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## Abels, Helmut

Compute Distance To:
 Author ID: abels.helmut Published as: Abels, Helmut External Links: MGP
 Documents Indexed: 74 Publications since 2002, including 2 Books
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#### Co-Authors

 22 single-authored 9 Garcke, Harald 5 Terasawa, Yutaka 4 Liu, Yuning 4 Pfeuffer, Christine 3 Mora, Maria Giovanna 3 Müller, Stefan 3 Schaubeck, Stefan 3 Weber, Josef 2 Butz, Julia 2 Daube, Johannes 2 Depner, Daniel 2 Diening, Lars 2 Dolzmann, Georg 2 Grün, Günther 2 Kassmann, Moritz 2 Kraus, Christiane 2 Lam, Kei Fong 2 Moser, Maximilian 2 Müller, Lars 2 Wilke, Mathias 1 Aland, Sebastian 1 Arab, Nasrin 1 Bosia, Stefano 1 Breit, Dominic 1 Feireisl, Eduard 1 Grasselli, Maurizio 1 Grubb, Gerd 1 Husseini, Ryad 1 Kampmann, Johannes 1 Krbec, Miroslav 1 Kröner, Dietmar 1 Lengeler, Daniel 1 Metzger, Stefan 1 Mokbel, Dominic 1 Neira Jiménez, Carolina 1 Röger, Matthias 1 Schöttl, Andreas 1 Schumacher, Katrin 1 Stinner, Bjorn 1 Wiegner, Michael 1 Wood, Ian Geoffrey
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#### Serials

 4 SIAM Journal on Mathematical Analysis 4 Interfaces and Free Boundaries 3 Mathematische Nachrichten 3 Journal of Mathematical Fluid Mechanics 2 Archive for Rational Mechanics and Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Communications in Partial Differential Equations 2 Advances in Differential Equations 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Nonlinearity 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Calculus of Variations and Partial Differential Equations 1 The Journal of Fourier Analysis and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Journal of Function Spaces and Applications 1 GAMM-Mitteilungen 1 RIMS Kôkyûroku Bessatsu 1 Journal of Pseudo-Differential Operators and Applications 1 Berichte aus der Mathematik
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#### Fields

 70 Partial differential equations (35-XX) 47 Fluid mechanics (76-XX) 15 Operator theory (47-XX) 6 Differential geometry (53-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

57 Publications have been cited 814 times in 457 Documents Cited by Year
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
2012
On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Zbl 1254.76158
Abels, Helmut
2009
Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. Zbl 1121.35018
Abels, Helmut; Wilke, Mathias
2007
On a diffuse interface model for a two-phase flow of compressible viscous fluids. Zbl 1144.35041
Abels, Helmut; Feireisl, Eduard
2008
Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities. Zbl 1165.76050
Abels, Helmut
2009
On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060
Abels, Helmut
2007
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut; Depner, Daniel; Garcke, Harald
2013
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids. Zbl 1181.35343
Abels, Helmut; Röger, Matthias
2009
On Stokes operators with variable viscosity in bounded and unbounded domains. Zbl 1172.35050
Abels, Helmut; Terasawa, Yutaka
2009
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system. Zbl 1167.76008
Abels, Helmut
2009
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut; Depner, Daniel; Garcke, Harald
2013
The initial-value problem for the Navier-Stokes equations with a free surface in $$L^q$$-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
2005
Cahn-Hilliard equation with nonlocal singular free energies. Zbl 1320.35083
Abels, Helmut; Bosia, Stefano; Grasselli, Maurizio
2015
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
2009
Well-posedness of a fully coupled Navier-Stokes/$$\mathrm Q$$-tensor system with inhomogeneous boundary data. Zbl 1336.35283
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
2014
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
2014
Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow. Zbl 1333.76079
Abels, Helmut
2012
Pseudodifferential and singular integral operators. An introduction with applications. Zbl 1235.35001
Abels, Helmut
2012
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: $$H_\infty$$-calculus. Zbl 1083.35085
Abels, Helmut
2005
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
2016
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Zbl 1297.35177
Abels, Helmut; Diening, Lars; Terasawa, Yutaka
2014
Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Zbl 1191.76038
Abels, Helmut
2010
Pseudodifferential boundary value problems with nonsmooth coefficients. Zbl 1087.35099
Abels, Helmut
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability. Zbl 1070.35020
Abels, Helmut
2005
On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058
Abels, Helmut; Lengeler, Daniel
2014
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system. Zbl 1326.35112
Abels, Helmut; Lam, Kei Fong; Stinner, Björn
2015
Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343
Abels, Helmut; Wiegner, Michael
2005
Weak solutions for a non-Newtonian diffuse interface model with different densities. Zbl 1354.35084
Abels, Helmut; Breit, Dominic
2016
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
2007
On the trace space of Sobolev space with a radial weight. Zbl 1169.46012
Abels, Helmut; Krbec, Miroslav; Schumacher, Katrin
2008
Bounded imaginary power and $$H_{\infty}$$-calculus of the Stokes operator in unbounded domains. Zbl 1109.35084
Abels, Helmut
2005
Bounded imaginary powers and $$H_\infty$$-calculus of the Stokes operator in two-dimensional exterior domains. Zbl 1091.35054
Abels, Helmut
2005
Stokes equations in asymptotically flat domains and the motion of a free surface. Zbl 1028.35117
Abels, Helmut
2003
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions. Zbl 1117.35060
Abels, Helmut
2006
Two-phase flow with surfactants: diffuse interface models and their analysis. Zbl 1391.76766
Abels, Helmut; Garcke, Harald; Lam, Kei Fong; Weber, Josef
2017
Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. Zbl 1302.35457
Abels, Helmut; Wilke, Mathias
2013
On the notion of generalized solutions of viscous incompressible two-phase flows. Zbl 1119.35042
Abels, Helmut
2007
Boundedness of imaginary powers of the Stokes operator in an infinite layer. Zbl 1030.35131
Abels, Helmut
2002
Sharp interface limit for a Stokes/Allen-Cahn system. Zbl 1394.35343
Abels, Helmut; Liu, Yuning
2018
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Zbl 1335.53079
Abels, Helmut; Garcke, Harald; Müller, Lars
2016
Short time existence for the curve diffusion flow with a contact angle. Zbl 1426.53098
Abels, Helmut; Butz, Julia
2019
Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids. Zbl 1391.76767
Abels, Helmut; Liu, Yuning; Schöttl, Andreas
2017
Spectral invariance of non-smooth pseudo-differential operators. Zbl 1372.35388
Abels, Helmut; Pfeuffer, Christine
2016
Sharp interface limit for the Cahn-Larché system. Zbl 1320.35022
Abels, Helmut; Schaubeck, Stefan
2015
A phase-field model for fluid-structure interaction. Zbl 1415.74023
Mokbel, Dominic; Abels, Helmut; Aland, Sebastian
2018
Well-posedness of a Navier-Stokes/mean curvature flow system. Zbl 1401.35353
Abels, Helmut; Moser, Maximilian
2018
Characterization of non-smooth pseudodifferential operators. Zbl 1391.35442
Abels, Helmut; Pfeuffer, Christine
2018
Nonconvergence of the capillary stress functional for solutions of the convective Cahn-Hilliard equation. Zbl 1371.35209
Abels, Helmut; Schaubeck, Stefan
2016
Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Zbl 1314.53115
Abels, Helmut; Garcke, Harald; Müller, Lars
2015
$$L_q$$-$$L_r$$-estimates for non-stationary Stokes equations in an aperture domain. Zbl 1027.35087
Abels, Helmut
2002
Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. Zbl 1428.35270
Abels, Helmut; Daube, Johannes; Kraus, Christiane
2019
Diffuse interface models for incompressible two-phase flows with different densities. Zbl 1391.76765
Abels, Helmut; Garcke, Harald; Grün, Günther; Metzger, Stefan
2017
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Zbl 1366.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
2015
Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. Zbl 1303.76008
Abels, Helmut; Terasawa, Yutaka
2010
Stokes equations in asymptotically flat layers. Zbl 1101.35344
Abels, Helmut
2005
Short time existence for the curve diffusion flow with a contact angle. Zbl 1426.53098
Abels, Helmut; Butz, Julia
2019
Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. Zbl 1428.35270
Abels, Helmut; Daube, Johannes; Kraus, Christiane
2019
Sharp interface limit for a Stokes/Allen-Cahn system. Zbl 1394.35343
Abels, Helmut; Liu, Yuning
2018
A phase-field model for fluid-structure interaction. Zbl 1415.74023
Mokbel, Dominic; Abels, Helmut; Aland, Sebastian
2018
Well-posedness of a Navier-Stokes/mean curvature flow system. Zbl 1401.35353
Abels, Helmut; Moser, Maximilian
2018
Characterization of non-smooth pseudodifferential operators. Zbl 1391.35442
Abels, Helmut; Pfeuffer, Christine
2018
Two-phase flow with surfactants: diffuse interface models and their analysis. Zbl 1391.76766
Abels, Helmut; Garcke, Harald; Lam, Kei Fong; Weber, Josef
2017
Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids. Zbl 1391.76767
Abels, Helmut; Liu, Yuning; Schöttl, Andreas
2017
Diffuse interface models for incompressible two-phase flows with different densities. Zbl 1391.76765
Abels, Helmut; Garcke, Harald; Grün, Günther; Metzger, Stefan
2017
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
2016
Weak solutions for a non-Newtonian diffuse interface model with different densities. Zbl 1354.35084
Abels, Helmut; Breit, Dominic
2016
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Zbl 1335.53079
Abels, Helmut; Garcke, Harald; Müller, Lars
2016
Spectral invariance of non-smooth pseudo-differential operators. Zbl 1372.35388
Abels, Helmut; Pfeuffer, Christine
2016
Nonconvergence of the capillary stress functional for solutions of the convective Cahn-Hilliard equation. Zbl 1371.35209
Abels, Helmut; Schaubeck, Stefan
2016
Cahn-Hilliard equation with nonlocal singular free energies. Zbl 1320.35083
Abels, Helmut; Bosia, Stefano; Grasselli, Maurizio
2015
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system. Zbl 1326.35112
Abels, Helmut; Lam, Kei Fong; Stinner, Björn
2015
Sharp interface limit for the Cahn-Larché system. Zbl 1320.35022
Abels, Helmut; Schaubeck, Stefan
2015
Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Zbl 1314.53115
Abels, Helmut; Garcke, Harald; Müller, Lars
2015
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Zbl 1366.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
2015
Well-posedness of a fully coupled Navier-Stokes/$$\mathrm Q$$-tensor system with inhomogeneous boundary data. Zbl 1336.35283
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
2014
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
2014
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Zbl 1297.35177
Abels, Helmut; Diening, Lars; Terasawa, Yutaka
2014
On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058
Abels, Helmut; Lengeler, Daniel
2014
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut; Depner, Daniel; Garcke, Harald
2013
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut; Depner, Daniel; Garcke, Harald
2013
Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. Zbl 1302.35457
Abels, Helmut; Wilke, Mathias
2013
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
2012
Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow. Zbl 1333.76079
Abels, Helmut
2012
Pseudodifferential and singular integral operators. An introduction with applications. Zbl 1235.35001
Abels, Helmut
2012
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Zbl 1191.76038
Abels, Helmut
2010
Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. Zbl 1303.76008
Abels, Helmut; Terasawa, Yutaka
2010
On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Zbl 1254.76158
Abels, Helmut
2009
Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities. Zbl 1165.76050
Abels, Helmut
2009
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids. Zbl 1181.35343
Abels, Helmut; Röger, Matthias
2009
On Stokes operators with variable viscosity in bounded and unbounded domains. Zbl 1172.35050
Abels, Helmut; Terasawa, Yutaka
2009
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system. Zbl 1167.76008
Abels, Helmut
2009
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
2009
On a diffuse interface model for a two-phase flow of compressible viscous fluids. Zbl 1144.35041
Abels, Helmut; Feireisl, Eduard
2008
On the trace space of Sobolev space with a radial weight. Zbl 1169.46012
Abels, Helmut; Krbec, Miroslav; Schumacher, Katrin
2008
Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. Zbl 1121.35018
Abels, Helmut; Wilke, Mathias
2007
On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060
Abels, Helmut
2007
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
2007
On the notion of generalized solutions of viscous incompressible two-phase flows. Zbl 1119.35042
Abels, Helmut
2007
Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions. Zbl 1117.35060
Abels, Helmut
2006
The initial-value problem for the Navier-Stokes equations with a free surface in $$L^q$$-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: $$H_\infty$$-calculus. Zbl 1083.35085
Abels, Helmut
2005
Pseudodifferential boundary value problems with nonsmooth coefficients. Zbl 1087.35099
Abels, Helmut
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability. Zbl 1070.35020
Abels, Helmut
2005
Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343
Abels, Helmut; Wiegner, Michael
2005
Bounded imaginary power and $$H_{\infty}$$-calculus of the Stokes operator in unbounded domains. Zbl 1109.35084
Abels, Helmut
2005
Bounded imaginary powers and $$H_\infty$$-calculus of the Stokes operator in two-dimensional exterior domains. Zbl 1091.35054
Abels, Helmut
2005
Stokes equations in asymptotically flat layers. Zbl 1101.35344
Abels, Helmut
2005
Stokes equations in asymptotically flat domains and the motion of a free surface. Zbl 1028.35117
Abels, Helmut
2003
Boundedness of imaginary powers of the Stokes operator in an infinite layer. Zbl 1030.35131
Abels, Helmut
2002
$$L_q$$-$$L_r$$-estimates for non-stationary Stokes equations in an aperture domain. Zbl 1027.35087
Abels, Helmut
2002
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#### Cited by 568 Authors

 37 Abels, Helmut 21 Garcke, Harald 19 Grasselli, Maurizio 17 Tachim Medjo, Theodore 14 Gal, Ciprian Gheorghe Sorin 11 Miranville, Alain M. 11 Wu, Hao 9 Lam, Kei Fong 9 Rocca, Elisabetta 8 Giorgini, Andrea 8 Schimperna, Giulio 8 Shibata, Yoshihiro 7 Frigeri, Sergio 7 Grubb, Gerd 6 Behrndt, Jussi 6 Colli, Pierluigi 6 Dong, Suchuan 6 Kahle, Christian 6 Metzger, Stefan 6 Sprekels, Jürgen 5 Aland, Sebastian 5 Davoli, Elisa 5 Giga, Yoshikazu 5 Gilardi, Gianni 5 Hieber, Matthias 5 Kotschote, Matthias 5 Liu, Yuning 5 Lowengrub, John Samuel 5 Nürnberg, Robert 5 Van Brummelen, Harald 5 Yang, Zhiguo 4 Ding, Shijin 4 Ebenbeck, Matthias 4 Geissert, Matthias 4 Giesselmann, Jan 4 Grün, Günther 4 Guo, Zhenlin 4 Han, Daozhi 4 Heida, Martin 4 Hinze, Michael 4 Li, Yinghua 4 Lin, Ping 4 Maekawa, Yasunori 4 Miura, Hideyuki 4 Mora, Maria Giovanna 4 Saal, Jürgen 4 Shimizu, Senjo 4 Shokrpour Roudbari, Mahnaz 4 Terasawa, Yutaka 4 Vojnović, Ivana 4 Wang, Qi 4 Wang, Xiaoming 4 Xu, Xiang 4 Zhao, Jia 3 Abe, Ken 3 Barrett, John W. 3 Bosia, Stefano 3 Cherfils, Laurence 3 Denisova, Irina Vlad. 3 Deugoue, Gabriel 3 Dreyer, Wolfgang 3 Feireisl, Eduard 3 Freistühler, Heinrich 3 Gong, Yuezheng 3 Kassmann, Moritz 3 Knopf, Patrik 3 Kou, Jisheng 3 Kraus, Christiane 3 Langer, Matthias 3 Liero, Matthias 3 Liu, Chun 3 Lotoreichik, Vladimir 3 Mikulevicius, Remigijus 3 Müller, Stefan 3 Petzeltová, Hana 3 Pilipović, Stevan 3 Rossi, Riccarda 3 Saito, Hirokazu 3 Segatti, Antonio 3 Sun, Shuyu 3 Temam, Roger Meyer 3 Wang, Wei 3 Weber, Josef 3 Wise, Steven M. 3 Wood, Ian Geoffrey 3 You, Bo 3 Zarnescu, Arghir Dani 3 Zhang, Zhifei 2 Ainsworth, Mark 2 Akagi, Goro 2 Aki, Gonca L. 2 Aleksic, Jelena 2 Bänsch, Eberhard 2 Bonart, Henning 2 Bulíček, Miroslav 2 Calo, Victor Manuel 2 Cavaterra, Cecilia 2 Dai, Mimi 2 Dede, Luca 2 Denk, Robert ...and 468 more Authors
all top 5

#### Cited in 142 Serials

 28 Journal of Differential Equations 26 Journal of Computational Physics 24 Journal of Mathematical Analysis and Applications 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Journal of Mathematical Fluid Mechanics 16 Archive for Rational Mechanics and Analysis 15 SIAM Journal on Mathematical Analysis 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Mathematical Methods in the Applied Sciences 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Communications on Pure and Applied Analysis 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Functional Analysis 7 Journal of Scientific Computing 7 Communications in Partial Differential Equations 6 Computers & Mathematics with Applications 6 Discrete and Continuous Dynamical Systems 5 Mathematische Nachrichten 5 Potential Analysis 5 Calculus of Variations and Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 4 Applicable Analysis 4 Computers and Fluids 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of the Mathematical Society of Japan 4 European Journal of Applied Mathematics 4 Journal of Nonlinear Science 4 NoDEA. Nonlinear Differential Equations and Applications 4 Interfaces and Free Boundaries 4 Journal of Evolution Equations 4 Journal of Pseudo-Differential Operators and Applications 3 International Journal of Engineering Science 3 Journal of Fluid Mechanics 3 Journal of Mathematical Physics 3 Integral Equations and Operator Theory 3 Mathematische Annalen 3 SIAM Journal on Control and Optimization 3 Physica D 3 Applied Mathematics Letters 3 SIAM Journal on Applied Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 Applications of Mathematics 2 Journal of Elasticity 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annals of Mathematics. Second Series 2 Computational Geosciences 2 Annales Henri Poincaré 2 Stochastics and Dynamics 2 Multiscale Modeling & Simulation 2 Mediterranean Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 2 Journal of Elliptic and Parabolic Equations 1 Computer Physics Communications 1 Inverse Problems 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis ...and 42 more Serials
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#### Cited in 32 Fields

 357 Partial differential equations (35-XX) 258 Fluid mechanics (76-XX) 73 Numerical analysis (65-XX) 50 Operator theory (47-XX) 38 Mechanics of deformable solids (74-XX) 30 Classical thermodynamics, heat transfer (80-XX) 28 Statistical mechanics, structure of matter (82-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Probability theory and stochastic processes (60-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Biology and other natural sciences (92-XX) 20 Functional analysis (46-XX) 15 Integral equations (45-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Differential geometry (53-XX) 8 Geophysics (86-XX) 6 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)