
Costanzo, Ezio Di; Menci, Marta; Messina, Eleonora; Natalini, Roberto; Vecchio, Antonia
1
2020
Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations. Zbl 1410.35093
Bianchini, Roberta; Natalini, Roberto
4
2019
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
6
2018
A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (cardiospheres). Zbl 1404.92026
Di Costanzo, Ezio; Giacomello, Alessandro; Messina, Elisa; Natalini, Roberto; Pontrelli, Giuseppe; Rossi, Fabrizio; Smits, Robert; Twarogowska, Monika
2
2018
A continuum mechanics model of enzyme-based tissue degradation in cancer therapies. Zbl 1404.92092
Deville, Manon; Natalini, Roberto; Poignard, Clair
1
2018
Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics. Zbl 1398.92032
Bretti, Gabriella; Natalini, Roberto
1
2018
Well-posedness of a model of nonhomogeneous compressible-incompressible fluids. Zbl 1377.35217
Bianchini, Roberta; Natalini, Roberto
1
2017
Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation. Zbl 1361.92025
Leguèbe, M.; Notarangelo, M. G.; Twarogowska, M.; Natalini, R.; Poignard, C.
1
2017
Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Zbl 1369.35002
Gosse, Laurent (ed.); Natalini, Roberto (ed.)
1
2017
Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension. Zbl 1330.35312
Bianchini, Roberta; Natalini, Roberto
4
2016
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity. Zbl 1400.92071
Clarelli, F.; Di Russo, C.; Natalini, Roberto; Ribot, M.
2
2016
Time asymptotic high order schemes for dissipative BGK hyperbolic systems. Zbl 1336.65129
Aregba-Driollet, Denise; Briani, Maya; Natalini, Roberto
2
2016
A non-local rare mutations model for quasispecies and prisoner’s dilemma: numerical assessment of qualitative behaviour. Zbl 1375.92039
Amadori, Anna Lisa; Briani, Maya; Natalini, Roberto
1
2016
Global smooth solutions for a hyperbolic chemotaxis model on a network. Zbl 1330.35489
Guarguaglini, F. R.; Natalini, R.
9
2015
A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line. Zbl 1317.92017
Di Costanzo, Ezio; Natalini, Roberto; Preziosi, Luigi
9
2015
A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis. Zbl 1334.92064
Natalini, Roberto; Ribot, Magali; Twarogowska, Monika
2
2015
A hyperbolic model of chemotaxis on a network: a numerical study. Zbl 1285.92004
Bretti, G.; Natalini, R.; Ribot, M.
15
2014
A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis. Zbl 1310.92008
Natalini, Roberto; Ribot, Magali; Twarogowska, Monika
8
2014
A fluid dynamics model of the growth of phototrophic biofilms. Zbl 1264.92048
Clarelli, F.; Di Russo, C.; Natalini, R.; Ribot, M.
10
2013
A spatial physiological model for p53 intracellular dynamics. Zbl 1397.92185
Dimitrio, Luna; Clairambault, Jean; Natalini, Roberto
6
2013
Asymptotic high order mass-preserving schemes for a hyperbolic model of chemotaxis. Zbl 1248.65091
Natalini, R.; Ribot, M.
6
2012
A hyperbolic model of spatial evolutionary game theory. Zbl 1418.37128
Amadori, Anna Lisa; Boccabella, Astridh; Natalini, Roberto
1
2012
On a continuous mixed strategies model for evolutionary game theory. Zbl 1216.35156
Boccabella, Astridh; Natalini, Roberto; Pareschi, Lorenzo
2
2011
On relaxation hyperbolic systems violating the Shizuta-Kawashima condition. Zbl 1244.35086
Mascia, Corrado; Natalini, Roberto
15
2010
A spatial model of cellular molecular trafficking including active transport along microtubules. Zbl 1414.92132
Cangiani, A.; Natalini, R.
12
2010
Global existence of smooth solutions to a two-dimensional hyperbolic model of chemotaxis. Zbl 1329.92029
Di Russo, Cristiana; Natalini, Roberto; Ribot, Magali
2
2010
Inaugural issue editorial: Communications in Applied and Industrial Mathematics. Zbl 1329.00200
Fotia, Giorgio (ed.); Iafrati, Alessandro (ed.); Natalini, Roberto (ed.); Puccio, Luigia (ed.)
1
2010
A mathematical model for consolidation of building stones. Zbl 1426.74126
Clarelli, Fabrizio; Natalini, Roberto; Nitsch, Carlo; Santarelli, Maria Laura
1
2010
Mathematical models for biofilms on the surface of monuments. Zbl 1426.35214
Clarelli, F.; Di Russo, C.; Natalini, R.; Ribot, M.
1
2010
Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation. Zbl 1171.35073
Carbou, G.; Hanouzet, B.; Natalini, R.
17
2009
Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis. Zbl 1178.35058
Guarguaglini, Francesca Romana; Mascia, Corrado; Natalini, Roberto; Ribot, Magali
10
2009
Asymptotic high-order schemes for \(2\times 2\) dissipative hyperbolic systems. Zbl 1176.65086
Aregba-Driollet, Denise; Briani, Maya; Natalini, Roberto
8
2008
Mathematics and monument conservation: Free boundary models of marble sulfation. Zbl 1157.76049
Clarelli, Fabrizio; Fasano, Antonio; Natalini, Roberto
7
2008
A discrete kinetic approximation for the incompressible Navier-Stokes equations. Zbl 1135.76037
Carfora, Maria Francesca; Natalini, Roberto
7
2008
A Riemann solver approach for conservation laws with discontinuous flux. Zbl 1138.65070
Garavello, M.; Natalini, R.; Piccoli, B.; Terracina, A.
2
2008
Dissipative hyperbolic systems: the asymptotic behavior of solutions. Zbl 1141.35411
Bianchini, S.; Hanouzet, B.; Natalini, R.
1
2008
Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1152.35009
Bianchini, Stefano; Hanouzet, Bernard; Natalini, Roberto
69
2007
Implicit-explicit numerical schemes for jump-diffusion processes. Zbl 1150.65033
Briani, Maya; Natalini, Roberto; Russo, Giovanni
29
2007
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
25
2007
Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena. Zbl 1116.35006
Guarguaglini, F. R.; Natalini, R.
14
2007
Numerical algorithms for simulations of a traffic model on road networks. Zbl 1146.90365
Bretti, G.; Natalini, R.; Piccoli, B.
7
2007
Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology. Zbl 1141.35387
Guarguaglini, F. R.; Natalini, R.
5
2007
A fluid-dynamic traffic model on road networks. Zbl 1127.76004
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
4
2007
Nonlinear transmission problems for quasilinear diffusion systems. Zbl 1121.35072
Guarguaglini, F. R.; Natalini, R.
2
2007
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
21
2006
Fast algorithms for the approximation of a traffic flow model on networks. Zbl 1114.65099
Bretti, Gabriella; Natalini, Roberto; Piccoli, Benedetto
8
2006
Asymptotic high-order schemes for integro-differential problems arising in markets with jumps. Zbl 1104.65121
Briani, Maya; Natalini, Roberto
5
2006
Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations. Zbl 1220.35122
Natalini, R.; Rousset, F.
2
2006
Global existence of solutions to a nonlinear model of sulphation phenomena in calcium carbonate stones. Zbl 1078.80007
Guarguaglini, F. R.; Natalini, R.
6
2005
Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory. Zbl 1065.65145
Briani, Maya; La Chioma, Claudia; Natalini, Roberto
33
2004
Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. Zbl 1031.65093
Aregba-Driollet, D.; Natalini, R.; Tang, S.
31
2004
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
22
2004
A mathematical model for the sulphur dioxide aggression to calcium carbonate stones: numerical approximation and asymptotic analysis. Zbl 1126.65072
Aregba-Driollet, D.; Diele, F.; Natalini, R.
13
2004
Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Zbl 1037.35041
Hanouzet, B.; Natalini, R.
89
2003
A numerical study of a nonlocal model of damage propagation under chemical aggression. Zbl 1058.74075
Natalini, R.; Nitsch, C.; Pontrelli, G.; Sbaraglia, S.
3
2003
Entropy solutions to a strongly degenerate anisotropic convection–diffusion equation with application to utility theory. Zbl 1026.35054
Amadori, A. L.; Natalini, R.
3
2003
Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems. Zbl 1043.35075
Lattanzio, Corrado; Natalini, Roberto
10
2002
Convergence of a relaxation approximation to a boundary value problem for conservation laws. Zbl 0994.35085
Natalini, Roberto; Terracina, Andrea
10
2001
Long-time diffusive behavior of solutions to a hyperbolic relaxation system. Zbl 0981.35035
Liu, Hailiang; Natalini, Roberto
4
2001
Discrete kinetic schemes for multidimensional systems of conservation laws. Zbl 0964.65096
Aregba-Driollet, Denise; Natalini, Roberto
50
2000
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
24
2000
Global BV solutions to a \(p\)-system with relaxation. Zbl 0957.35110
Luo, Tao; Natalini, Roberto; Yang, Tong
6
2000
Discrete kinetic models for dynamical phase transitions. Zbl 1110.35308
Natalini, Roberto; Tang, Shaoqiang
4
2000
Large time behavior of the solutions to a hydrodynamic model for semiconductors. Zbl 0936.35111
Luo, Tao; Natalini, Roberto; Xin, Zhouping
67
1999
Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159
LeFloch, Philippe G.; Natalini, Roberto
33
1999
The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors. Zbl 1034.82067
Gasser, Ingenuin; Natalini, Roberto
31
1999
On the Barenblatt model for non-equilibrium two-phase flow in porous media. Zbl 0962.76096
Natalini, Roberto; Tesei, Alberto
5
1999
Discrete kinetic schemes for systems of conservation laws. Zbl 0930.65095
Aregba-Driollet, D.; Natalini, R.
5
1999
Recent results on hyperbolic relaxation problems. Zbl 0940.35127
Natalini, Roberto
42
1998
A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws. Zbl 0911.35073
Natalini, Roberto
38
1998
BV solutions and relaxation limit for a model in viscoelasticity. Zbl 0911.35004
Luo, Tao; Natalini, Roberto
8
1998
Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and sine-Gordon type. Zbl 0907.35084
Marcati, Pierangelo; Natalini, Roberto
7
1998
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
5
1998
On the Chapman-Jouguet limit for a combustion model. Zbl 0928.35092
Hanouzet, Bernard; Natalini, Roberto; Tesei, Alberto
3
1998
Convergence to equilibrium for the relaxation approximations of conservation laws. Zbl 0872.35064
Natalini, Roberto
88
1996
The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations. Zbl 0889.35109
Natalini, R.
60
1996
Convergence of relaxation schemes for conservation laws. Zbl 0872.65086
Aregba-Driollet, Denise; Natalini, Roberto
30
1996
\(L^ 1\) nonlinear stability of traveling waves for a hyperbolic system with relaxation. Zbl 0879.35099
Mascia, Corrado; Natalini, Roberto
15
1996
Weakly coupled systems of quasilinear boundary value problem with applications to semilinear elliptic equations. Zbl 0879.35093
Natalini, R.; Hanouzet, B.
13
1996
Convergence of relaxation schemes for conservation laws. Zbl 0887.65100
Aregba-Driollet, D.; Natalini, R.
9
1996
Incomplete blowup of solutions of quasilinear hyperbolic balance laws. Zbl 0867.35014
Natalini, R.; Sinestari, C.; Tesei, A.
2
1996
A discrete approximation for hyperbolic systems with quadratic interaction term. Zbl 0874.35066
Natalini, Roberto; Rubino, Bruno
2
1996
Uniform convergence to equilibrium for conservation laws with relaxation. Zbl 0890.35084
Natalini, R.
1
1996
Hydrodynamical models for semiconductors. Zbl 0888.35113
Alì, G.; Marcati, P. A.; Natalini, R.
1
1996
Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation. Zbl 0829.35128
Marcati, Pierangelo; Natalini, Roberto
98
1995
Weak solutions to a hydrodynamic model for semiconductors: The Cauchy problem. Zbl 0831.35157
Marcati, Pierangelo; Natalini, Roberto
40
1995
Numerical schemes for conservation laws via Hamilton-Jacobi equations. Zbl 0827.65085
Corrias, L.; Falcone, M.; Natalini, R.
16
1995
Shocks and free boundaries: The local behaviour. Zbl 0830.35151
Kersner, R.; Natalini, R.; Tesei, A.
4
1995
Convergence of the pseudo-viscosity approximation for conservation laws. Zbl 0815.76040
Marcati, Pierangelo; Natalini, Roberto
5
1994
Blow-up of solutions for a class of balance laws. Zbl 0807.35088
Natalini, R.; Tesei, A.
4
1994
Unbounded solutions for conservation laws with source. Zbl 0833.35090
Natalini, R.
4
1993
Blow-up of solutions for first order quasilinear hyperbolic equations. Zbl 0788.35088
Natalini, Roberto; Tesei, Alberto
4
1993
On a class of perturbed conservation laws. Zbl 0801.35082
Natalini, R.; Tesei, A.
11
1992
Blow-up of solutions for first order quasilinear hyperbolic equations. Zbl 0738.35041
Natalini, Roberto; Tesei, Alberto
1
1992
Solutions non bornées pour des lois de conservation avec source. (Unbounded solutions for conservation laws with source). Zbl 0753.35052
Natalini, Roberto
2
1991
Formules de produit pour des distributions à valeurs dans \({\mathbb{C}}^ N\). (Product formulas for \({\mathbb{C}}^ N\)-valued distributions). Zbl 0591.46034
Natalini, Roberto
1
1986
all top 5

Cited by 917 Authors

43 Natalini, Roberto
31 Li, Yeping
19 Xu, Jiang
17 Coclite, Giuseppe Maria
17 Peng, Yuejun
16 Karlsen, Kenneth Hvistendahl
16 Piccoli, Benedetto
14 Di Ruvo, Lorenzo
14 Gosse, Laurent
14 Yong, Wen-An
13 Yu, Huimin
13 Zhang, Kaijun
12 Hsiao, Ling
11 Borsche, Raul
11 Jüngel, Ansgar
11 Klar, Axel
11 Mo, Jiaqi
10 Berthon, Christophe
10 Risebro, Nils Henrik
10 Zhao, Huijiang
9 Luo, Tao
9 Qu, Peng
8 Aregba-Driollet, Denise
8 Guarguaglini, Francesca Romana
8 Kawashima, Shuichi
8 Liu, Cunming
8 Liu, Hailiang
8 Mei, Ming
8 Wang, Shu
7 Amadori, Debora
7 Bretti, Gabriella
7 Goudon, Thierry
7 Huang, Feimin
7 Tan, Zhong
6 Banda, Mapundi Kondwani
6 Bianchini, Roberta
6 Coquel, Frédéric
6 Franck, Emmanuel
6 Herty, Michael Matthias
6 Lattanzio, Corrado
6 Li, Hailiang
6 Marcati, Pierangelo
6 Mascia, Corrado
6 Tang, Shaoqiang
6 Tesei, Alberto
6 Tzavaras, Athanasios E.
5 Berthelin, Florent
5 Bouchut, François
5 Briani, Maya
5 Chaplain, Mark A. J.
5 Chen, Gui-Qiang G.
5 Jin, Shi
5 Muntean, Adrian
5 Ribot, Magali
5 Rosini, Massimiliano Daniele
5 Rubino, Bruno
5 Towers, John D.
5 Turpault, Rodolphe
5 Zeng, Yanni
4 Alì, Giuseppe
4 Andreianov, Boris
4 Colombi, Annachiara
4 Corli, Andrea
4 Dafermos, Constantine M.
4 Delis, Argiris I.
4 Fang, Weifu
4 Flåtten, Tore
4 Frid, Hermano
4 Hwang, Seok Yoon
4 Ito, Kazufumi
4 Kall, Jochen
4 LeFloch, Philippe Gerard
4 Nikolopoulos, Christos V.
4 Pan, Ronghua
4 Rendón, Leonardo A.
4 Ruggeri, Tommaso
4 Scianna, Marco
4 Tse, Oliver
4 Wasiolek, Victor
4 Yang, Jianwei
4 Yang, Tong
4 Yuan, Difan
3 Aursand, Peder
3 Bhuruth, Muddun
3 Blanc, Xavier
3 Cancès, Clément
3 Carrillo de la Plata, José Antonio
3 Chalons, Christophe
3 Chen, Li
3 Chen, Lihua
3 Colombo, Rinaldo M.
3 Company, Rafael
3 Coulette, David
3 Coulombel, Jean-François
3 D’Apice, Ciro
3 de la Cruz, Richard
3 Ducomet, Bernard
3 Foucher, Françoise
3 Garavello, Mauro
3 Gasser, Ingenuin
...and 817 more Authors
all top 5

Cited in 159 Serials

95 Journal of Differential Equations
46 Journal of Mathematical Analysis and Applications
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Archive for Rational Mechanics and Analysis
23 Journal of Computational Physics
23 Journal of Scientific Computing
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Journal of Hyperbolic Differential Equations
19 Nonlinear Analysis. Real World Applications
18 Communications in Partial Differential Equations
17 Mathematics of Computation
17 Applied Numerical Mathematics
14 Mathematical Methods in the Applied Sciences
13 Applied Mathematics and Computation
13 Journal of Computational and Applied Mathematics
13 Numerische Mathematik
11 Computers & Mathematics with Applications
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Applicable Analysis
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Applied Mathematics and Mechanics. (English Edition)
9 Discrete and Continuous Dynamical Systems
9 Networks and Heterogeneous Media
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 SIAM Journal on Mathematical Analysis
8 Kinetic and Related Models
7 Quarterly of Applied Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Theoretical Biology
7 Nonlinear Analysis. Theory, Methods & Applications
6 Bulletin of Mathematical Biology
6 SIAM Journal on Numerical Analysis
6 Transactions of the American Mathematical Society
6 Physica D
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Communications on Pure and Applied Analysis
5 Proceedings of the American Mathematical Society
5 Chinese Annals of Mathematics. Series B
5 Acta Applicandae Mathematicae
5 Applied Mathematics Letters
5 Mathematical and Computer Modelling
5 Applied Mathematical Modelling
5 SIAM Journal on Scientific Computing
5 Wuhan University Journal of Natural Sciences (WUJNS)
5 Discrete and Continuous Dynamical Systems. Series S
4 Communications in Mathematical Physics
4 Journal of Engineering Mathematics
4 Journal of Mathematical Biology
4 Journal of Mathematical Physics
4 Nonlinearity
4 Acta Mathematicae Applicatae Sinica. English Series
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 SIAM Journal on Applied Mathematics
4 International Journal of Theoretical and Applied Finance
3 Computers and Fluids
3 Ricerche di Matematica
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Bulletin of the Brazilian Mathematical Society. New Series
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Transport Theory and Statistical Physics
2 Calcolo
2 Mathematics and Computers in Simulation
2 Zeitschrift für Analysis und ihre Anwendungen
2 Numerical Methods for Partial Differential Equations
2 European Journal of Applied Mathematics
2 International Journal of Computer Mathematics
2 Journal of Dynamics and Differential Equations
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Journal of Mathematical Sciences (New York)
2 Finance and Stochastics
2 Abstract and Applied Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Analysis and Applications (Singapore)
2 Boundary Value Problems
2 Computational & Mathematical Methods in Medicine
2 SMAI Journal of Computational Mathematics
1 Acta Mechanica
1 Computer Physics Communications
1 International Journal of Control
1 International Journal for Numerical Methods in Fluids
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Biosciences
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 BIT
1 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Control and Optimization
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Advances in Applied Mathematics
1 Parallel Computing
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Computers & Operations Research
1 Science in China. Series A
1 Automation and Remote Control
...and 59 more Serials
all top 5

Cited in 36 Fields

616 Partial differential equations (35-XX)
223 Fluid mechanics (76-XX)
196 Numerical analysis (65-XX)
122 Statistical mechanics, structure of matter (82-XX)
66 Biology and other natural sciences (92-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
37 Operations research, mathematical programming (90-XX)
30 Mechanics of deformable solids (74-XX)
24 Probability theory and stochastic processes (60-XX)
22 Optics, electromagnetic theory (78-XX)
19 Integral equations (45-XX)
18 Ordinary differential equations (34-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
12 Classical thermodynamics, heat transfer (80-XX)
12 Systems theory; control (93-XX)
7 Dynamical systems and ergodic theory (37-XX)
4 Operator theory (47-XX)
4 Mechanics of particles and systems (70-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Computer science (68-XX)
3 Geophysics (86-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.