## Lachowicz, Mirosław

Compute Distance To:
 Author ID: lachowicz.miroslaw Published as: Lachowicz, Mirosław; Lachowicz, M.; Lachowicz, Miroslaw
 Documents Indexed: 82 Publications since 1983, including 3 Books 7 Contributions as Editor Co-Authors: 41 Co-Authors with 64 Joint Publications 1,213 Co-Co-Authors
all top 5

### Co-Authors

 25 single-authored 12 Banasiak, Jacek 11 Bellomo, Nicola 8 Arlotti, Luisa 7 Szymańska, Zuzanna 5 Leszczyński, Henryk 5 Parisot, Martin 4 Dolfin, Marina 4 Moszyński, Marcin 4 Wrzosek, Dariusz M. 3 De Angelis, Elena 3 Jagodziński, Sławomir 2 Bobrowski, Adam 2 Chaplain, Mark A. J. 2 Monaco, Roberto 2 Palczewski, Andrzej 2 Polewczak, Jacek 2 Quartarone, Andrea 2 Ryabukha, Tatiana V. 2 Topolski, Krzysztof A. 2 Toscani, Giuseppe 1 Anguelov, Roumen 1 Burini, Diletta 1 Capasso, Vincenzo 1 Dȩbowski, Mateusz 1 Dudziuk, Grzegorz 1 Esteban, Maria J. 1 Fermo, Luisa 1 Fiszdon, Wladyslaw 1 Friedman, Avner 1 Gamba, Andrea 1 Kozłowska, Emilia 1 Laurençot, Philippe 1 Ledzewicz, Urszula 1 Miękisz, Jacek 1 Morales-Rodrigo, Cristian 1 Phongi, Eddy Kimba 1 Piotrowska, Monika Joanna 1 Pulvirenti, Mario 1 Schadschneider, Andreas 1 Tomilov, Yuri 1 Ytrehus, Tor
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### Serials

 9 Applied Mathematics Letters 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Transport Theory and Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 Mathematical and Computer Modelling 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Biosciences and Engineering 3 Series on Advances in Mathematics for Applied Sciences 2 Archive for Rational Mechanics and Analysis 2 Semigroup Forum 2 Kinetic and Related Models 2 Springer Proceedings in Mathematics & Statistics 1 Archives of Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Studia Mathematica 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Hokkaido Mathematical Journal 1 Journal of Mathematics of Kyoto University 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ricerche di Matematica 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Applicationes Mathematicae 1 Journal of Theoretical Medicine 1 RIMS Kokyuroku 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 Communications in Applied and Industrial Mathematics 1 Journal of Theoretical Biology 1 Biomath 1 Modeling and Simulation in Science, Engineering and Technology
all top 5

### Fields

 42 Biology and other natural sciences (92-XX) 37 Partial differential equations (35-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Fluid mechanics (76-XX) 24 Integral equations (45-XX) 13 Operator theory (47-XX) 13 Probability theory and stochastic processes (60-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 8 General and overarching topics; collections (00-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 698 times in 452 Documents Cited by Year
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
2009
Methods of small parameter in mathematical biology. Zbl 1309.92012
Banasiak, Jacek; Lachowicz, Mirosław
2014
Mathematical modelling of cancer invasion: the importance of cell – cell adhesion and cell – matrix adhesion. Zbl 1221.35189
Chaplain, Mark A. J.; Lachowicz, Mirosław; Szymańska, Zuzanna; Wrzosek, Dariusz
2011
Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours. Zbl 1078.92036
Lachowicz, Mirosław
2005
On the initial layer and the existence theorem for the nonlinear Boltzmann equation. Zbl 0632.45005
Lachowicz, M.
1987
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
2000
Individually-based Markov processes modeling nonlinear systems in mathematical biology. Zbl 1225.93101
Lachowicz, Mirosław
2011
Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061
Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G.
1991
A kinetic model of tumor/immune system cellular interactions. Zbl 1050.92027
Arlotti, Luisa; Gamba, Andrea; Lachowicz, Miroslaw
2002
Qualitative analysis of a nonlinear integrodifferential equation modeling tumor-host dynamics. Zbl 0859.92011
Arlotti, L.; Lachowicz, M.
1996
A stochastic system of particles modelling the Euler equations. Zbl 0682.76002
Lachowicz, Miroslaw; Pulvirenti, Mario
1990
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
1989
Modeling altruism and selfishness in welfare dynamics: the role of nonlinear interactions. Zbl 1303.91074
Dolfin, Marina; Lachowicz, Mirosław
2014
A mathematical model for single cell cancer – immune system dynamics. Zbl 1085.92019
Kolev, M.; Kozłowska, E.; Lachowicz, M.
2005
Nonlocal bilinear equations. Equilibrium solutions and diffusive limit. Zbl 1012.45006
Lachowicz, Mirosław; Wrzosek, Dariusz
2001
Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056
Banasiak, Jacek; Lachowicz, Mirosław
2002
A Nonlocal coagulation-fragmentation model. Zbl 0994.35054
Lachowicz, Mirosław; Wrzosek, Dariusz
2000
On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046
Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N.
2012
Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142
Dolfin, Marina; Lachowicz, Mirosław
2015
From microscopic to macroscopic description for generalized kinetic models. Zbl 1174.82328
Lachowicz, Mirosław
2002
Semigroups for generalized birth-and-death equations in $$l^p$$ spaces. Zbl 1178.47027
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2006
Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2007
On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003
Banasiak, Jacek; Lachowicz, Mirosław
2013
Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001
Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw
2003
On the local existence and uniqueness of solution of the initial-value problem for the Enskog equation. Zbl 0551.76067
Lachowicz, Mirosław
1983
On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation. Zbl 1047.45006
Lachowicz, Miroslaw; Laurençot, Philippe; Wrzosek, Dariusz
2003
Nonlinear kinetic equations with dissipative collisions. Zbl 0835.76091
Bellomo, Nicola; Esteban, Maria Jesus; Lachowicz, Mirosław
1995
On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539
Bellomo, N.; Lachowicz, M.
1988
Blow-up and global existence for a kinetic equation of swarm formation. Zbl 1367.35046
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2017
From kinetic to Navier-Stokes-type equations. Zbl 0897.76004
Lachowicz, M.
1997
A kinetic model for the formation of swarms with nonlinear interactions. Zbl 1335.92114
Parisot, Martin; Lachowicz, Mirosław
2016
A general framework for modeling tumor-immune system competition at the mesoscopic level. Zbl 1388.92018
Lachowicz, M.; Quartarone, A.
2012
Lins between microscopic and macroscopic descriptions. Zbl 1264.92050
Lachowicz, Mirosław
2008
Mathematical modeling of the intracellular protein dynamics: the importance of active transport along microtubules. Zbl 1309.92041
Szymańska, Zuzanna; Parisot, Martin; Lachowicz, Mirosław
2014
Solutions of nonlinear kinetic equations on the level of the Navier- Stokes dynamics. Zbl 0785.76004
Lachowicz, Mirosław
1992
On the asymptotic theory of the Boltzmann and Enskog equations. A rigorous H-theorem for the Enskog equation. Zbl 0850.76608
Bellomo, N.; Lachowicz, M.
1991
On the hydrodynamic limit of the Enskog equation. Zbl 0972.82073
Lachowicz, Mirosław
1998
A singularly perturbed SIS model with age structure. Zbl 1269.92061
Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław
2013
Topological chaos: When topology meets medicine. Zbl 1075.47024
Banasiak, J.; Lachowicz, M.; Moszyński, M.
2003
A simple kinetic equation of swarm formation: blow-up and global existence. Zbl 1342.35052
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2016
Euler and Navier-Stokes limits of the Uehling-Uhlenbeck quantum kinetic equations. Zbl 0885.35102
Arlotti, Luisa; Lachowicz, Miroslaw
1997
On the limit of the nonlinear Enskog equation corresponding with fluid dynamics. Zbl 0668.76093
Lachowicz, Mirosław
1988
A discrete Boltzmann-type model of swarming. Zbl 1080.92001
Arlotti, L.; Deutsch, A.; Lachowicz, M.
2005
Chaotic linear dynamical systems with applications. Zbl 1035.37014
Banasiak, J.; Lachowicz, M.
2002
On the initial layer and the existence theorem for the nonlinear Boltzmann equation; differentiability of the solution of the corresponding system of linear equations. Zbl 0665.76086
Lachowicz, M.
1986
Existence problems of the non-linear Boltzmann equation. Zbl 0546.76096
Fiszdon, W.; Lachowicz, M.; Palczewski, A.
1984
Incompressible Navier-Stokes limit for the Enskog equation. Zbl 0983.82014
Jagodziński, S.; Lachowicz, M.
2000
Modeling DNA thermal denaturation at the mesoscopic level. Zbl 1327.92038
Dolfin, Marina; Lachowicz, Mirosław
2014
Multiscale problems in the life sciences. From microscopic to macroscopic. Lectures given at the Banach Center and C.I.M.E. joint summer school held in Bȩdlewo, Poland, September 4–9, 2006. Zbl 1159.92001
2008
Intracellular protein dynamics as a mathematical problem. Zbl 1352.35205
Lachowicz, Mirosław; Parisot, Martin; Szymańska, Zuzanna
2016
On the asymptotic behaviour of solutions of nonlinear kinetic equations. Zbl 0784.35086
Lachowicz, Mirosław
1991
The evolution of the generalized shape in immunology. Zbl 0898.92017
Bellomo, N.; Lachowicz, M.; Polewczak, J.
1997
Initial layer and existence of a solution of the nonlinear Boltzmann equation. Zbl 0636.76076
Lachowicz, Mirosław
1986
General population systems. macroscopic limit of a class of stochastic semigroups. Zbl 1084.34054
Lachowicz, Mirosław
2005
Equilibrium solutions for microscopic stochastic systems in population dynamics. Zbl 1269.92059
Lachowicz, Mirosław; Ryabukha, Tatiana
2013
Infinite Banach direct sums and diagonal $$C_0$$-semigroups with applications to a stochastic particle system. Zbl 1372.47056
Lachowicz, Mirosław; Moszyński, Marcin
2016
On bilinear kinetic equations. Between micro and macro descriptions of biological populations. Zbl 1082.35157
Lachowicz, Mirosław
2004
Around the Kato generation theorem for semigroups. Zbl 1115.47037
Banasiak, Jacek; Lachowicz, Mirosław
2007
A simple model of collagen remodeling. Zbl 1421.35380
Dudziuk, Grzegorz; Lachowicz, Mirosław; Leszczyński, Henryk; Szymańska, Zuzanna
2019
Existence and quantitative analysis of the solutions to the initial value problem for the discrete Boltzmann equation in all space. Zbl 0676.76067
Lachowicz, M.; Monaco, R.
1989
Some mathematical results on the asymptotic behaviour of the solutions to the initial value problem for the Enskog equation. Zbl 0707.76074
Bellomo, N.; Lachowicz, M.
1989
On two incompressible hydrodynamic limits of the Boltzmann-Enskog equation. I: Formal derivations. Zbl 1107.82048
Jagodziński, Sławomir; Lachowicz, Mirosław
2004
On the hydrodynamic limit for quantum kinetic equations. Zbl 0856.76071
Arlotti, Luisa; Lachowicz, Miroslaw
1996
A system of stochastic differential equations modeling the Euler and the Navier-Stokes hydrodynamic equations. Zbl 0781.60068
Lachowicz, Mirosław
1993
A Liapunov functional and dissipativity analysis for a kinetic model in mathematical biology. Zbl 0793.92009
Bellomo, N.; Lachowicz, M.
1992
Is the linearized Boltzmann-Enskog operator dissipative? Zbl 0986.47028
Lachowicz, M.
2001
A class of individual-based models. Zbl 1406.92505
Lachowicz, Mirosław
2018
A microscopic model of redistribution of individuals inside an ‘elevator’. Zbl 1406.35418
Dolfin, Marina; Lachowicz, Mirosław; Schadschneider, Andreas
2018
A class of microscopic individual models corresponding to the macroscopic logistic growth. Zbl 1406.60116
Lachowicz, Mirosław
2018
Self-organization with small range interactions: equilibria and creation of bipolarity. Zbl 1428.45008
Lachowicz, Mirosław; Leszczyński, Henryk; Topolski, Krzysztof A.
2019
Microscopic description of DNA thermal denaturation. Zbl 1428.92082
Dȩbowski, Mateusz; Lachowicz, Mirosław; Szymańska, Zuzanna
2019
A simple model of collagen remodeling. Zbl 1421.35380
Dudziuk, Grzegorz; Lachowicz, Mirosław; Leszczyński, Henryk; Szymańska, Zuzanna
2019
Self-organization with small range interactions: equilibria and creation of bipolarity. Zbl 1428.45008
Lachowicz, Mirosław; Leszczyński, Henryk; Topolski, Krzysztof A.
2019
Microscopic description of DNA thermal denaturation. Zbl 1428.92082
Dȩbowski, Mateusz; Lachowicz, Mirosław; Szymańska, Zuzanna
2019
A class of individual-based models. Zbl 1406.92505
Lachowicz, Mirosław
2018
A microscopic model of redistribution of individuals inside an ‘elevator’. Zbl 1406.35418
Dolfin, Marina; Lachowicz, Mirosław; Schadschneider, Andreas
2018
A class of microscopic individual models corresponding to the macroscopic logistic growth. Zbl 1406.60116
Lachowicz, Mirosław
2018
Blow-up and global existence for a kinetic equation of swarm formation. Zbl 1367.35046
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2017
A kinetic model for the formation of swarms with nonlinear interactions. Zbl 1335.92114
Parisot, Martin; Lachowicz, Mirosław
2016
A simple kinetic equation of swarm formation: blow-up and global existence. Zbl 1342.35052
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2016
Intracellular protein dynamics as a mathematical problem. Zbl 1352.35205
Lachowicz, Mirosław; Parisot, Martin; Szymańska, Zuzanna
2016
Infinite Banach direct sums and diagonal $$C_0$$-semigroups with applications to a stochastic particle system. Zbl 1372.47056
Lachowicz, Mirosław; Moszyński, Marcin
2016
Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142
Dolfin, Marina; Lachowicz, Mirosław
2015
Methods of small parameter in mathematical biology. Zbl 1309.92012
Banasiak, Jacek; Lachowicz, Mirosław
2014
Modeling altruism and selfishness in welfare dynamics: the role of nonlinear interactions. Zbl 1303.91074
Dolfin, Marina; Lachowicz, Mirosław
2014
Mathematical modeling of the intracellular protein dynamics: the importance of active transport along microtubules. Zbl 1309.92041
Szymańska, Zuzanna; Parisot, Martin; Lachowicz, Mirosław
2014
Modeling DNA thermal denaturation at the mesoscopic level. Zbl 1327.92038
Dolfin, Marina; Lachowicz, Mirosław
2014
On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003
Banasiak, Jacek; Lachowicz, Mirosław
2013
A singularly perturbed SIS model with age structure. Zbl 1269.92061
Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław
2013
Equilibrium solutions for microscopic stochastic systems in population dynamics. Zbl 1269.92059
Lachowicz, Mirosław; Ryabukha, Tatiana
2013
On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046
Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N.
2012
A general framework for modeling tumor-immune system competition at the mesoscopic level. Zbl 1388.92018
Lachowicz, M.; Quartarone, A.
2012
Mathematical modelling of cancer invasion: the importance of cell – cell adhesion and cell – matrix adhesion. Zbl 1221.35189
Chaplain, Mark A. J.; Lachowicz, Mirosław; Szymańska, Zuzanna; Wrzosek, Dariusz
2011
Individually-based Markov processes modeling nonlinear systems in mathematical biology. Zbl 1225.93101
Lachowicz, Mirosław
2011
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
2009
Lins between microscopic and macroscopic descriptions. Zbl 1264.92050
Lachowicz, Mirosław
2008
Multiscale problems in the life sciences. From microscopic to macroscopic. Lectures given at the Banach Center and C.I.M.E. joint summer school held in Bȩdlewo, Poland, September 4–9, 2006. Zbl 1159.92001
2008
Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2007
Around the Kato generation theorem for semigroups. Zbl 1115.47037
Banasiak, Jacek; Lachowicz, Mirosław
2007
Semigroups for generalized birth-and-death equations in $$l^p$$ spaces. Zbl 1178.47027
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2006
Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours. Zbl 1078.92036
Lachowicz, Mirosław
2005
A mathematical model for single cell cancer – immune system dynamics. Zbl 1085.92019
Kolev, M.; Kozłowska, E.; Lachowicz, M.
2005
A discrete Boltzmann-type model of swarming. Zbl 1080.92001
Arlotti, L.; Deutsch, A.; Lachowicz, M.
2005
General population systems. macroscopic limit of a class of stochastic semigroups. Zbl 1084.34054
Lachowicz, Mirosław
2005
On bilinear kinetic equations. Between micro and macro descriptions of biological populations. Zbl 1082.35157
Lachowicz, Mirosław
2004
On two incompressible hydrodynamic limits of the Boltzmann-Enskog equation. I: Formal derivations. Zbl 1107.82048
Jagodziński, Sławomir; Lachowicz, Mirosław
2004
Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001
Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw
2003
On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation. Zbl 1047.45006
Lachowicz, Miroslaw; Laurençot, Philippe; Wrzosek, Dariusz
2003
Topological chaos: When topology meets medicine. Zbl 1075.47024
Banasiak, J.; Lachowicz, M.; Moszyński, M.
2003
A kinetic model of tumor/immune system cellular interactions. Zbl 1050.92027
Arlotti, Luisa; Gamba, Andrea; Lachowicz, Miroslaw
2002
Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056
Banasiak, Jacek; Lachowicz, Mirosław
2002
From microscopic to macroscopic description for generalized kinetic models. Zbl 1174.82328
Lachowicz, Mirosław
2002
Chaotic linear dynamical systems with applications. Zbl 1035.37014
Banasiak, J.; Lachowicz, M.
2002
Nonlocal bilinear equations. Equilibrium solutions and diffusive limit. Zbl 1012.45006
Lachowicz, Mirosław; Wrzosek, Dariusz
2001
Is the linearized Boltzmann-Enskog operator dissipative? Zbl 0986.47028
Lachowicz, M.
2001
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
2000
A Nonlocal coagulation-fragmentation model. Zbl 0994.35054
Lachowicz, Mirosław; Wrzosek, Dariusz
2000
Incompressible Navier-Stokes limit for the Enskog equation. Zbl 0983.82014
Jagodziński, S.; Lachowicz, M.
2000
On the hydrodynamic limit of the Enskog equation. Zbl 0972.82073
Lachowicz, Mirosław
1998
From kinetic to Navier-Stokes-type equations. Zbl 0897.76004
Lachowicz, M.
1997
Euler and Navier-Stokes limits of the Uehling-Uhlenbeck quantum kinetic equations. Zbl 0885.35102
Arlotti, Luisa; Lachowicz, Miroslaw
1997
The evolution of the generalized shape in immunology. Zbl 0898.92017
Bellomo, N.; Lachowicz, M.; Polewczak, J.
1997
Qualitative analysis of a nonlinear integrodifferential equation modeling tumor-host dynamics. Zbl 0859.92011
Arlotti, L.; Lachowicz, M.
1996
On the hydrodynamic limit for quantum kinetic equations. Zbl 0856.76071
Arlotti, Luisa; Lachowicz, Miroslaw
1996
Nonlinear kinetic equations with dissipative collisions. Zbl 0835.76091
Bellomo, Nicola; Esteban, Maria Jesus; Lachowicz, Mirosław
1995
A system of stochastic differential equations modeling the Euler and the Navier-Stokes hydrodynamic equations. Zbl 0781.60068
Lachowicz, Mirosław
1993
Solutions of nonlinear kinetic equations on the level of the Navier- Stokes dynamics. Zbl 0785.76004
Lachowicz, Mirosław
1992
A Liapunov functional and dissipativity analysis for a kinetic model in mathematical biology. Zbl 0793.92009
Bellomo, N.; Lachowicz, M.
1992
Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061
Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G.
1991
On the asymptotic theory of the Boltzmann and Enskog equations. A rigorous H-theorem for the Enskog equation. Zbl 0850.76608
Bellomo, N.; Lachowicz, M.
1991
On the asymptotic behaviour of solutions of nonlinear kinetic equations. Zbl 0784.35086
Lachowicz, Mirosław
1991
A stochastic system of particles modelling the Euler equations. Zbl 0682.76002
Lachowicz, Miroslaw; Pulvirenti, Mario
1990
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
1989
Existence and quantitative analysis of the solutions to the initial value problem for the discrete Boltzmann equation in all space. Zbl 0676.76067
Lachowicz, M.; Monaco, R.
1989
Some mathematical results on the asymptotic behaviour of the solutions to the initial value problem for the Enskog equation. Zbl 0707.76074
Bellomo, N.; Lachowicz, M.
1989
On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539
Bellomo, N.; Lachowicz, M.
1988
On the limit of the nonlinear Enskog equation corresponding with fluid dynamics. Zbl 0668.76093
Lachowicz, Mirosław
1988
On the initial layer and the existence theorem for the nonlinear Boltzmann equation. Zbl 0632.45005
Lachowicz, M.
1987
On the initial layer and the existence theorem for the nonlinear Boltzmann equation; differentiability of the solution of the corresponding system of linear equations. Zbl 0665.76086
Lachowicz, M.
1986
Initial layer and existence of a solution of the nonlinear Boltzmann equation. Zbl 0636.76076
Lachowicz, Mirosław
1986
Existence problems of the non-linear Boltzmann equation. Zbl 0546.76096
Fiszdon, W.; Lachowicz, M.; Palczewski, A.
1984
On the local existence and uniqueness of solution of the initial-value problem for the Enskog equation. Zbl 0551.76067
Lachowicz, Mirosław
1983
all top 5

### Cited by 527 Authors

 49 Bellomo, Nicola 45 Lachowicz, Mirosław 17 Banasiak, Jacek 14 Bellouquid, Abdelghani 13 Chaplain, Mark A. J. 12 Soler, Juan S. 11 Knopoff, Damian A. 9 De Angelis, Elena 9 Winkler, Michael 8 Bianca, Carlo 8 Delitala, Marcello Edoardo 7 Arlotti, Luisa 7 Conejero, José Alberto 7 Dolfin, Marina 7 Kozitsky, Yuri Vasil’evich 7 Pulvirenti, Mario 7 Szymańska, Zuzanna 7 Trucu, Dumitru 7 Wang, Yifu 6 Leszczyński, Henryk 6 Murillo-Arcila, Marina 5 Burini, Diletta 5 Doungmo Goufo, Emile Franc 5 Gerisch, Alf 5 Gibelli, Livio 5 Jin, Chunhua 5 Kolev, Mikhail K. 5 Nieto, Juanjo 5 Painter, Kevin J. 5 Parisot, Martin 5 Peris, Alfredo 5 Shangerganesh, Lingeshwaran 5 Tao, Youshan 5 Wrzosek, Dariusz M. 5 Yang, Tong 5 Zubik-Kowal, Barbara 4 Brezzi, Franco 4 Caraballo Garrido, Tomás 4 Chouhad, Nadia 4 Coscia, Vincenzo 4 Degond, Pierre 4 Duan, Renjun 4 Fritz, Marvin 4 Marra, Rossana 4 Moszyński, Marcin 4 Oden, John Tinsley 4 Polewczak, Jacek 4 Surulescu, Christina 4 Trushechkin, Anton Sergeevich 4 Wohlmuth, Barbara I. 4 Zhang, Xianwen 4 Zheng, Jiashan 3 Carbonaro, Bruno 3 De Lillo, Silvana 3 Deiva Mani, V. N. 3 Esposito, Raffaele 3 Fermo, Luisa 3 Green, J. Edward F. 3 Herrera-Cobos, Marta 3 Hillen, Thomas 3 Jagodziński, Sławomir 3 Kostić, Marko 3 Lankeit, Johannes 3 Liu, Shuangqian 3 Lo Schiavo, Mauro 3 Lods, Bertrand 3 Macnamara, Cicely K. 3 Maini, Philip Kumar 3 Marciniak-Czochra, Anna K. 3 Marín-Rubio, Pedro 3 Pareschi, Lorenzo 3 Preziosi, Luigi 3 Shuttleworth, Robyn 3 Spiga, Giampiero 3 Toscani, Giuseppe 3 Wei, Jinbo 3 Wu, Zhigang 3 Yokota, Tomomi 3 Zhu, Changjiang 2 Arkeryd, Leif O. 2 Bartłomiejczyk, Agnieszka 2 Benfenati, Alessandro 2 Black, Tobias 2 Bobrowski, Adam 2 Bonzani, Ida 2 Brzychczy, Stanisław 2 Buttenschön, Andreas 2 Byrne, Helen Mary 2 Carlen, Eric Anders 2 Carrillo de la Plata, José Antonio 2 Cercignani, Carlo 2 Cheng, Chi Honn 2 Colombi, Annachiara 2 Dawidowicz, Antoni Leon 2 Eftimie, Raluca 2 Elettreby, Mohammed Fathy 2 Eshima, Nobuoki 2 Esteban, Maria J. 2 Falkiewicz, Aleksandra 2 Fioriti, Gioia ...and 427 more Authors
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### Cited in 113 Serials

 69 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 37 Mathematical and Computer Modelling 25 Journal of Mathematical Analysis and Applications 18 Journal of Differential Equations 15 Journal of Statistical Physics 14 Computers & Mathematics with Applications 13 Applied Mathematics Letters 12 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Theoretical Biology 11 Nonlinear Analysis. Real World Applications 10 Transport Theory and Statistical Physics 10 Bulletin of Mathematical Biology 9 Kinetic and Related Models 8 Journal of Mathematical Biology 8 Applied Mathematics and Computation 8 Mathematical Biosciences and Engineering 7 Archive for Rational Mechanics and Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 4 Semigroup Forum 4 Discrete and Continuous Dynamical Systems 4 International Journal of Biomathematics 4 Communications in Applied and Industrial Mathematics 3 Journal of Computational and Applied Mathematics 3 Physica D 3 SIAM Journal on Mathematical Analysis 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Networks and Heterogeneous Media 3 Open Mathematics 2 Mathematical Biosciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Systems & Control Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications on Pure and Applied Analysis 2 Computational & Mathematical Methods in Medicine 2 Mathematical Modelling of Natural Phenomena 2 Asian-European Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Nonlinearity 1 Physica A 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Physics of Fluids 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Communications in Contemporary Mathematics 1 The ANZIAM Journal 1 Dynamical Systems 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Advances in Difference Equations 1 Differential Equations & Nonlinear Mechanics 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Nonlinear Analysis. Hybrid Systems ...and 13 more Serials
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### Cited in 28 Fields

 231 Partial differential equations (35-XX) 229 Biology and other natural sciences (92-XX) 118 Statistical mechanics, structure of matter (82-XX) 77 Fluid mechanics (76-XX) 45 Ordinary differential equations (34-XX) 45 Numerical analysis (65-XX) 43 Integral equations (45-XX) 42 Operator theory (47-XX) 37 Dynamical systems and ergodic theory (37-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Probability theory and stochastic processes (60-XX) 10 Operations research, mathematical programming (90-XX) 7 Mechanics of particles and systems (70-XX) 7 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)