Edit Profile (opens in new tab) Tzavaras, Athanasios E. Compute Distance To: Compute Author ID: tzavaras.athanasios-e Published as: Tzavaras, Athanasios E.; Tzavaras, Athanasios; Tzavaras, A. E.; Tzavaras, Athanassios E.; Tzavaras, Thanos; Tzavaras, A. more...less Documents Indexed: 78 Publications since 1986 4 Contributions as Editor Co-Authors: 47 Co-Authors with 67 Joint Publications 1,648 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Katsaounis, Theodoros 5 Christoforou, Cleopatra C. 5 Slemrod, Marshall 4 Giesselmann, Jan 4 Lattanzio, Corrado 4 Lee, Min Gi 4 Miroshnikov, Alexey 4 Nohel, John A. 3 Demoulini, Sophia 3 Galanopoulou, Myrto 3 Huo, Xiaokai 3 Katsoulakis, Markos A. 3 Stuart, David M. A. 2 Baxevanis, Theocharis 2 Friedman, Avner 2 Ha, Seung-Yeal 2 Helzel, Christiane 2 Jüngel, Ansgar 2 LeFloch, Philippe Gerard 2 Liu, Jianguo 2 Pego, Robert L. 2 Tadmor, Eitan 1 Alves, Nuno J. 1 Arvanitis, Christos 1 Beris, Antony N. 1 Berthelin, Florent 1 Bolbot, Daria 1 Chen, Gui-Qiang G. 1 Dębiec, Tomasz 1 Georgiadis, Stefanos 1 Gosse, Laurent 1 Gwiazda, Piotr 1 Jabin, Pierre-Emmanuel 1 Kim, Yong Jung 1 Liu, Hailiang 1 Makridakis, Charalambos G. 1 Margetis, Dionisios 1 Mavrantzas, Vlasis G. 1 Menon, Govind K. 1 Mitsotakis, Dimitrios E. 1 Olivier, Julien 1 Otto, Felix 1 Perthame, Benoît 1 Portilheiro, Manuel 1 Świerczewska-Gwiazda, Agnieszka 1 Vasseur, Alexis F. 1 Wang, Shuaikun all top 5 Serials 15 Archive for Rational Mechanics and Analysis 6 SIAM Journal on Mathematical Analysis 5 Communications in Partial Differential Equations 3 Quarterly of Applied Mathematics 2 Communications in Mathematical Physics 2 Journal of Statistical Physics 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Sciences 2 Proceedings of Symposia in Applied Mathematics 1 Applicable Analysis 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Mathematics of Computation 1 Indiana University Mathematics Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Integral Equations and Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Information and Systems 1 SIAM Journal on Applied Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 62 Partial differential equations (35-XX) 37 Mechanics of deformable solids (74-XX) 32 Fluid mechanics (76-XX) 13 Statistical mechanics, structure of matter (82-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 685 times in 472 Documents Cited by ▼ Year ▼ Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 41 2012 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 38 2008 Representation of weak limits and definition of nonconservative products. Zbl 0939.35115LeFloch, Philippe G.; Tzavaras, Athanasios E. 35 1999 Contractive relaxation systems and the scalar multidimensional conservation law. Zbl 0884.35093Katsoulakis, Markos A.; Tzavaras, Athanasios E. 34 1997 Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics. Zbl 1359.35140Giesselmann, Jan; Lattanzio, Corrado; Tzavaras, Athanasios E. 32 2017 Relative entropy in diffusive relaxation. Zbl 1277.35246Lattanzio, Corrado; Tzavaras, Athanasios E. 30 2013 Materials with internal variables and relaxation to conservation laws. Zbl 0973.74005Tzavaras, Athanasios E. 29 1999 Kinetic decomposition of approximate solutions to conservation laws: Application to relaxation and diffusion-dispersion approximations. Zbl 1020.35054Hwang, Seok; Tzavaras, Athanasios E. 26 2002 Relative entropy in hyperbolic relaxation. Zbl 1098.35104Tzavaras, Athanasios E. 25 2005 A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 23 2001 Diffusive \(N\)-waves and metastability in the Burgers equation. Zbl 1077.35092Kim, Yong Jung; Tzavaras, Athanasios E. 20 2001 Weak solutions for a nonlinear system in viscoelasticity. Zbl 0635.73047Nohel, J. A.; Rogers, R. C.; Tzavaras, A. E. 20 1988 From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis 19 2009 A limiting viscosity approach for the Riemann problem in isentropic gas dynamics. Zbl 0675.76073Slemrod, Marshall; Tzavaras, Athanasios E. 19 1989 From gas dynamics with large friction to gradient flows describing diffusion theories. Zbl 1367.35090Lattanzio, Corrado; Tzavaras, Athanasios E. 18 2017 Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws. Zbl 0857.35082Tzavaras, Athanasios E. 17 1996 Effect of thermal softening in shearing of strain-rate dependent materials. Zbl 0625.73004Tzavaras, A. E. 17 1987 Kinetic formulation for systems of two conservation laws and elastodynamics. Zbl 0980.35092Perthame, Benoit; Tzavaras, Athanasios 16 2000 Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity. Zbl 1397.35302Christoforou, Cleopatra; Tzavaras, Athanasios E. 14 2018 Shearing of materials exhibiting thermal softening or temperature dependent viscosity. Zbl 0628.76001Tzavaras, A. E. 14 1986 Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics. Zbl 1089.74017Lattanzio, Corrado; Tzavaras, Athanasios E. 12 2006 Plastic shearing of materials exhibiting strain hardening or strain softening. Zbl 0596.73014Tzavaras, Athanassios E. 12 1986 Stability properties of the Euler-Korteweg system with nonmonotone pressures. Zbl 1373.35228Giesselmann, Jan; Tzavaras, Athanasios E. 11 2017 Lyapunov functionals and \(L^1\)-stability for discrete velocity Boltzmann equations. Zbl 1024.35067Ha, Seung-Yeal; Tzavaras, Athanasios E. 10 2003 A quasilinear parabolic system arising in modelling of catalytic reactors. Zbl 0659.35055Friedman, Avner; Tzavaras, Athanassios E. 10 1987 Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E. 10 1990 Stability and convergence of a class of finite element schemes for hyperbolic systems of conservation laws. Zbl 1127.65066Arvanitis, Christos; Makridakis, Charalambos; Tzavaras, Athanasios E. 9 2004 Convergence of relaxation schemes to the equations of elastodynamics. Zbl 0964.35097Gosse, Laurent; Tzavaras, Athanasios E. 8 2001 Self-similar fluid-dynamic limits for the Broadwell system. Zbl 0801.76002Slemrod, Marshall; Tzavaras, Athanasios E. 8 1993 High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 7 2019 Singular limiting induced from continuum solutions and the problem of dynamic cavitation. Zbl 1293.35322Giesselmann, Jan; Tzavaras, Athanasios E. 7 2014 Strain softening in viscoelasticity of the rate type. Zbl 0755.73045Tzavaras, Athanasios E. 6 1991 A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Zbl 07024450Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 6 2018 Conservation of energy for the Euler-Korteweg equations. Zbl 1442.76053Dębiec, Tomasz; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Tzavaras, Athanasios 5 2018 Kinetic decomposition for periodic homogenization problems. Zbl 1194.35040Jabin, Pierre-Emmanuel; Tzavaras, Athanasios E. 5 2009 Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 4 2000 Elastic as limit of viscoelastic response, in a context of self-similar viscous limits. Zbl 0853.73015Tzavaras, Athanasios E. 4 1995 Existence theory for the Riemann problem for non-conservative hyperbolic systems. Zbl 0864.35073LeFloch, Philippe G.; Tzavaras, Athanasios E. 4 1996 Wave structure induced by fluid-dynamic limits in the Broadwell model. Zbl 0819.76005Tzavaras, Athanasios E. 4 1994 On the construction and properties of weak solutions describing dynamic cavitation. Zbl 1314.35185Miroshnikov, Alexey; Tzavaras, Athanasios E. 4 2015 Effective equations for localization and shear band formation. Zbl 1196.74020Katsaounis, Theodoros; Tzavaras, Athanasios E. 4 2009 Combustion in a porous medium. Zbl 0659.35056Friedman, Avner; Tzavaras, Athanassios E. 4 1988 Multiscale analysis for interacting particles: relaxation systems and scalar conservation laws. Zbl 1080.82566Katsoulakis, Markos A.; Tzavaras, Athanasios E. 4 1999 Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity. Zbl 1431.35198Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 4 2019 Viscosity and relaxation approximation for hyperbolic systems of conservation laws. Zbl 0969.74006Tzavaras, Athanasios E. 3 1999 Adaptive finite element computations of shear band formation. Zbl 1404.74025Baxevanis, Th.; Katsaounis, Th.; Tzavaras, A. E. 3 2010 A kinetic model for the sedimentation of rod-like particles. Zbl 1362.76059Helzel, Christiane; Tzavaras, Athanasios E. 3 2017 On the mathematical theory of fluid dynamic limits to conservation laws. Zbl 0965.35132Tzavaras, Athanasios E. 2 2000 Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves. Zbl 1120.35066Portilheiro, Manuel; Tzavaras, Athanasios E. 2 2007 Stress relaxation models with polyconvex entropy in Lagrangean and Eulerian coordinates. Zbl 1311.35156Tzavaras, Athanasios E. 2 2013 An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. Zbl 07410698Huo, Xiaokai; Liu, Hailiang; Tzavaras, Athanasios E.; Wang, Shuaikun 2 2021 A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows. Zbl 1376.76071Helzel, Christiane; Tzavaras, Athanasios E. 2 2016 Remarks on the contributions of Constantine M. Dafermos to the subject of conservation laws. Zbl 1265.35001Chen, Guiqiang G.; Tzavaras, Athanasios E. 2 2012 A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians. Zbl 1275.35008Miroshnikov, Alexey; Tzavaras, Athanasios E. 2 2012 Emergence of coherent localized structures in shear deformations of temperature dependent fluids. Zbl 1366.35132Katsaounis, Theodoros; Olivier, Julien; Tzavaras, Athanasios E. 2 2017 The relaxation limit of bipolar fluid models. Zbl 1481.35318Alves, Nuno J.; Tzavaras, Athanasios E. 1 2022 Contractive relaxation systems and interacting particles for scalar conservation laws. Zbl 0860.35075Katsoulakis, Markos A.; Tzavaras, Athanasios E. 1 1996 A finite element method for computing shear band formation. Zbl 1100.74055Baxevanis, Th.; Katsaounis, Th.; Tzavaras, A. 1 2006 A discrete variational scheme for isentropic processes in polyconvex thermoelasticity. Zbl 1451.35209Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 1 2020 Kinetic hierarchies and macroscopic limits for crystalline steps in \(1+1\) dimensions. Zbl 1178.35361Margetis, Dionisios; Tzavaras, Athanasios E. 1 2009 Hyperbolic conservation laws in viscoelasticity. Zbl 0684.73021Nohel, J. A.; Rogers, R. C.; Tzavaras, A. E. 1 1989 Hyperbolic problems. Theory, numerics and applications. Plenary and invited talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Zbl 1179.35008 1 2009 Localization and shear bands in high strain-rate plasticity. Zbl 1404.74027Katsaounis, Theodoros; Tzavaras, Athanasios 1 2011 Existence of localizing solutions in plasticity via geometric singular perturbation theory. Zbl 1434.35221Lee, Min-Gi; Tzavaras, Athanasios 1 2017 Convergence of variational approximation schemes for elastodynamics with polyconvex energy. Zbl 1286.35234Miroshnikov, Alexey; Tzavaras, Athanasios E. 1 2014 Localization of adiabatic deformations in thermoviscoplastic materials. Zbl 1407.74022Lee, Min-Gi; Katsaounis, Theodoros; Tzavaras, Athanasios E. 1 2018 The relaxation limit of bipolar fluid models. Zbl 1481.35318Alves, Nuno J.; Tzavaras, Athanasios E. 1 2022 An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. Zbl 07410698Huo, Xiaokai; Liu, Hailiang; Tzavaras, Athanasios E.; Wang, Shuaikun 2 2021 A discrete variational scheme for isentropic processes in polyconvex thermoelasticity. Zbl 1451.35209Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 1 2020 High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 7 2019 Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity. Zbl 1431.35198Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 4 2019 Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity. Zbl 1397.35302Christoforou, Cleopatra; Tzavaras, Athanasios E. 14 2018 A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Zbl 07024450Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. 6 2018 Conservation of energy for the Euler-Korteweg equations. Zbl 1442.76053Dębiec, Tomasz; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Tzavaras, Athanasios 5 2018 Localization of adiabatic deformations in thermoviscoplastic materials. Zbl 1407.74022Lee, Min-Gi; Katsaounis, Theodoros; Tzavaras, Athanasios E. 1 2018 Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics. Zbl 1359.35140Giesselmann, Jan; Lattanzio, Corrado; Tzavaras, Athanasios E. 32 2017 From gas dynamics with large friction to gradient flows describing diffusion theories. Zbl 1367.35090Lattanzio, Corrado; Tzavaras, Athanasios E. 18 2017 Stability properties of the Euler-Korteweg system with nonmonotone pressures. Zbl 1373.35228Giesselmann, Jan; Tzavaras, Athanasios E. 11 2017 A kinetic model for the sedimentation of rod-like particles. Zbl 1362.76059Helzel, Christiane; Tzavaras, Athanasios E. 3 2017 Emergence of coherent localized structures in shear deformations of temperature dependent fluids. Zbl 1366.35132Katsaounis, Theodoros; Olivier, Julien; Tzavaras, Athanasios E. 2 2017 Existence of localizing solutions in plasticity via geometric singular perturbation theory. Zbl 1434.35221Lee, Min-Gi; Tzavaras, Athanasios 1 2017 A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows. Zbl 1376.76071Helzel, Christiane; Tzavaras, Athanasios E. 2 2016 On the construction and properties of weak solutions describing dynamic cavitation. Zbl 1314.35185Miroshnikov, Alexey; Tzavaras, Athanasios E. 4 2015 Singular limiting induced from continuum solutions and the problem of dynamic cavitation. Zbl 1293.35322Giesselmann, Jan; Tzavaras, Athanasios E. 7 2014 Convergence of variational approximation schemes for elastodynamics with polyconvex energy. Zbl 1286.35234Miroshnikov, Alexey; Tzavaras, Athanasios E. 1 2014 Relative entropy in diffusive relaxation. Zbl 1277.35246Lattanzio, Corrado; Tzavaras, Athanasios E. 30 2013 Stress relaxation models with polyconvex entropy in Lagrangean and Eulerian coordinates. Zbl 1311.35156Tzavaras, Athanasios E. 2 2013 Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 41 2012 Remarks on the contributions of Constantine M. Dafermos to the subject of conservation laws. Zbl 1265.35001Chen, Guiqiang G.; Tzavaras, Athanasios E. 2 2012 A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians. Zbl 1275.35008Miroshnikov, Alexey; Tzavaras, Athanasios E. 2 2012 Localization and shear bands in high strain-rate plasticity. Zbl 1404.74027Katsaounis, Theodoros; Tzavaras, Athanasios 1 2011 Adaptive finite element computations of shear band formation. Zbl 1404.74025Baxevanis, Th.; Katsaounis, Th.; Tzavaras, A. E. 3 2010 From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis 19 2009 Kinetic decomposition for periodic homogenization problems. Zbl 1194.35040Jabin, Pierre-Emmanuel; Tzavaras, Athanasios E. 5 2009 Effective equations for localization and shear band formation. Zbl 1196.74020Katsaounis, Theodoros; Tzavaras, Athanasios E. 4 2009 Kinetic hierarchies and macroscopic limits for crystalline steps in \(1+1\) dimensions. Zbl 1178.35361Margetis, Dionisios; Tzavaras, Athanasios E. 1 2009 Hyperbolic problems. Theory, numerics and applications. Plenary and invited talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Zbl 1179.35008 1 2009 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 38 2008 Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves. Zbl 1120.35066Portilheiro, Manuel; Tzavaras, Athanasios E. 2 2007 Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics. Zbl 1089.74017Lattanzio, Corrado; Tzavaras, Athanasios E. 12 2006 A finite element method for computing shear band formation. Zbl 1100.74055Baxevanis, Th.; Katsaounis, Th.; Tzavaras, A. 1 2006 Relative entropy in hyperbolic relaxation. Zbl 1098.35104Tzavaras, Athanasios E. 25 2005 Stability and convergence of a class of finite element schemes for hyperbolic systems of conservation laws. Zbl 1127.65066Arvanitis, Christos; Makridakis, Charalambos; Tzavaras, Athanasios E. 9 2004 Lyapunov functionals and \(L^1\)-stability for discrete velocity Boltzmann equations. Zbl 1024.35067Ha, Seung-Yeal; Tzavaras, Athanasios E. 10 2003 Kinetic decomposition of approximate solutions to conservation laws: Application to relaxation and diffusion-dispersion approximations. Zbl 1020.35054Hwang, Seok; Tzavaras, Athanasios E. 26 2002 A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 23 2001 Diffusive \(N\)-waves and metastability in the Burgers equation. Zbl 1077.35092Kim, Yong Jung; Tzavaras, Athanasios E. 20 2001 Convergence of relaxation schemes to the equations of elastodynamics. Zbl 0964.35097Gosse, Laurent; Tzavaras, Athanasios E. 8 2001 Kinetic formulation for systems of two conservation laws and elastodynamics. Zbl 0980.35092Perthame, Benoit; Tzavaras, Athanasios 16 2000 Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 4 2000 On the mathematical theory of fluid dynamic limits to conservation laws. Zbl 0965.35132Tzavaras, Athanasios E. 2 2000 Representation of weak limits and definition of nonconservative products. Zbl 0939.35115LeFloch, Philippe G.; Tzavaras, Athanasios E. 35 1999 Materials with internal variables and relaxation to conservation laws. Zbl 0973.74005Tzavaras, Athanasios E. 29 1999 Multiscale analysis for interacting particles: relaxation systems and scalar conservation laws. Zbl 1080.82566Katsoulakis, Markos A.; Tzavaras, Athanasios E. 4 1999 Viscosity and relaxation approximation for hyperbolic systems of conservation laws. Zbl 0969.74006Tzavaras, Athanasios E. 3 1999 Contractive relaxation systems and the scalar multidimensional conservation law. Zbl 0884.35093Katsoulakis, Markos A.; Tzavaras, Athanasios E. 34 1997 Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws. Zbl 0857.35082Tzavaras, Athanasios E. 17 1996 Existence theory for the Riemann problem for non-conservative hyperbolic systems. Zbl 0864.35073LeFloch, Philippe G.; Tzavaras, Athanasios E. 4 1996 Contractive relaxation systems and interacting particles for scalar conservation laws. Zbl 0860.35075Katsoulakis, Markos A.; Tzavaras, Athanasios E. 1 1996 Elastic as limit of viscoelastic response, in a context of self-similar viscous limits. Zbl 0853.73015Tzavaras, Athanasios E. 4 1995 Wave structure induced by fluid-dynamic limits in the Broadwell model. Zbl 0819.76005Tzavaras, Athanasios E. 4 1994 Self-similar fluid-dynamic limits for the Broadwell system. Zbl 0801.76002Slemrod, Marshall; Tzavaras, Athanasios E. 8 1993 Strain softening in viscoelasticity of the rate type. Zbl 0755.73045Tzavaras, Athanasios E. 6 1991 Stability of discontinuous steady states in shearing motions of a non- Newtonian fluid. Zbl 0702.76011Nohel, John A.; Pego, Robert L.; Tzavaras, Athanasios E. 10 1990 A limiting viscosity approach for the Riemann problem in isentropic gas dynamics. Zbl 0675.76073Slemrod, Marshall; Tzavaras, Athanasios E. 19 1989 Hyperbolic conservation laws in viscoelasticity. Zbl 0684.73021Nohel, J. A.; Rogers, R. C.; Tzavaras, A. E. 1 1989 Weak solutions for a nonlinear system in viscoelasticity. Zbl 0635.73047Nohel, J. A.; Rogers, R. C.; Tzavaras, A. E. 20 1988 Combustion in a porous medium. Zbl 0659.35056Friedman, Avner; Tzavaras, Athanassios E. 4 1988 Effect of thermal softening in shearing of strain-rate dependent materials. Zbl 0625.73004Tzavaras, A. E. 17 1987 A quasilinear parabolic system arising in modelling of catalytic reactors. Zbl 0659.35055Friedman, Avner; Tzavaras, Athanassios E. 10 1987 Shearing of materials exhibiting thermal softening or temperature dependent viscosity. Zbl 0628.76001Tzavaras, A. E. 14 1986 Plastic shearing of materials exhibiting strain hardening or strain softening. Zbl 0596.73014Tzavaras, Athanassios E. 12 1986 all cited Publications top 5 cited Publications all top 5 Cited by 533 Authors 35 Tzavaras, Athanasios E. 15 Gosse, Laurent 13 Vasseur, Alexis F. 11 Choi, Young-Pil 10 Carrillo de la Plata, José Antonio 10 Kim, Yong Jung 10 Lattanzio, Corrado 9 Christoforou, Cleopatra C. 9 Giesselmann, Jan 8 Charalambakis, Nicolas Ch. 8 Kang, Moon-Jin 7 Chen, Gui-Qiang G. 7 Coclite, Giuseppe Maria 7 Feireisl, Eduard 7 Gwiazda, Piotr 7 Ha, Seung-Yeal 7 LeFloch, Philippe Gerard 7 Yong, Wen-An 6 Brenier, Yann 6 Jüngel, Ansgar 6 Katsaounis, Theodoros 6 Liu, Jianguo 6 Mai Duc Thanh 6 Makridakis, Charalambos G. 6 Świerczewska-Gwiazda, Agnieszka 6 Wiedemann, Emil 5 Antonelli, Paolo 5 Jin, Shi 5 Kwon, Young-Sam 5 Liu, Hailiang 5 Marcati, Pierangelo 5 Masmoudi, Nader 5 Mishra, Siddhartha 5 Natalini, Roberto 5 Süli, Endre E. 5 Zhang, Yanyan 4 Amadori, Debora 4 Barrett, John William 4 Berthelin, Florent 4 Chung, Jaywan 4 Dębiec, Tomasz 4 Fjordholm, Ulrik Skre 4 Helzel, Christiane 4 Huo, Xiaokai 4 Karlsen, Kenneth Hvistendahl 4 Lee, Min Gi 4 Lu, Yunguang 4 Miroshnikov, Alexey 4 Perthame, Benoît 4 Rohde, Christian 4 Schecter, Stephen 4 Slemrod, Marshall 4 Tang, Tong 4 Vinh, Duong Xuan 4 Zhelyazov, Delyan 3 Arvanitis, Christos 3 Audiard, Corentin 3 Bouchut, François 3 Bresch, Didier 3 Cancès, Clément 3 Constantin, Peter 3 Coquel, Frédéric 3 Di Ruvo, Lorenzo 3 Fan, Haitao 3 Frid, Hermano 3 Galanopoulou, Myrto 3 Gisclon, Marguerite 3 Katsoulakis, Markos A. 3 Klingenberg, Christian 3 Krupa, Sam G. 3 Mathis, Hélène 3 Mitrovic, Darko 3 Murat, François 3 Nečasová, Šárka 3 Otto, Felix 3 Perepelitsa, Misha 3 Rigatos, A. P. 3 Seguin, Nicolas 3 Sfakianakis, Nikolaos I. 3 Shu, Chi-Wang 3 Spinolo, Laura V. 3 Spirito, Stefano 3 Wróblewska-Kamińska, Aneta 3 Xin, Zhouping 3 Zuazua, Enrique 2 Abreu, Eduardo 2 Aiki, Toyohiko 2 Aleksic, Jelena 2 Bae, Hyeong-Ohk 2 Berthon, Christophe 2 Boudourides, Moses A. 2 Bourdarias, Christian 2 Boutin, Benjamin 2 Breit, Dominic 2 Caggio, Matteo 2 Carnevale, Giada Cianfarani 2 Castro, Manuel J. 2 Chatzigeorgiou, George 2 Ciuperca, Ionel Sorin 2 Coclite, Mario Michele ...and 433 more Authors all top 5 Cited in 120 Serials 51 Journal of Differential Equations 44 Archive for Rational Mechanics and Analysis 22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Journal of Mathematical Analysis and Applications 17 SIAM Journal on Mathematical Analysis 15 Journal of Hyperbolic Differential Equations 14 Communications in Partial Differential Equations 11 Mathematics of Computation 10 Journal of Computational Physics 9 Quarterly of Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Communications in Mathematical Physics 6 Proceedings of the American Mathematical Society 6 Journal of Integral Equations and Applications 6 Journal of Nonlinear Science 6 Calculus of Variations and Partial Differential Equations 6 Kinetic and Related Models 5 Journal of Mathematical Physics 5 Numerische Mathematik 5 Transactions of the American Mathematical Society 5 Nonlinear Analysis. Real World Applications 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Transport Theory and Statistical Physics 4 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 SIAM Journal on Scientific Computing 4 Discrete and Continuous Dynamical Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Physica D 3 Computational Mechanics 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Fluid Mechanics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Multiscale Modeling & Simulation 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 Communications on Pure and Applied Mathematics 2 Bulletin of Mathematical Biology 2 Theoretical and Computational Fluid Dynamics 2 BIT 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Physics of Fluids 2 Abstract and Applied Analysis 2 Journal of Evolution Equations 2 Foundations of Computational Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Acta Numerica 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 Séminaire Laurent Schwartz. EDP et Applications 2 SMAI Journal of Computational Mathematics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Colloquium Mathematicum 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Izvestiya: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nihonkai Mathematical Journal 1 Discrete and Continuous Dynamical Systems. Series B ...and 20 more Serials all top 5 Cited in 30 Fields 394 Partial differential equations (35-XX) 204 Fluid mechanics (76-XX) 82 Numerical analysis (65-XX) 71 Mechanics of deformable solids (74-XX) 65 Statistical mechanics, structure of matter (82-XX) 20 Biology and other natural sciences (92-XX) 15 Integral equations (45-XX) 14 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Optics, electromagnetic theory (78-XX) 5 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year