Edit Profile Schonbek, Maria Elena Compute Distance To: Compute Author ID: schonbek.maria-elena Published as: Schonbek, M.; Schonbek, M. E.; Schonbek, Maria; Schonbek, Maria E.; Schonbek, Maria Elena; Schonbek, María E. Documents Indexed: 78 Publications since 1977 all top 5 Co-Authors 26 single-authored 7 Schonbek, Tomas P. 6 Dai, Mimi 4 Bjorland, Clayton 4 Rajopadhye, Shubha V. 3 Bona, Jerry Lloyd 3 Feireisl, Eduard 3 Karch, Grzegorz 3 Niche, César J. 3 Qing, Jie 3 Süli, Endre E. 2 Brandolese, Lorenzo 2 Carrillo de la Plata, José Antonio 2 Rocca, Elisabetta 2 Schimperna, Giulio 2 Shibata, Yoshihiro 2 Wiegner, Michael 1 Agapito, Rubén 1 Amick, Charles J. 1 Amrouche, Chérif 1 Bank, Miriam 1 Ben-Artzi, Matania 1 Bergues Cabrales, Luis Enrique 1 Cañizo, José Alfredo 1 Cannone, Marco 1 Castañeda, Antonio Rafael Selva 1 Chae, Dongho 1 Girault, Vivette 1 González, María del Mar 1 Gualdani, Maria Pia 1 Han, Pigong 1 Hishida, Toshiaki 1 Iftimie, Dragoş 1 Kostova, Tanya V. 1 Majda, Andrew J. 1 Málek, Josef 1 Miller, Judith R. 1 Miyakawa, Tetsuro 1 Montijano, Juan Ignacio 1 Nečas, Jindřich 1 Ogawa, Takayoshi 1 O’Leary, Mike 1 Pilarczyk, Dominika 1 Planchon, Fabrice 1 Pokorný, Milan 1 Ravindran, Renuka 1 Rosales, Rodolfo Ruben 1 Sammartino, Marco Maria Luigi 1 Sciacca, Vincenzo 1 Seregin, Gregory A. 1 Todorov, Andrey N. 1 Vallis, Geoffrey K. 1 Zubelli, Jorge P. all top 5 Serials 10 Communications in Partial Differential Equations 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Advances in Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Indiana University Mathematics Journal 3 Mathematische Annalen 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Methods and Applications of Analysis 1 Advances in Theoretical and Mathematical Physics 1 RIMS Kokyuroku 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 75 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 68 Publications have been cited 1,730 times in 1,013 Documents Cited by ▼ Year ▼ \(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031Schonbek, Maria Elena 206 1985 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 154 1986 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 107 1982 Decay of solutions of some nonlinear wave equations. Zbl 0689.35081Amick, C. J.; Bona, J. L.; Schonbek, M. E. 89 1989 Lower bounds of rates of decay for solutions to the Navier-Stokes equations. Zbl 0739.35070Schonbek, Maria E. 83 1991 On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212Chae, Dongho; Schonbek, Maria 80 2013 Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015Bona, J. L.; Schonbek, M. E. 77 1985 Decay of solutions to parabolic conservation laws. Zbl 0476.35012Schonbek, Maria Elena 60 1980 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086Schonbek, Maria E.; Wiegner, Michael 59 1996 Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Zbl 0759.35036Schonbek, Maria E. 52 1992 Large-time behaviour of solutions to the magneto-hydrodynamics equations. Zbl 0846.35018Schonbek, M. E.; Schonbek, T. P.; Süli, Endre 48 1996 Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217Brandolese, Lorenzo; Schonbek, Maria E. 46 2012 Large time behaviour of solution to the Navier-Stokes equations in \(H^ m\) spaces. Zbl 0831.35132Schonbek, Maria E. 42 1995 Existence of solutions for the Boussinesq system of equations. Zbl 0476.35067Schonbek, Maria Elena 38 1981 Asymptotic behavior to dissipative quasi-geostrophic flows. Zbl 1126.76386Schonbek, Maria E.; Schonbek, Tomas P. 37 2003 On optimal decay rates for weak solutions to the Navier-Stokes equations in \(\mathbb R^n\). Zbl 0981.35048Miyakawa, Tetsuro; Schonbek, Maria Elena 35 2001 Uniform decay rates for parabolic conservation laws. Zbl 0617.35060Schonbek, Maria E. 30 1986 Asymptotic behavior of solutions to liquid crystal systems in \({\mathbb R}^3\). Zbl 1294.76050Dai, Mimi; Qing, Jie; Schonbek, Maria 26 2012 Decay of weak solutions to the 2D dissipative quasi-geostrophic equation. Zbl 1194.76040Niche, César J.; Schonbek, María E. 26 2007 Non-uniform decay of MHD equations with and without magnetic diffusion. Zbl 1132.35073Agapito, Rubén; Schonbek, Maria 24 2007 A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria 23 1988 Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows. Zbl 1091.35070Schonbek, Maria; Schonbek, Tomas 22 2005 Decay characterization of solutions to dissipative equations. Zbl 1316.35038Niche, C. J.; Schonbek, M. E. 21 2015 On questions of decay and existence for the viscous Camassa-Holm equations. Zbl 1156.35323Bjorland, Clayton; Schonbek, Maria E. 21 2008 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047Bjorland, Clayton; Schonbek, Maria E. 20 2009 Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112Cannone, Marco; Planchon, Fabrice; Schonbek, Maria 19 2000 On the boundedness and decay of moments of solutions to the Navier-Stokes equations. Zbl 1027.35095Schonbek, Maria E.; Schonbek, Tomas P. 18 2000 Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P. 18 2000 Asymptotic behavior of solutions to the liquid crystal system in \(H^m(\mathbb{R}^3)\). Zbl 1307.76026Dai, Mimi; Schonbek, Maria 17 2014 Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E. 17 2013 Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 16 2017 The Fourier splitting method. Zbl 0842.35142Schonbek, Maria 16 1995 Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E. 15 1997 \(L^p\)-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E. 12 2011 FitzHugh-Nagumo revisited: types of bifurcations, periodical forcing and stability regions by a Lyapunov functional. Zbl 1100.34031Kostova, Tanya; Ravindran, Renuka; Schonbek, Maria 12 2004 Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system. Zbl 0983.35103Miller, Judith R.; O’Leary, Mike; Schonbek, Maria 12 2001 On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 9 2016 Boundary value problems for the Fitzhugh-Nagumo equations. Zbl 0407.35024Schonbek, Maria Elena 9 1978 Existence and decay of polymeric flows. Zbl 1189.35263Schonbek, Maria E. 8 2009 \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). Zbl 1368.35207Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E. 7 2017 Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers system. Zbl 0836.35144Schonbek, M. E.; Rajopadhye, S. V. 7 1995 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 7 1994 Existence of solutions to singular conservation laws. Zbl 0567.35060Schonbek, Maria Elena 7 1984 Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206Han, Pigong; Schonbek, Maria E. 6 2014 Regularity of solutions to the liquid crystals systems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1252.76021Dai, Mimi; Qing, Jie; Schonbek, Maria 6 2012 On zero mass solutions of viscous conservation laws. Zbl 1021.35016Karch, Grzegorz; Schonbek, Maria Elena 6 2002 On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\). Zbl 1367.35128Schonbek, Maria; Shibata, Yoshihiro 5 2017 On the Oberbeck-Boussinesq approximation on unbounded domains. Zbl 1252.35227Feireisl, Eduard; Schonbek, Maria E. 5 2012 On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E. 5 1999 Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations. Zbl 1360.35187Niche, César J.; Schonbek, María E. 4 2016 Norm inflation for incompressible magneto-hydrodynamic system in \(\dot B^{-1,\infty}_\infty\). Zbl 1357.76099Dai, Mimi; Qing, Jie; Schonbek, Maria E. 4 2011 Existence and stability of steady-state solutions with finite energy for the Navier-Stokes equation in the whole space. Zbl 1172.35463Bjorland, Clayton; Schonbek, Maria E. 4 2009 Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Zbl 0989.35069Schonbek, Maria Elena; Süli, Endre 4 2001 Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067Hishida, Toshiaki; Schonbek, Maria Elena 3 2016 Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces. Zbl 1184.35263Schonbek, Maria E. 3 2006 Total variation decay of solutions to the Navier-Stokes equations. Zbl 1001.76023Schonbek, Maria Elena 3 2000 Energy decay of solutions to the Boussinesq, primitive, and planetary geostrophic equations. Zbl 0938.35145Schonbek, Maria; Vallis, Geoffrey K. 3 1999 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237Schonbek, M.; Seregin, G. 2 2018 Long time behavior for a dissipative shallow water model. Zbl 1383.35174Sciacca, Vincenzo; Schonbek, M. E.; Sammartino, Marco 2 2017 Decay rates for a class of diffusive-dominated interaction equations. Zbl 1248.35019Cañizo, José A.; Carrillo, José A.; Schonbek, Maria E. 2 2012 Geodesic flows on diffeomorphisms of the circle, Grassmannians, and the geometry of the periodic KdV equation. Zbl 1003.37044Schonbek, Maria E.; Todorov, Andrey N.; Zubelli, Jorge P. 2 1999 Second-order conservative schemes and the entropy condition. Zbl 0567.65064Schonbek, Maria E. 2 1985 Some results on the FitzHugh-Nagumo equations. Zbl 0364.35029Schonbek, M. E. 2 1977 Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P. 1 2020 Nonexistence of pseudo-self-similar solutions to incompressible Euler equations. Zbl 1265.35253Schonbek, Maria 1 2011 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 Decay of non-oscillating solutions to the magneto-hydrodynamic equations. Zbl 0928.35136Schonbek, M. E. 1 1998 A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations. Zbl 0475.35009Schonbek, M. E. 1 1981 Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P. 1 2020 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237Schonbek, M.; Seregin, G. 2 2018 Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 16 2017 \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). Zbl 1368.35207Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E. 7 2017 On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\). Zbl 1367.35128Schonbek, Maria; Shibata, Yoshihiro 5 2017 Long time behavior for a dissipative shallow water model. Zbl 1383.35174Sciacca, Vincenzo; Schonbek, M. E.; Sammartino, Marco 2 2017 On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E. 9 2016 Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations. Zbl 1360.35187Niche, César J.; Schonbek, María E. 4 2016 Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067Hishida, Toshiaki; Schonbek, Maria Elena 3 2016 Decay characterization of solutions to dissipative equations. Zbl 1316.35038Niche, C. J.; Schonbek, M. E. 21 2015 Asymptotic behavior of solutions to the liquid crystal system in \(H^m(\mathbb{R}^3)\). Zbl 1307.76026Dai, Mimi; Schonbek, Maria 17 2014 Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206Han, Pigong; Schonbek, Maria E. 6 2014 On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212Chae, Dongho; Schonbek, Maria 80 2013 Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E. 17 2013 Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217Brandolese, Lorenzo; Schonbek, Maria E. 46 2012 Asymptotic behavior of solutions to liquid crystal systems in \({\mathbb R}^3\). Zbl 1294.76050Dai, Mimi; Qing, Jie; Schonbek, Maria 26 2012 Regularity of solutions to the liquid crystals systems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1252.76021Dai, Mimi; Qing, Jie; Schonbek, Maria 6 2012 On the Oberbeck-Boussinesq approximation on unbounded domains. Zbl 1252.35227Feireisl, Eduard; Schonbek, Maria E. 5 2012 Decay rates for a class of diffusive-dominated interaction equations. Zbl 1248.35019Cañizo, José A.; Carrillo, José A.; Schonbek, Maria E. 2 2012 \(L^p\)-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E. 12 2011 Norm inflation for incompressible magneto-hydrodynamic system in \(\dot B^{-1,\infty}_\infty\). Zbl 1357.76099Dai, Mimi; Qing, Jie; Schonbek, Maria E. 4 2011 Nonexistence of pseudo-self-similar solutions to incompressible Euler equations. Zbl 1265.35253Schonbek, Maria 1 2011 Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047Bjorland, Clayton; Schonbek, Maria E. 20 2009 Existence and decay of polymeric flows. Zbl 1189.35263Schonbek, Maria E. 8 2009 Existence and stability of steady-state solutions with finite energy for the Navier-Stokes equation in the whole space. Zbl 1172.35463Bjorland, Clayton; Schonbek, Maria E. 4 2009 On questions of decay and existence for the viscous Camassa-Holm equations. Zbl 1156.35323Bjorland, Clayton; Schonbek, Maria E. 21 2008 Decay of weak solutions to the 2D dissipative quasi-geostrophic equation. Zbl 1194.76040Niche, César J.; Schonbek, María E. 26 2007 Non-uniform decay of MHD equations with and without magnetic diffusion. Zbl 1132.35073Agapito, Rubén; Schonbek, Maria 24 2007 Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces. Zbl 1184.35263Schonbek, Maria E. 3 2006 Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows. Zbl 1091.35070Schonbek, Maria; Schonbek, Tomas 22 2005 FitzHugh-Nagumo revisited: types of bifurcations, periodical forcing and stability regions by a Lyapunov functional. Zbl 1100.34031Kostova, Tanya; Ravindran, Renuka; Schonbek, Maria 12 2004 Asymptotic behavior to dissipative quasi-geostrophic flows. Zbl 1126.76386Schonbek, Maria E.; Schonbek, Tomas P. 37 2003 On zero mass solutions of viscous conservation laws. Zbl 1021.35016Karch, Grzegorz; Schonbek, Maria Elena 6 2002 On optimal decay rates for weak solutions to the Navier-Stokes equations in \(\mathbb R^n\). Zbl 0981.35048Miyakawa, Tetsuro; Schonbek, Maria Elena 35 2001 Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system. Zbl 0983.35103Miller, Judith R.; O’Leary, Mike; Schonbek, Maria 12 2001 Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Zbl 0989.35069Schonbek, Maria Elena; Süli, Endre 4 2001 Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112Cannone, Marco; Planchon, Fabrice; Schonbek, Maria 19 2000 On the boundedness and decay of moments of solutions to the Navier-Stokes equations. Zbl 1027.35095Schonbek, Maria E.; Schonbek, Tomas P. 18 2000 Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P. 18 2000 Total variation decay of solutions to the Navier-Stokes equations. Zbl 1001.76023Schonbek, Maria Elena 3 2000 On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E. 5 1999 Energy decay of solutions to the Boussinesq, primitive, and planetary geostrophic equations. Zbl 0938.35145Schonbek, Maria; Vallis, Geoffrey K. 3 1999 Geodesic flows on diffeomorphisms of the circle, Grassmannians, and the geometry of the periodic KdV equation. Zbl 1003.37044Schonbek, Maria E.; Todorov, Andrey N.; Zubelli, Jorge P. 2 1999 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 Decay of non-oscillating solutions to the magneto-hydrodynamic equations. Zbl 0928.35136Schonbek, M. E. 1 1998 Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E. 15 1997 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086Schonbek, Maria E.; Wiegner, Michael 59 1996 Large-time behaviour of solutions to the magneto-hydrodynamics equations. Zbl 0846.35018Schonbek, M. E.; Schonbek, T. P.; Süli, Endre 48 1996 Large time behaviour of solution to the Navier-Stokes equations in \(H^ m\) spaces. Zbl 0831.35132Schonbek, Maria E. 42 1995 The Fourier splitting method. Zbl 0842.35142Schonbek, Maria 16 1995 Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers system. Zbl 0836.35144Schonbek, M. E.; Rajopadhye, S. V. 7 1995 Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E. 7 1994 Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Zbl 0759.35036Schonbek, Maria E. 52 1992 Lower bounds of rates of decay for solutions to the Navier-Stokes equations. Zbl 0739.35070Schonbek, Maria E. 83 1991 Decay of solutions of some nonlinear wave equations. Zbl 0689.35081Amick, C. J.; Bona, J. L.; Schonbek, M. E. 89 1989 A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria 23 1988 Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071Schonbek, Maria E. 154 1986 Uniform decay rates for parabolic conservation laws. Zbl 0617.35060Schonbek, Maria E. 30 1986 \(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031Schonbek, Maria Elena 206 1985 Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015Bona, J. L.; Schonbek, M. E. 77 1985 Second-order conservative schemes and the entropy condition. Zbl 0567.65064Schonbek, Maria E. 2 1985 Existence of solutions to singular conservation laws. Zbl 0567.35060Schonbek, Maria Elena 7 1984 Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058Schonbek, Maria Elena 107 1982 Existence of solutions for the Boussinesq system of equations. Zbl 0476.35067Schonbek, Maria Elena 38 1981 A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations. Zbl 0475.35009Schonbek, M. E. 1 1981 Decay of solutions to parabolic conservation laws. Zbl 0476.35012Schonbek, Maria Elena 60 1980 Boundary value problems for the Fitzhugh-Nagumo equations. Zbl 0407.35024Schonbek, Maria Elena 9 1978 Some results on the FitzHugh-Nagumo equations. Zbl 0364.35029Schonbek, M. E. 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,055 Authors 34 Schonbek, Maria Elena 25 Wu, Jiahong 22 Dong, Boqing 21 Coclite, Giuseppe Maria 18 Chae, Dongho 18 Yao, Zhengan 17 Di Ruvo, Lorenzo 17 Guo, Boling 17 Zhao, Huijiang 15 Fan, Jishan 15 Han, Pigong 14 Zhou, Yong 13 Mai Duc Thanh 13 Zhang, Linghai 13 Zhao, Xiaopeng 12 Jin, Bum Ja 12 Zhang, Ping 11 Jia, Yan 11 Kružík, Martin 10 Dai, Mimi 10 Karch, Grzegorz 10 Zingano, Paulo R. A. 9 Brandolese, Lorenzo 9 Chen, Zhimin 9 Gao, Jincheng 9 Kaikina, Elena Igorevna 9 Liu, Qiao 8 Bae, Hyeong-Ohk 8 Bona, Jerry Lloyd 8 Chang, Tongkeun 8 Liu, Zhaoxia 8 Nakamura, Gen 8 Naumkin, Pavel Ivanovich 8 Niche, César J. 7 Cung The Anh 7 Ferreira, Lucas Catão de Freitas 7 He, Yinnian 7 Li, Yin 7 Miyakawa, Tetsuro 7 Rocca, Elisabetta 7 Skalák, Zdeněk 7 Slemrod, Marshall 7 Wei, Ruiying 7 Zhang, Weiguo 7 Zhu, Mingxuan 6 Abidi, Hammadi 6 Braz e Silva, Pablo 6 Constantin, Peter 6 Feireisl, Eduard 6 Kukavica, Igor 6 LeFloch, Philippe Gerard 6 Melo, Wilberclay G. 6 Saut, Jean-Claude 6 Wu, Hao 6 Zhang, Guodong 6 Zhao, Kun 5 Dougalis, Vassilios A. 5 Feng, Zhaosheng 5 Gala, Sadek 5 Hayat, Tasawar 5 He, Cheng 5 Ignat, Liviu I. 5 Kondo, Cezar I. 5 Kozono, Hideo 5 Liu, Zhengrong 5 Ogawa, Takayoshi 5 Okabe, Takahiro 5 Planas, Gabriela 5 Rajopadhye, Shubha V. 5 Rauch, Jeffrey B. 5 Shibata, Yoshihiro 5 Smaoui, Nejib 5 Tao, Qiang 5 Wan, Renhui 5 Xi, Xiaoyu 5 Xu, Li 5 Yamazaki, Kazuo 5 Yin, Zhaoyang 4 Bedjaoui, Nabil 4 Borchers, Wolfgang 4 Cáceres, María-José 4 Duan, Ning 4 Guterres, Robert H. 4 Hayashi, Nakao 4 Hiep, Nguyen Huu 4 Hu, Jinsong 4 Jeffrey, Alan P. 4 Jiang, Zaihong 4 Ju, Ning 4 Kang, Kyungkeun 4 Karlsen, Kenneth Hvistendahl 4 Kim, Jaemyoung 4 Li, Fucai 4 Li, Xiang 4 Mammeri, Youcef 4 Maremonti, Paolo 4 Nunes, Juliana R. 4 Perusato, Cilon F. 4 Ragusa, Maria Alessandra 4 Schütz, Lineia ...and 955 more Authors all top 5 Cited in 196 Serials 99 Journal of Differential Equations 68 Journal of Mathematical Analysis and Applications 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Archive for Rational Mechanics and Analysis 27 Communications in Partial Differential Equations 24 Journal of Mathematical Fluid Mechanics 22 Applicable Analysis 22 Applied Mathematics and Computation 22 Journal of Functional Analysis 22 Nonlinear Analysis. Real World Applications 20 Journal of Mathematical Physics 19 Mathematical Methods in the Applied Sciences 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Nonlinear Analysis. Theory, Methods & Applications 17 Applied Mathematics Letters 16 Physica D 15 Communications in Mathematical Physics 15 Acta Applicandae Mathematicae 14 Discrete and Continuous Dynamical Systems 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 SIAM Journal on Mathematical Analysis 12 Communications on Pure and Applied Analysis 11 Computers & Mathematics with Applications 11 Acta Mathematicae Applicatae Sinica. English Series 10 Nonlinearity 10 Advances in Mathematics 10 Mathematische Annalen 9 Chinese Annals of Mathematics. Series B 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Journal of Nonlinear Science 8 Wave Motion 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Abstract and Applied Analysis 8 Discrete and Continuous Dynamical Systems. Series B 7 Transactions of the American Mathematical Society 6 Chaos, Solitons and Fractals 6 NoDEA. Nonlinear Differential Equations and Applications 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Computational Physics 5 Journal of Computational and Applied Mathematics 5 Mathematics and Computers in Simulation 5 Studies in Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Nonlinear Dynamics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Boundary Value Problems 4 Applied Mathematics and Optimization 4 Proceedings of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Journal of Dynamics and Differential Equations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Evolution Equations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal of Mathematical Biology 3 Acta Mathematica 3 Annales Polonici Mathematici 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Ricerche di Matematica 3 Revista Matemática Iberoamericana 3 Asymptotic Analysis 3 Applications of Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Contemporary Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Analysis and Applications (Singapore) 3 Journal of Hyperbolic Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Science China. Mathematics 2 International Journal of Control 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Science in China. Series A 2 The Annals of Applied Probability 2 SIAM Review 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational and Applied Mathematics 2 Bulletin des Sciences Mathématiques 2 Integral Transforms and Special Functions 2 Complexity 2 Mathematical Problems in Engineering 2 Mathematical Physics, Analysis and Geometry 2 Revista Matemática Complutense 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics ...and 96 more Serials all top 5 Cited in 37 Fields 937 Partial differential equations (35-XX) 571 Fluid mechanics (76-XX) 64 Numerical analysis (65-XX) 37 Biology and other natural sciences (92-XX) 36 Dynamical systems and ergodic theory (37-XX) 31 Geophysics (86-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Ordinary differential equations (34-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Mechanics of deformable solids (74-XX) 18 Functional analysis (46-XX) 18 Systems theory; control (93-XX) 14 Real functions (26-XX) 14 Probability theory and stochastic processes (60-XX) 10 Integral equations (45-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year