# zbMATH — the first resource for mathematics

## Schonbek, Maria Elena

Compute Distance To:
 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)

#### 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 0602.76031
Schonbek, Maria Elena
1985
Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071
Schonbek, Maria E.
1986
Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058
Schonbek, Maria Elena
1982
Decay of solutions of some nonlinear wave equations. Zbl 0689.35081
Amick, C. J.; Bona, J. L.; Schonbek, M. E.
1989
Lower bounds of rates of decay for solutions to the Navier-Stokes equations. Zbl 0739.35070
Schonbek, Maria E.
1991
On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212
Chae, Dongho; Schonbek, Maria
2013
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015
Bona, J. L.; Schonbek, M. E.
1985
Decay of solutions to parabolic conservation laws. Zbl 0476.35012
Schonbek, Maria Elena
1980
On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086
Schonbek, Maria E.; Wiegner, Michael
1996
Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Zbl 0759.35036
Schonbek, Maria E.
1992
Large-time behaviour of solutions to the magneto-hydrodynamics equations. Zbl 0846.35018
Schonbek, M. E.; Schonbek, T. P.; Süli, Endre
1996
Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217
Brandolese, Lorenzo; Schonbek, Maria E.
2012
Large time behaviour of solution to the Navier-Stokes equations in $$H^ m$$ spaces. Zbl 0831.35132
Schonbek, Maria E.
1995
Existence of solutions for the Boussinesq system of equations. Zbl 0476.35067
Schonbek, Maria Elena
1981
Asymptotic behavior to dissipative quasi-geostrophic flows. Zbl 1126.76386
Schonbek, Maria E.; Schonbek, Tomas P.
2003
On optimal decay rates for weak solutions to the Navier-Stokes equations in $$\mathbb R^n$$. Zbl 0981.35048
Miyakawa, Tetsuro; Schonbek, Maria Elena
2001
Uniform decay rates for parabolic conservation laws. Zbl 0617.35060
Schonbek, Maria E.
1986
Asymptotic behavior of solutions to liquid crystal systems in $${\mathbb R}^3$$. Zbl 1294.76050
Dai, Mimi; Qing, Jie; Schonbek, Maria
2012
Decay of weak solutions to the 2D dissipative quasi-geostrophic equation. Zbl 1194.76040
Niche, César J.; Schonbek, María E.
2007
Non-uniform decay of MHD equations with and without magnetic diffusion. Zbl 1132.35073
Agapito, Rubén; Schonbek, Maria
2007
A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103
Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria
1988
Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows. Zbl 1091.35070
Schonbek, Maria; Schonbek, Tomas
2005
Decay characterization of solutions to dissipative equations. Zbl 1316.35038
Niche, C. J.; Schonbek, M. E.
2015
On questions of decay and existence for the viscous Camassa-Holm equations. Zbl 1156.35323
Bjorland, Clayton; Schonbek, Maria E.
2008
Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047
Bjorland, Clayton; Schonbek, Maria E.
2009
Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112
Cannone, Marco; Planchon, Fabrice; Schonbek, Maria
2000
On the boundedness and decay of moments of solutions to the Navier-Stokes equations. Zbl 1027.35095
Schonbek, Maria E.; Schonbek, Tomas P.
2000
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
2000
Asymptotic behavior of solutions to the liquid crystal system in $$H^m(\mathbb{R}^3)$$. Zbl 1307.76026
Dai, Mimi; Schonbek, Maria
2014
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
The Fourier splitting method. Zbl 0842.35142
Schonbek, Maria
1995
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064
Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E.
1997
$$L^p$$-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088
Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E.
2011
FitzHugh-Nagumo revisited: types of bifurcations, periodical forcing and stability regions by a Lyapunov functional. Zbl 1100.34031
Kostova, Tanya; Ravindran, Renuka; Schonbek, Maria
2004
Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system. Zbl 0983.35103
Miller, Judith R.; O’Leary, Mike; Schonbek, Maria
2001
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Boundary value problems for the Fitzhugh-Nagumo equations. Zbl 0407.35024
Schonbek, Maria Elena
1978
Existence and decay of polymeric flows. Zbl 1189.35263
Schonbek, Maria E.
2009
$$L^2$$-asymptotic stability of singular solutions to the Navier-Stokes system of equations in $$\mathbb R^3$$. Zbl 1368.35207
Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E.
2017
Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers system. Zbl 0836.35144
Schonbek, M. E.; Rajopadhye, S. V.
1995
Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122
Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E.
1994
Existence of solutions to singular conservation laws. Zbl 0567.35060
Schonbek, Maria Elena
1984
Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206
Han, Pigong; Schonbek, Maria E.
2014
Regularity of solutions to the liquid crystals systems in $$\mathbb R^2$$ and $$\mathbb R^3$$. Zbl 1252.76021
Dai, Mimi; Qing, Jie; Schonbek, Maria
2012
On zero mass solutions of viscous conservation laws. Zbl 1021.35016
Karch, Grzegorz; Schonbek, Maria Elena
2002
On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $$\mathbb R^N$$. Zbl 1367.35128
Schonbek, Maria; Shibata, Yoshihiro
2017
On the Oberbeck-Boussinesq approximation on unbounded domains. Zbl 1252.35227
Feireisl, Eduard; Schonbek, Maria E.
2012
On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126
Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E.
1999
Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations. Zbl 1360.35187
Niche, César J.; Schonbek, María E.
2016
Norm inflation for incompressible magneto-hydrodynamic system in $$\dot B^{-1,\infty}_\infty$$. Zbl 1357.76099
Dai, Mimi; Qing, Jie; Schonbek, Maria E.
2011
Existence and stability of steady-state solutions with finite energy for the Navier-Stokes equation in the whole space. Zbl 1172.35463
Bjorland, Clayton; Schonbek, Maria E.
2009
Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Zbl 0989.35069
Schonbek, Maria Elena; Süli, Endre
2001
Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067
Hishida, Toshiaki; Schonbek, Maria Elena
2016
Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces. Zbl 1184.35263
Schonbek, Maria E.
2006
Total variation decay of solutions to the Navier-Stokes equations. Zbl 1001.76023
Schonbek, Maria Elena
2000
Energy decay of solutions to the Boussinesq, primitive, and planetary geostrophic equations. Zbl 0938.35145
Schonbek, Maria; Vallis, Geoffrey K.
1999
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
2018
Long time behavior for a dissipative shallow water model. Zbl 1383.35174
Sciacca, Vincenzo; Schonbek, M. E.; Sammartino, Marco
2017
Decay rates for a class of diffusive-dominated interaction equations. Zbl 1248.35019
Cañizo, José A.; Carrillo, José A.; Schonbek, Maria E.
2012
Geodesic flows on diffeomorphisms of the circle, Grassmannians, and the geometry of the periodic KdV equation. Zbl 1003.37044
Schonbek, Maria E.; Todorov, Andrey N.; Zubelli, Jorge P.
1999
Second-order conservative schemes and the entropy condition. Zbl 0567.65064
Schonbek, Maria E.
1985
Some results on the FitzHugh-Nagumo equations. Zbl 0364.35029
Schonbek, M. E.
1977
Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103
Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P.
2020
Nonexistence of pseudo-self-similar solutions to incompressible Euler equations. Zbl 1265.35253
Schonbek, Maria
2011
Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459
Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M.
1999
Decay of non-oscillating solutions to the magneto-hydrodynamic equations. Zbl 0928.35136
Schonbek, M. E.
1998
A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations. Zbl 0475.35009
Schonbek, M. E.
1981
Singularities of certain finite energy solutions to the Navier-Stokes system. Zbl 1431.35103
Karch, Grzegorz; Schonbek, Maria E.; Schonbek, Tomas P.
2020
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
2018
Analysis of a diffuse interface model of multispecies tumor growth. Zbl 1367.35185
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2017
$$L^2$$-asymptotic stability of singular solutions to the Navier-Stokes system of equations in $$\mathbb R^3$$. Zbl 1368.35207
Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E.
2017
On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $$\mathbb R^N$$. Zbl 1367.35128
Schonbek, Maria; Shibata, Yoshihiro
2017
Long time behavior for a dissipative shallow water model. Zbl 1383.35174
Sciacca, Vincenzo; Schonbek, M. E.; Sammartino, Marco
2017
On asymptotic isotropy for a hydrodynamic model of liquid crystals. Zbl 1345.35073
Dai, Mimi; Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Schonbek, Maria E.
2016
Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations. Zbl 1360.35187
Niche, César J.; Schonbek, María E.
2016
Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067
Hishida, Toshiaki; Schonbek, Maria Elena
2016
Decay characterization of solutions to dissipative equations. Zbl 1316.35038
Niche, C. J.; Schonbek, M. E.
2015
Asymptotic behavior of solutions to the liquid crystal system in $$H^m(\mathbb{R}^3)$$. Zbl 1307.76026
Dai, Mimi; Schonbek, Maria
2014
Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206
Han, Pigong; Schonbek, Maria E.
2014
On the temporal decay for the Hall-magnetohydrodynamic equations. Zbl 1291.35212
Chae, Dongho; Schonbek, Maria
2013
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Large time decay and growth for solutions of a viscous Boussinesq system. Zbl 1368.35217
Brandolese, Lorenzo; Schonbek, Maria E.
2012
Asymptotic behavior of solutions to liquid crystal systems in $${\mathbb R}^3$$. Zbl 1294.76050
Dai, Mimi; Qing, Jie; Schonbek, Maria
2012
Regularity of solutions to the liquid crystals systems in $$\mathbb R^2$$ and $$\mathbb R^3$$. Zbl 1252.76021
Dai, Mimi; Qing, Jie; Schonbek, Maria
2012
On the Oberbeck-Boussinesq approximation on unbounded domains. Zbl 1252.35227
Feireisl, Eduard; Schonbek, Maria E.
2012
Decay rates for a class of diffusive-dominated interaction equations. Zbl 1248.35019
Cañizo, José A.; Carrillo, José A.; Schonbek, Maria E.
2012
$$L^p$$-solutions of the steady-state Navier-Stokes equations with rough external forces. Zbl 1284.76088
Bjorland, Clayton; Brandolese, Lorenzo; Iftimie, Dragoş; Schonbek, Maria E.
2011
Norm inflation for incompressible magneto-hydrodynamic system in $$\dot B^{-1,\infty}_\infty$$. Zbl 1357.76099
Dai, Mimi; Qing, Jie; Schonbek, Maria E.
2011
Nonexistence of pseudo-self-similar solutions to incompressible Euler equations. Zbl 1265.35253
Schonbek, Maria
2011
Poincaré’s inequality and diffusive evolution equations. Zbl 1169.35047
Bjorland, Clayton; Schonbek, Maria E.
2009
Existence and decay of polymeric flows. Zbl 1189.35263
Schonbek, Maria E.
2009
Existence and stability of steady-state solutions with finite energy for the Navier-Stokes equation in the whole space. Zbl 1172.35463
Bjorland, Clayton; Schonbek, Maria E.
2009
On questions of decay and existence for the viscous Camassa-Holm equations. Zbl 1156.35323
Bjorland, Clayton; Schonbek, Maria E.
2008
Decay of weak solutions to the 2D dissipative quasi-geostrophic equation. Zbl 1194.76040
Niche, César J.; Schonbek, María E.
2007
Non-uniform decay of MHD equations with and without magnetic diffusion. Zbl 1132.35073
Agapito, Rubén; Schonbek, Maria
2007
Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces. Zbl 1184.35263
Schonbek, Maria E.
2006
Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows. Zbl 1091.35070
Schonbek, Maria; Schonbek, Tomas
2005
FitzHugh-Nagumo revisited: types of bifurcations, periodical forcing and stability regions by a Lyapunov functional. Zbl 1100.34031
Kostova, Tanya; Ravindran, Renuka; Schonbek, Maria
2004
Asymptotic behavior to dissipative quasi-geostrophic flows. Zbl 1126.76386
Schonbek, Maria E.; Schonbek, Tomas P.
2003
On zero mass solutions of viscous conservation laws. Zbl 1021.35016
Karch, Grzegorz; Schonbek, Maria Elena
2002
On optimal decay rates for weak solutions to the Navier-Stokes equations in $$\mathbb R^n$$. Zbl 0981.35048
Miyakawa, Tetsuro; Schonbek, Maria Elena
2001
Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system. Zbl 0983.35103
Miller, Judith R.; O’Leary, Mike; Schonbek, Maria
2001
Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Zbl 0989.35069
Schonbek, Maria Elena; Süli, Endre
2001
Strong solutions to the incompressible Navier-Stokes equations in the half-space. Zbl 0965.35112
Cannone, Marco; Planchon, Fabrice; Schonbek, Maria
2000
On the boundedness and decay of moments of solutions to the Navier-Stokes equations. Zbl 1027.35095
Schonbek, Maria E.; Schonbek, Tomas P.
2000
Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations. Zbl 0986.35085
Amrouche, Cherif; Girault, Vivette; Schonbek, Maria Elena; Schonbek, Tomas P.
2000
Total variation decay of solutions to the Navier-Stokes equations. Zbl 1001.76023
Schonbek, Maria Elena
2000
On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126
Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E.
1999
Energy decay of solutions to the Boussinesq, primitive, and planetary geostrophic equations. Zbl 0938.35145
Schonbek, Maria; Vallis, Geoffrey K.
1999
Geodesic flows on diffeomorphisms of the circle, Grassmannians, and the geometry of the periodic KdV equation. Zbl 1003.37044
Schonbek, Maria E.; Todorov, Andrey N.; Zubelli, Jorge P.
1999
Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459
Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M.
1999
Decay of non-oscillating solutions to the magneto-hydrodynamic equations. Zbl 0928.35136
Schonbek, M. E.
1998
Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces. Zbl 0873.35064
Ogawa, Takayoshi; Rajopadhye, Shubha V.; Schonbek, Maria E.
1997
On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086
Schonbek, Maria E.; Wiegner, Michael
1996
Large-time behaviour of solutions to the magneto-hydrodynamics equations. Zbl 0846.35018
Schonbek, M. E.; Schonbek, T. P.; Süli, Endre
1996
Large time behaviour of solution to the Navier-Stokes equations in $$H^ m$$ spaces. Zbl 0831.35132
Schonbek, Maria E.
1995
The Fourier splitting method. Zbl 0842.35142
Schonbek, Maria
1995
Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers system. Zbl 0836.35144
Schonbek, M. E.; Rajopadhye, S. V.
1995
Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122
Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E.
1994
Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Zbl 0759.35036
Schonbek, Maria E.
1992
Lower bounds of rates of decay for solutions to the Navier-Stokes equations. Zbl 0739.35070
Schonbek, Maria E.
1991
Decay of solutions of some nonlinear wave equations. Zbl 0689.35081
Amick, C. J.; Bona, J. L.; Schonbek, M. E.
1989
A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103
Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria
1988
Large time behaviour of solutions to the Navier-Stokes equations. Zbl 0607.35071
Schonbek, Maria E.
1986
Uniform decay rates for parabolic conservation laws. Zbl 0617.35060
Schonbek, Maria E.
1986
$$L^ 2$$ decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
1985
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015
Bona, J. L.; Schonbek, M. E.
1985
Second-order conservative schemes and the entropy condition. Zbl 0567.65064
Schonbek, Maria E.
1985
Existence of solutions to singular conservation laws. Zbl 0567.35060
Schonbek, Maria Elena
1984
Convergence of solutions to nonlinear dispersive equations. Zbl 0496.35058
Schonbek, Maria Elena
1982
Existence of solutions for the Boussinesq system of equations. Zbl 0476.35067
Schonbek, Maria Elena
1981
A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations. Zbl 0475.35009
Schonbek, M. E.
1981
Decay of solutions to parabolic conservation laws. Zbl 0476.35012
Schonbek, Maria Elena
1980
Boundary value problems for the Fitzhugh-Nagumo equations. Zbl 0407.35024
Schonbek, Maria Elena
1978
Some results on the FitzHugh-Nagumo equations. Zbl 0364.35029
Schonbek, M. E.
1977
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)