## Hoff, David

Compute Distance To:
 Author ID: hoff.david Published as: Hoff, David; Hoff, D. Homepage: https://math.indiana.edu/about/emeriti/hoff-david.html External Links: MGP
 Documents Indexed: 77 Publications since 1977, including 1 Book Co-Authors: 21 Co-Authors with 39 Joint Publications 474 Co-Co-Authors
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### Co-Authors

 36 single-authored 7 Smoller, Joel Alan 4 Chen, Gui-Qiang G. 4 Trivisa, Konstantina 4 Zumbrun, Kevin R. 3 Tsyganov, Eugene N. 3 Ziane, Mohammed 2 Jenssen, Helge Kristian 2 Liu, Tai-Ping 2 Perepelitsa, Misha 2 Serre, Denis 2 Zarnowski, Roger E. 1 Chadam, John M. 1 Conway, Edward Daire 1 DiBenedetto, Emmanuele 1 Johnson, Charles Royal 1 Khodja, Mohamed R. 1 Lucier, Bradley J. 1 Nasserasr, Shahla 1 Ortoleva, Peter J. 1 Santos, Marcelo M. 1 Suen, Anthony 1 Youngs, Matthias 1 Zhao, Jennifer Jing
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### Serials

 10 Journal of Differential Equations 8 Archive for Rational Mechanics and Analysis 5 Indiana University Mathematics Journal 5 Transactions of the American Mathematical Society 5 SIAM Journal on Mathematical Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Numerical Analysis 3 Mathematics of Computation 3 SIAM Journal on Applied Mathematics 2 Communications in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematical Fluid Mechanics 1 Mathematical Surveys and Monographs
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### Fields

 69 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

63 Publications have been cited 2,066 times in 1,226 Documents Cited by Year
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data. Zbl 0836.35120
Hoff, David
1995
Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow. Zbl 0842.35076
Hoff, David; Zumbrun, Kevin
1995
Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035
Conway, Edward; Hoff, David; Smoller, Joel
1978
Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data. Zbl 0836.76082
Hoff, David
1995
Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids. Zbl 0904.76074
Hoff, David
1997
Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves. Zbl 0882.76074
Hoff, David; Zumbrun, Kevin
1997
Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data. Zbl 0656.76064
Hoff, David
1987
The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow. Zbl 0741.35057
Hoff, David; Serre, Denis
1991
Compressible flow in a half-space with Navier boundary conditions. Zbl 1095.35025
Hoff, David
2005
Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions. Zbl 1020.76046
Hoff, David
2002
The inviscid limit for the Navier-Stokes equations of compressible, isentropic flow with shock data. Zbl 0674.76047
Hoff, David; Liu, Tai-Ping
1989
Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data. Zbl 0977.35104
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2000
Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data. Zbl 0765.35033
Hoff, David
1992
Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics. Zbl 1077.35071
Hoff, David; Tsyganov, Eugene
2005
Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081
Hoff, David; Smoller, Joel
2001
The zero-Mach limit of compressible flows. Zbl 0907.35098
Hoff, David
1998
Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044
Hoff, David; Smoller, Joel
1985
Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states. Zbl 0913.35031
Hoff, David
1998
Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data. Zbl 0762.35085
Hoff, David
1992
Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data. Zbl 1022.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2003
Invariant regions for systems of conservation laws. Zbl 0535.35056
Hoff, David
1985
Stability and convergence of finite difference methods for systems of nonlinear reaction-diffusion equations. Zbl 0411.76062
Hoff, David
1978
Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics. Zbl 1284.76414
Suen, Anthony; Hoff, David
2012
Uniqueness of weak solutions of the Navier–Stokes equations of multidimensional, compressible flow. Zbl 1100.76052
Hoff, David
2006
Asymptotic behavior of multidimensional scalar viscous shock fronts. Zbl 0967.76049
Hoff, David; Zumbrun, Kevin
2000
Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data. Zbl 0635.35074
Hoff, David
1986
Symmetric nonbarotropic flows with large data and forces. Zbl 1060.76099
Hoff, David; Jenssen, Helge Kristian
2004
Lagrangian structure and propagation of singularities in multidimensional compressible flow. Zbl 1144.76049
Hoff, David; Santos, Marcelo M.
2008
Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044
Hoff, David; Smoller, Joel
1987
Discontinuous solutions of the Navier-Stokes equations for compressible flow. Zbl 0732.35071
Hoff, David
1991
Reactive infiltration instabilities. Zbl 0619.76116
Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A.
1986
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
1984
The sharp form of Oleinik’s entropy condition in several space variables. Zbl 0528.35062
Hoff, David
1983
Pointwise Green’s function bounds for multidimensional scalar viscous shock fronts. Zbl 1028.35108
Hoff, David; Zumbrun, Kevin
2002
On the Navier-Stokes equations for exothermically reacting compressible fluids. Zbl 1032.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2002
Time analyticity and backward uniqueness of weak solutions of the Navier-Stokes equations of multidimensional compressible flow. Zbl 1387.35454
Hoff, David; Tsyganov, Eugene
2008
The global attractor and finite determining nodes for the Navier-Stokes equations of compressible flow with singular initial data. Zbl 0977.35105
Hoff, David; Ziane, Mohammed
2000
Globally smooth solutions of quasilinear hyperbolic systems in diagonal form. Zbl 0488.35057
Hoff, David
1982
A finite-difference scheme for the Navier-Stokes equations of one- dimensional, isentropic, compressible flow. Zbl 0727.76094
Zarnowski, Roger; Hoff, David
1991
Local solutions of a compressible flow problem with Navier boundary conditions in general three-dimensional domains. Zbl 1246.35149
Hoff, David
2012
A finite difference scheme for a system of two conservation laws with artificial viscosity. Zbl 0447.65056
Hoff, David
1979
Attracteurs compacts pour les équations de Navier-Stokes d’un fluide compressible monodimensionel. (Compact attractors for the Navier-Stokes equations of one-dimensional, compresible flow.) Zbl 0926.35113
Hoff, David; Ziane, Mohammed
1999
Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096
Hoff, David; Smoller, Joel
1985
Stability of coexisting phases for compressible van der Waals fluids. Zbl 0787.35065
Hoff, David; Khodja, M.
1993
Continuous dependence on initial data for discontinuous solutions of the Navier-Stokes equations for one-dimensional, compressible flow. Zbl 0860.35094
Hoff, David
1996
Existence of solutions to a model for sparse, one-dimensional fluids. Zbl 1214.35045
Hoff, David
2011
Continuous dependence in $$L^ 2$$ for discontinuous solutions of the viscous $$p$$-system. Zbl 0836.35157
Hoff, David; Zarnowski, Roger
1994
A constructive theory for shock-free, isentropic flow. Zbl 0416.76015
Hoff, David
1980
A linearly implicit finite-difference scheme for the one-dimensional porous medium equation. Zbl 0603.76096
Hoff, David
1985
A convergent finite-difference scheme for the Navier-Stokes equations of one-dimensional, nonisentropic, compressible flow. Zbl 0810.76060
Zhao, Jing; Hoff, David
1994
Locally Lipschitz solutions of a single conservation law in several space variables. Zbl 0443.34005
Hoff, David
1981
Systems of partial differential equations of mixed hyperbolic-parabolic type. Zbl 1055.35007
Tsyganov, Eugene; Hoff, David
2004
Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096
Hoff, David; Smoller, Joel
1985
A characterization of the blow-up time for the solution of a conservation law in several space variables. Zbl 0501.35054
Hoff, David
1982
On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations. Zbl 0532.35049
Hoff, David
1983
Instantaneous boundary tangency and cusp formation in two-dimensional fluid flow. Zbl 1197.35070
Hoff, David; Perepelitsa, Misha
2009
Convergence and error bound analysis of a finite difference scheme for the one-dimensional Navier-Stokes equations. Zbl 0890.76055
Zhao, Jennifer Jing; Hoff, David
1997
Asymptotic behavior of solutions to a model for the flow of a reacting fluid. Zbl 1193.35154
Hoff, David
2010
Totally positive shapes and $$TP_{k}$$-completable patterns. Zbl 1242.15023
Hoff, D.; Johnson, C. R.; Nasserasr, S.
2012
A scheme for computing solutions and interface curves for a doubly- degenerate parabolic equation. Zbl 0613.65090
Hoff, David
1985
Boundary tangency for density interfaces in compressible viscous fluid flows. Zbl 1364.35272
Hoff, David; Perepelitsa, Misha
2012
Approximation and decay of solutions of systems of nonlinear diffusion equations. Zbl 0379.35037
Hoff, David
1977
Finite-dimensional attractors and exponential attractors for the Navier-Stokes equations of compressible flow. Zbl 1044.35054
Hoff, David; Ziane, Mohammed
2003
Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics. Zbl 1284.76414
Suen, Anthony; Hoff, David
2012
Local solutions of a compressible flow problem with Navier boundary conditions in general three-dimensional domains. Zbl 1246.35149
Hoff, David
2012
Totally positive shapes and $$TP_{k}$$-completable patterns. Zbl 1242.15023
Hoff, D.; Johnson, C. R.; Nasserasr, S.
2012
Boundary tangency for density interfaces in compressible viscous fluid flows. Zbl 1364.35272
Hoff, David; Perepelitsa, Misha
2012
Existence of solutions to a model for sparse, one-dimensional fluids. Zbl 1214.35045
Hoff, David
2011
Asymptotic behavior of solutions to a model for the flow of a reacting fluid. Zbl 1193.35154
Hoff, David
2010
Instantaneous boundary tangency and cusp formation in two-dimensional fluid flow. Zbl 1197.35070
Hoff, David; Perepelitsa, Misha
2009
Lagrangian structure and propagation of singularities in multidimensional compressible flow. Zbl 1144.76049
Hoff, David; Santos, Marcelo M.
2008
Time analyticity and backward uniqueness of weak solutions of the Navier-Stokes equations of multidimensional compressible flow. Zbl 1387.35454
Hoff, David; Tsyganov, Eugene
2008
Uniqueness of weak solutions of the Navier–Stokes equations of multidimensional, compressible flow. Zbl 1100.76052
Hoff, David
2006
Compressible flow in a half-space with Navier boundary conditions. Zbl 1095.35025
Hoff, David
2005
Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics. Zbl 1077.35071
Hoff, David; Tsyganov, Eugene
2005
Symmetric nonbarotropic flows with large data and forces. Zbl 1060.76099
Hoff, David; Jenssen, Helge Kristian
2004
Systems of partial differential equations of mixed hyperbolic-parabolic type. Zbl 1055.35007
Tsyganov, Eugene; Hoff, David
2004
Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data. Zbl 1022.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2003
Finite-dimensional attractors and exponential attractors for the Navier-Stokes equations of compressible flow. Zbl 1044.35054
Hoff, David; Ziane, Mohammed
2003
Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions. Zbl 1020.76046
Hoff, David
2002
Pointwise Green’s function bounds for multidimensional scalar viscous shock fronts. Zbl 1028.35108
Hoff, David; Zumbrun, Kevin
2002
On the Navier-Stokes equations for exothermically reacting compressible fluids. Zbl 1032.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2002
Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081
Hoff, David; Smoller, Joel
2001
Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data. Zbl 0977.35104
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2000
Asymptotic behavior of multidimensional scalar viscous shock fronts. Zbl 0967.76049
Hoff, David; Zumbrun, Kevin
2000
The global attractor and finite determining nodes for the Navier-Stokes equations of compressible flow with singular initial data. Zbl 0977.35105
Hoff, David; Ziane, Mohammed
2000
Attracteurs compacts pour les équations de Navier-Stokes d’un fluide compressible monodimensionel. (Compact attractors for the Navier-Stokes equations of one-dimensional, compresible flow.) Zbl 0926.35113
Hoff, David; Ziane, Mohammed
1999
The zero-Mach limit of compressible flows. Zbl 0907.35098
Hoff, David
1998
Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states. Zbl 0913.35031
Hoff, David
1998
Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids. Zbl 0904.76074
Hoff, David
1997
Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves. Zbl 0882.76074
Hoff, David; Zumbrun, Kevin
1997
Convergence and error bound analysis of a finite difference scheme for the one-dimensional Navier-Stokes equations. Zbl 0890.76055
Zhao, Jennifer Jing; Hoff, David
1997
Continuous dependence on initial data for discontinuous solutions of the Navier-Stokes equations for one-dimensional, compressible flow. Zbl 0860.35094
Hoff, David
1996
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data. Zbl 0836.35120
Hoff, David
1995
Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow. Zbl 0842.35076
Hoff, David; Zumbrun, Kevin
1995
Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data. Zbl 0836.76082
Hoff, David
1995
Continuous dependence in $$L^ 2$$ for discontinuous solutions of the viscous $$p$$-system. Zbl 0836.35157
Hoff, David; Zarnowski, Roger
1994
A convergent finite-difference scheme for the Navier-Stokes equations of one-dimensional, nonisentropic, compressible flow. Zbl 0810.76060
Zhao, Jing; Hoff, David
1994
Stability of coexisting phases for compressible van der Waals fluids. Zbl 0787.35065
Hoff, David; Khodja, M.
1993
Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data. Zbl 0765.35033
Hoff, David
1992
Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data. Zbl 0762.35085
Hoff, David
1992
The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow. Zbl 0741.35057
Hoff, David; Serre, Denis
1991
Discontinuous solutions of the Navier-Stokes equations for compressible flow. Zbl 0732.35071
Hoff, David
1991
A finite-difference scheme for the Navier-Stokes equations of one- dimensional, isentropic, compressible flow. Zbl 0727.76094
Zarnowski, Roger; Hoff, David
1991
The inviscid limit for the Navier-Stokes equations of compressible, isentropic flow with shock data. Zbl 0674.76047
Hoff, David; Liu, Tai-Ping
1989
Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data. Zbl 0656.76064
Hoff, David
1987
Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044
Hoff, David; Smoller, Joel
1987
Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data. Zbl 0635.35074
Hoff, David
1986
Reactive infiltration instabilities. Zbl 0619.76116
Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A.
1986
Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044
Hoff, David; Smoller, Joel
1985
Invariant regions for systems of conservation laws. Zbl 0535.35056
Hoff, David
1985
Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096
Hoff, David; Smoller, Joel
1985
A linearly implicit finite-difference scheme for the one-dimensional porous medium equation. Zbl 0603.76096
Hoff, David
1985
Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096
Hoff, David; Smoller, Joel
1985
A scheme for computing solutions and interface curves for a doubly- degenerate parabolic equation. Zbl 0613.65090
Hoff, David
1985
An interface tracking algorithm for the porous medium equation. Zbl 0564.76090
DiBenedetto, E.; Hoff, David
1984
The sharp form of Oleinik’s entropy condition in several space variables. Zbl 0528.35062
Hoff, David
1983
On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations. Zbl 0532.35049
Hoff, David
1983
Globally smooth solutions of quasilinear hyperbolic systems in diagonal form. Zbl 0488.35057
Hoff, David
1982
A characterization of the blow-up time for the solution of a conservation law in several space variables. Zbl 0501.35054
Hoff, David
1982
Locally Lipschitz solutions of a single conservation law in several space variables. Zbl 0443.34005
Hoff, David
1981
A constructive theory for shock-free, isentropic flow. Zbl 0416.76015
Hoff, David
1980
A finite difference scheme for a system of two conservation laws with artificial viscosity. Zbl 0447.65056
Hoff, David
1979
Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035
Conway, Edward; Hoff, David; Smoller, Joel
1978
Stability and convergence of finite difference methods for systems of nonlinear reaction-diffusion equations. Zbl 0411.76062
Hoff, David
1978
Approximation and decay of solutions of systems of nonlinear diffusion equations. Zbl 0379.35037
Hoff, David
1977
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### Cited by 1,086 Authors

 37 Zhu, Changjiang 26 Xin, Zhouping 25 Zhao, Huijiang 23 Tan, Zhong 22 Feireisl, Eduard 22 Hoff, David 21 Yao, Zhengan 21 Zumbrun, Kevin R. 18 Jiang, Song 18 Qin, Yuming 18 Wang, Weike 18 Yang, Tong 17 Huang, Xiangdi 17 Zhang, Ting 16 Guo, Zhenhua 16 Wen, Huanyao 16 Xu, Jiang 16 Yao, Lei 15 Chen, Gui-Qiang G. 15 Li, Jing 15 Wang, Dehua 14 Zhang, Jianwen 13 Danchin, Raphaël 13 Fan, Jishan 13 Fang, Daoyuan 13 Huang, Lan 13 Vasseur, Alexis F. 12 Li, Hailiang 12 Novotný, Antonín 12 Ou, Yaobin 12 Wang, Yi 11 Guo, Boling 11 Mucha, Piotr Bogusław 10 Ducomet, Bernard 10 Guermond, Jean-Luc 10 Li, Fucai 10 Peng, Hongyun 10 Popov, Boyan 10 Suen, Anthony 10 Sun, Yongzhong 10 Wang, Wenjun 9 Howard, Peter 9 Jiu, Quansen 9 Kagei, Yoshiyuki 9 Nečasová, Šárka 9 Zhao, Junning 8 Haspot, Boris 8 Kweon, Jae Ryong 8 Li, Yeping 8 Li, Zilai 8 Lian, Ruxu 8 Wu, Zhigang 8 Zhang, Yinghui 8 Zhong, Xin 8 Zi, Ruizhao 7 Frid, Hermano 7 Hou, Xiaofeng 7 Hu, Xianpeng 7 Hu, Yuxi 7 Ju, Qiangchang 7 Kawashima, Shuichi 7 Mimura, Masayasu 7 Pan, Ronghua 7 Serre, Denis 7 Trivisa, Konstantina 7 Ukai, Seiji 7 Wang, Yuzhu 7 Wu, Guochun 7 Zatorska, Ewelina 7 Zhang, Zhifei 7 Zhu, Shengguo 6 Ding, Shijin 6 Dou, Changsheng 6 Duan, Qin 6 Duan, Renjun 6 Huang, Feimin 6 Liang, Zhilei 6 Lü, Boqiang 6 Petzeltová, Hana 6 Qin, Xulong 6 Simsen, Jacson 6 Wang, Yuanming 6 Zhai, Xiaoping 6 Zhang, Jianlin 6 Zhang, Peixin 5 Bresch, Didier 5 Chadam, John M. 5 Colombo, Rinaldo M. 5 Cui, Haibo 5 Hong, GuangYi 5 Jiang, Fei 5 Kang, Moon-Jin 5 Li, Jinkai 5 Liu, Shengquan 5 Liu, Tai-Ping 5 Lyng, Gregory Daniel 5 Ma, Shixiang 5 Perepelitsa, Misha 5 Racke, Reinhard 5 Shi, Weixuan ...and 986 more Authors
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### Cited in 178 Serials

 187 Journal of Differential Equations 79 Journal of Mathematical Analysis and Applications 68 Archive for Rational Mechanics and Analysis 44 ZAMP. Zeitschrift für angewandte Mathematik und Physik 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Mathematical Fluid Mechanics 30 Journal of Mathematical Physics 30 Discrete and Continuous Dynamical Systems 27 SIAM Journal on Mathematical Analysis 26 Mathematical Methods in the Applied Sciences 26 Nonlinear Analysis. Real World Applications 22 Communications in Partial Differential Equations 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Communications in Mathematical Physics 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Boundary Value Problems 18 Journal of Hyperbolic Differential Equations 18 Science China. Mathematics 17 Applicable Analysis 16 Journal of Dynamics and Differential Equations 15 Acta Applicandae Mathematicae 12 Computers & Mathematics with Applications 12 Chinese Annals of Mathematics. Series B 12 Acta Mathematicae Applicatae Sinica. English Series 12 Applied Mathematics Letters 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Communications on Pure and Applied Analysis 11 Journal of Mathematical Biology 10 Physica D 10 Nonlinear Analysis. Theory, Methods & Applications 9 Applied Mathematics and Computation 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Acta Mathematica Sinica. English Series 9 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Computational Physics 7 Communications on Pure and Applied Mathematics 7 Nonlinearity 7 Numerische Mathematik 7 Transactions of the American Mathematical Society 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Computational and Applied Mathematics 6 Journal of Functional Analysis 6 Quarterly of Applied Mathematics 6 Journal of Evolution Equations 6 Kinetic and Related Models 5 Mathematics of Computation 5 Bulletin of Mathematical Biology 5 Advances in Mathematics 5 Indiana University Mathematics Journal 5 SIAM Journal on Numerical Analysis 5 Mathematical and Computer Modelling 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Fluid Mechanics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 SIAM Journal on Applied Mathematics 4 Communications in Contemporary Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Analysis and Applications (Singapore) 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Biosciences 3 Rocky Mountain Journal of Mathematics 3 Annales de l’Institut Fourier 3 Automatica 3 Calcolo 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Osaka Journal of Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Numerical Mathematics 3 Japan Journal of Applied Mathematics 3 Applications of Mathematics 3 Journal of Nonlinear Science 3 SIAM Journal on Scientific Computing 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Differential Equations 3 Frontiers of Mathematics in China 2 Applied Mathematics and Optimization 2 Studies in Applied Mathematics 2 Advances in Applied Mathematics 2 Systems & Control Letters 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 NoDEA. Nonlinear Differential Equations and Applications 2 Opuscula Mathematica 2 Abstract and Applied Analysis 2 Computational Geosciences 2 Journal of Applied Mathematics 2 Central European Journal of Mathematics 2 Advances in Difference Equations 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Evolution Equations and Control Theory 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 1 Acta Mechanica 1 International Journal for Numerical and Analytical Methods in Geomechanics ...and 78 more Serials
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### Cited in 36 Fields

 1,132 Partial differential equations (35-XX) 795 Fluid mechanics (76-XX) 103 Numerical analysis (65-XX) 98 Biology and other natural sciences (92-XX) 70 Classical thermodynamics, heat transfer (80-XX) 29 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Mechanics of deformable solids (74-XX) 18 Statistical mechanics, structure of matter (82-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Optics, electromagnetic theory (78-XX) 11 Operator theory (47-XX) 10 Astronomy and astrophysics (85-XX) 10 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Geophysics (86-XX) 8 Systems theory; control (93-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)