## Slemrod, Marshall

Compute Distance To:
 Author ID: slemrod.marshall Published as: Slemrod, Marshall; Slemrod, M.
 Documents Indexed: 147 Publications since 1970 5 Contributions as Editor Reviewing Activity: 17 Reviews Biographic References: 7 Publications Co-Authors: 57 Co-Authors with 76 Joint Publications 1,947 Co-Co-Authors
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### Co-Authors

 75 single-authored 13 Chen, Gui-Qiang G. 12 Wang, Dehua 10 Ha, Seung-Yeal 6 Artstein, Zvi 4 Ball, John MacLeod 4 Jin, Shi 4 Roytburd, Victor 4 Tzavaras, Athanasios E. 3 Dafermos, Constantine M. 3 Feldman, Mikhail 3 Kim, Yong Jung 2 Acharya, Amit 2 Carr, Jack 2 Christoforou, Cleopatra C. 2 Fan, Haitao 2 Gurtin, Morton Edward 2 Infante, Ettore F. 2 Jung, Sungeun 2 Kevrekidis, Ioannis George 2 Kinderlehrer, David 2 Li, Siran 2 Marsden, Jerrold Eldon 2 Titi, Edriss Saleh 1 Biscari, Paolo 1 Cercignani, Carlo 1 Choi, Young-Pil 1 Chung, Jaywan 1 Clelland, Jeanne Nielsen 1 Ericksen, Jerald Laverne 1 Fosdick, Roger L. 1 Gear, Charles William 1 Gouin, Henri 1 Hagan, R. 1 Hale, Jack Kenneth 1 Hunter, John K. 1 Illner, Reinhard 1 LaSalle, Joseph Pierre 1 Lattanzio, Corrado 1 Lee, Min Gi 1 Li, Zhuchun 1 Liu, Hailiang 1 Lunasin, Evelyn M. 1 Malek-Madani, Reza 1 McLaughlin, Joyce Rogers 1 Mussel, Matan 1 Pareschi, Lorenzo 1 Podio-Guidugli, Paulo 1 Qi, Anmin 1 Rascle, Michel 1 Rogers, Edwin L. 1 Rubino, Bruno 1 Segel, Lee Aaron 1 Serre, Denis 1 Sternberg, Natalia 1 Ukai, Seiji 1 Xue, Xiaoping 1 Yang, Deane
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### Serials

 18 Archive for Rational Mechanics and Analysis 10 Quarterly of Applied Mathematics 9 Journal of Differential Equations 5 Physica D 4 Journal of Mathematical Analysis and Applications 4 Indiana University Mathematics Journal 4 Bulletin of the American Mathematical Society. New Series 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Applied Mathematics and Optimization 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Nonlinearity 2 Transport Theory and Statistical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 2 SIAM Journal on Control and Optimization 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 The IMA Volumes in Mathematics and its Applications 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physics of Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Le Matematiche 1 Meccanica 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Methods and Applications of Analysis 1 The Asian Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis in Theory and Applications 1 Journal of Hyperbolic Differential Equations 1 Bulletin of the American Mathematical Society 1 SIAM Journal on Control 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Physics 1 Mathematical Modelling of Natural Phenomena 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 78 Fluid mechanics (76-XX) 65 Partial differential equations (35-XX) 36 Statistical mechanics, structure of matter (82-XX) 21 Ordinary differential equations (34-XX) 19 Mechanics of deformable solids (74-XX) 16 Differential geometry (53-XX) 16 Systems theory; control (93-XX) 8 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 6 Biology and other natural sciences (92-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

118 Publications have been cited 2,095 times in 1,640 Documents Cited by Year
The quasi-steady-state assumption: A case study in perturbation. Zbl 0679.34066
Segel, Lee A.; Slemrod, Marshall
1989
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
Asymptotic behavior of nonlinear contraction semigroups. Zbl 0267.34062
Dafermos, C. M.; Slemrod, M.
1973
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1984
Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity. Zbl 0481.73009
Slemrod, M.
1981
Controllability for distributed bilinear systems. Zbl 0485.93015
Ball, J. M.; Marsden, J. E.; Slemrod, M.
1982
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030
Ball, J. M.; Slemrod, M.
1979
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control. Zbl 0676.93057
Slemrod, Marshall
1989
Dynamic phase transitions in a van der Waals fluid. Zbl 0487.76006
Slemrod, M.
1984
A limiting “viscosity” approach to the Riemann problem for materials exhibiting change of phase. Zbl 0701.35101
Slemrod, M.
1989
The viscosity-capillarity criterion for shocks and phase transitions. Zbl 0531.76069
Hagan, R.; Slemrod, M.
1983
Stabilization of bilinear control systems with applications to nonconservative problems in elasticity. Zbl 0388.93037
Slemrod, Marshall
1978
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041
Ball, J. M.; Slemrod, M.
1979
A note on complete controllability and stabilizability for linear control systems in Hilbert space. Zbl 0254.93006
Slemrod, Marshall
1974
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
2001
Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping. Zbl 0699.35023
Slemrod, M.
1989
Asymptotic stability criteria for linear systems of difference- differential equations of neutral type and their discrete analogues. Zbl 0202.10301
Slemrod, Marshall; Infante, E. F.
1972
Regularization of the Burnett equations via relaxation. Zbl 1019.82018
Jin, Shi; Slemrod, Marshall
2001
Dynamics of measured valued solutions to a backward-forward heat equation. Zbl 0747.35013
Slemrod, M.
1991
A hereditary partial differential equation with applications in the theory of simple fluids. Zbl 0362.76019
Slemrod, Marshall
1976
Flocking and synchronization of particle models. Zbl 1211.92068
Ha, Seung-Yeal; Lattanzio, Corrado; Rubino, Bruno; Slemrod, Marshall
2011
Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system. Zbl 1207.34071
Ha, Seung-Yeal; Slemrod, Marshall
2010
Instability of steady shearing flows in a non-linear viscoelastic fluid. Zbl 0393.76004
Slemrod, M.
1978
Theory of a general class of dissipative processes. Zbl 0238.34098
Hale, J. K.; LaSalle, J. P.; Slemrod, Marshall
1972
Trend to equilibrium in the Becker-Doering cluster equations. Zbl 0709.60528
Slemrod, M.
1989
Isometric immersions and compensated compactness. Zbl 1208.53006
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Asymptotic behavior of a class of abstract dynamical systems. Zbl 0275.93023
Slemrod, Marshall
1970
Vanishing viscosity method for transonic flow. Zbl 1140.76014
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2008
A limiting viscosity approach for the Riemann problem in isentropic gas dynamics. Zbl 0675.76073
Slemrod, Marshall; Tzavaras, Athanasios E.
1989
Slow observables of singularly perturbed differential equations. Zbl 1140.34025
Artstein, Zvi; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2007
Stabilization of boundary control systems. Zbl 0304.93022
Slemrod, Marshall
1976
Nonexistence of oscillations in a nonlinear distributed network. Zbl 0217.29103
Slemrod, M.
1971
Dynamic flows with liquid/vapor phase transitions. Zbl 1036.76059
Fan, Haitao; Slemrod, Marshall
2002
A fast-slow dynamical systems theory for the Kuramoto type phase model. Zbl 1252.34060
Ha, Seung-Yeal; Slemrod, Marshall
2011
From Boltzmann to Euler: Hilbert’s 6th problem revisited. Zbl 1382.76215
Slemrod, M.
2013
Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations. Zbl 0732.35103
Slemrod, M.
1990
Global existence of plasma ion-sheaths and their dynamics. Zbl 1055.35085
Ha, Seung-Yeal; Slemrod, Marshall
2003
One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1985
An energy stability method for simple fluids. Zbl 0417.76005
Slemrod, Marshall
1978
Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit. Zbl 1322.92087
Ha, Seung-Yeal; Li, Zhuchun; Slemrod, Marshall; Xue, Xiaoping
2014
The linear stabilization problem in Hilbert space. Zbl 0246.93031
Slemrod, Marshall
1972
Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit. Zbl 0866.76075
Slemrod, M.
1996
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Constitutive relations for monatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion. Zbl 0946.76087
Slemrod, Marshall
1999
KdV dynamics in the plasma-sheath transition. Zbl 1060.76137
Liu, Hailiang; Slemrod, M.
2004
An invariance principle for dynamical systems on Banach space: Application to the general problem of thermoelastic stability. Zbl 0236.73066
Slemrod, M.; Infante, E. F.
1971
A geometric level-set formulation of a plasma-sheath interface. Zbl 1076.76078
Feldman, Mikhail; Ha, Seung-Yeal; Slemrod, Marshall
2005
Trajectories joining critical points. Zbl 0509.58041
Artstein, Zvi; Slemrod, Marshall
1982
Viscoelastic fluid flow exhibiting hysteretic phase changes. Zbl 0529.76009
Hunter, J. K.; Slemrod, M.
1983
Regularization of the Burnett equations for rapid granular flows via relaxation. Zbl 1037.76061
Jin, Shi; Slemrod, Marshall
2001
Self-similar fluid-dynamic limits for the Broadwell system. Zbl 0801.76002
Slemrod, Marshall; Tzavaras, Athanasios E.
1993
Chapman-Enskog $$\Rightarrow$$ viscosity-capillarity. Zbl 1247.35135
Slemrod, Marshall
2012
Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding. Zbl 1194.53047
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Asymptotic behavior of $$C_0$$ semigroups determined by the spectrum of the generator. Zbl 0313.47026
Slemrod, Marshall
1976
An application of maximal dissipative sets in control theory. Zbl 0278.93019
Slemrod, Marshall
1974
Admissibility of weak solutions for the compressible Euler equations, $$n\geq 2$$. Zbl 1292.35221
Slemrod, Marshall
2013
The Becker-Döring equations. Zbl 0981.76096
Slemrod, Marshall
2000
On singularly perturbed retarded functional differential equations. Zbl 0987.34070
Artstein, Zvi; Slemrod, Marshall
2001
The Riemann problem for systems of conservation laws of mixed type. Zbl 0807.76031
Fan, Haitao; Slemrod, Marshall
1993
Asymptotic behavior of $$C_0$$ semigroups determined by the spectrum of the generator. Zbl 0326.47044
Slemrod, Marshall
1976
Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063
Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2011
Constitutive relations for Rivlin-Ericksen fluids based on generalized rational approximation. Zbl 0959.76004
Slemrod, M.
1999
Dynamics of first order phase transitions. Zbl 0603.76002
Slemrod, M.
1984
Damped conservation laws in continuum mechanics. Zbl 0399.73034
Slemrod, M.
1979
Fast-slow dynamics of planar particle models for flocking and swarming. Zbl 1243.34065
Ha, Seung-Yeal; Jung, Sungeun; Slemrod, Marshall
2012
The radio-frequency driven plasma sheath: asymptotics and analysis. Zbl 1037.76072
Slemrod, M.
2003
Shadowing and the plasma-sheath transition layer. Zbl 1001.76125
Slemrod, M.
2001
Monotone increasing solutions of the Painlevé 1 equation $$y''=y^2+x$$ and their role in the stability of the plasma-sheath transition. Zbl 1027.34044
Slemrod, M.
2002
The problem with Hilbert’s 6th problem. Zbl 1325.35133
Slemrod, M.
2015
Time-averaged coarse variables for multi-scale dynamics. Zbl 1273.34065
Slemrod, Marshall; Acharya, Amit
2012
Scanning control of a vibrating string. Zbl 0604.93044
McLaughlin, J. R.; Slemrod, M.
1986
Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations. Zbl 0605.76078
Slemrod, M.; Marsden, J. E.
1985
Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory. Zbl 1312.35154
Kim, Yong-Jung; Lee, Min-Gi; Slemrod, Marshall
2015
Special issue devoted to the proceedings of the 5th international workshop on Mathematical aspects of fluid and plasma dynamics, MAFPD-5. Maui, HI, USA, June 28–July 3, 1998. Zbl 0967.00085
2000
Metastable fluid flow described via a discrete-velocity coagulation-fragmentation model. Zbl 1081.82621
Slemrod, M.
1996
Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data. Zbl 1332.53005
Christoforou, Cleopatra; Slemrod, Marshall
2015
Asymptotic behavior of periodic dynamical systems on Banach spaces. Zbl 0205.43105
Slemrod, M.
1970
A note on the kinetic equations of coagulation. Zbl 0766.34010
Slemrod, M.
1991
A fluid dynamic formulation of the isometric embedding problem in differential geometry. Zbl 1187.35135
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Renormalization of the Chapman-Enskog expansion: Isothermal fluid flow and Rosenau saturation. Zbl 0917.76079
Slemrod, M.
1998
Fluids, elasticity, geometry, and the existence of wrinkled solutions. Zbl 1382.35203
Acharya, Amit; Chen, Gui-Qiang G.; Li, Siran; Slemrod, Marshall; Wang, Dehua
2017
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
A discrete velocity coagulation-fragmentation model. Zbl 0834.76080
Slemrod, M.; Qi, A.; Grinfeld, M.; Stewart, I.
1995
A comparison of two viscous regularizations of the Riemann problem for Burgers’ equation. Zbl 0854.35068
Slemrod, M.
1995
Stability of spherical isothermal liquid-vapor interfaces. Zbl 0837.76030
Gouin, Henri; Slemrod, Marshall
1995
In the Chapman-Enskog expansion the Burnett coefficients satisfy the universal relation $$\omega _{3} + \omega _{4} + \theta _{3} = 0$$. Zbl 1005.76078
Slemrod, M.
2002
The viscosity-capillarity approach to phase transitions. Zbl 0991.80503
Slemrod, Marshall
1989
Isometric embedding via strongly symmetric positive systems. Zbl 1391.53017
Chen, Gui-Qiang; Clelland, Jeanne; Slemrod, Marshall; Wang, Dehua; Yang, Deane
2018
Large time behavior of the Broadwell model of a discrete velocity gas with specularly reflective boundary conditions. Zbl 0704.76039
Slemrod, M.
1990
Dynamic phase transitions and compensated compactness. Zbl 0647.76037
Roytburd, V.; Slemrod, M.
1987
An application of the method of compensated compactness to a problem in phase transitions. Zbl 0667.35047
Roytburd, V.; Slemrod, M.
1988
Entropy, elasticity, and the isometric embedding problem: $$\mathbb M^3\rightarrow\mathbb R^6$$. Zbl 1293.53006
Chen, Gui-Qiang G.; Slemrod, Marshall; Wang, Dehua
2014
Interrelationships among mechanics numerical analysis, compensated compactness, and oscillation theory. Zbl 0603.65078
Slemrod, M.
1986
Positively invariant regions for a problem in phase transitions. Zbl 0614.35005
Roytburd, V.; Slemrod, M.
1986
Self-similar isothermal irrotational motion for the Euler, Euler–Poisson systems and the formation of the plasma sheath. Zbl 1105.35071
Feldman, Mikhail; Ha, Seung-Yeal; Slemrod, Marshall
2006
An explicit solution of Burgers equation with stationary point source. Zbl 1295.35083
Chung, Jaywan; Kim, Yong-Jung; Slemrod, Marshall
2014
Boundary feedback stabilization for a quasi-linear wave equation. Zbl 0531.93045
Slemrod, M.
1983
An admissibility criterion for fluids exhibiting phase transitions. Zbl 0533.76100
Slemrod, Marshall
1983
Numerical simulations of cluster formation using a discrete velocity kinetic theory of gases. Zbl 0833.76067
Slemrod, Marshall; Qi, Anmin
1995
Isometric embedding via strongly symmetric positive systems. Zbl 1391.53017
Chen, Gui-Qiang; Clelland, Jeanne; Slemrod, Marshall; Wang, Dehua; Yang, Deane
2018
Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit. Zbl 1470.76017
Slemrod, Marshall
2018
Fluids, geometry, and the onset of Navier-Stokes turbulence in three space dimensions. Zbl 1398.76060
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2018
Fluids, elasticity, geometry, and the existence of wrinkled solutions. Zbl 1382.35203
Acharya, Amit; Chen, Gui-Qiang G.; Li, Siran; Slemrod, Marshall; Wang, Dehua
2017
On the decay rate of the Gauss curvature for isometric immersions. Zbl 1339.53002
Christoforou, Cleopatra; Slemrod, Marshall
2016
The problem with Hilbert’s 6th problem. Zbl 1325.35133
Slemrod, M.
2015
Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory. Zbl 1312.35154
Kim, Yong-Jung; Lee, Min-Gi; Slemrod, Marshall
2015
Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data. Zbl 1332.53005
Christoforou, Cleopatra; Slemrod, Marshall
2015
Lectures on the isometric embedding problem $$(M^n,g)\to\mathbb R^m$$, $$m=\frac{n}{2}(n+1)$$. Zbl 1457.53002
Slemrod, Marshall
2015
Kuramoto oscillators with inertia: a fast-slow dynamical systems approach. Zbl 1362.34059
Choi, Young-Pil; Ha, Seung-Yeal; Jung, Sungeun; Slemrod, Marshall
2015
Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit. Zbl 1322.92087
Ha, Seung-Yeal; Li, Zhuchun; Slemrod, Marshall; Xue, Xiaoping
2014
Entropy, elasticity, and the isometric embedding problem: $$\mathbb M^3\rightarrow\mathbb R^6$$. Zbl 1293.53006
Chen, Gui-Qiang G.; Slemrod, Marshall; Wang, Dehua
2014
An explicit solution of Burgers equation with stationary point source. Zbl 1295.35083
Chung, Jaywan; Kim, Yong-Jung; Slemrod, Marshall
2014
From Boltzmann to Euler: Hilbert’s 6th problem revisited. Zbl 1382.76215
Slemrod, M.
2013
Admissibility of weak solutions for the compressible Euler equations, $$n\geq 2$$. Zbl 1292.35221
Slemrod, Marshall
2013
Chapman-Enskog $$\Rightarrow$$ viscosity-capillarity. Zbl 1247.35135
Slemrod, Marshall
2012
Fast-slow dynamics of planar particle models for flocking and swarming. Zbl 1243.34065
Ha, Seung-Yeal; Jung, Sungeun; Slemrod, Marshall
2012
Time-averaged coarse variables for multi-scale dynamics. Zbl 1273.34065
Slemrod, Marshall; Acharya, Amit
2012
Flocking and synchronization of particle models. Zbl 1211.92068
Ha, Seung-Yeal; Lattanzio, Corrado; Rubino, Bruno; Slemrod, Marshall
2011
A fast-slow dynamical systems theory for the Kuramoto type phase model. Zbl 1252.34060
Ha, Seung-Yeal; Slemrod, Marshall
2011
Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063
Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2011
Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system. Zbl 1207.34071
Ha, Seung-Yeal; Slemrod, Marshall
2010
Isometric immersions and compensated compactness. Zbl 1208.53006
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding. Zbl 1194.53047
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
A fluid dynamic formulation of the isometric embedding problem in differential geometry. Zbl 1187.35135
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Vanishing viscosity method for transonic flow. Zbl 1140.76014
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2008
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Slow observables of singularly perturbed differential equations. Zbl 1140.34025
Artstein, Zvi; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
2007
Self-similar isothermal irrotational motion for the Euler, Euler–Poisson systems and the formation of the plasma sheath. Zbl 1105.35071
Feldman, Mikhail; Ha, Seung-Yeal; Slemrod, Marshall
2006
A geometric level-set formulation of a plasma-sheath interface. Zbl 1076.76078
Feldman, Mikhail; Ha, Seung-Yeal; Slemrod, Marshall
2005
KdV dynamics in the plasma-sheath transition. Zbl 1060.76137
Liu, Hailiang; Slemrod, M.
2004
Global existence of plasma ion-sheaths and their dynamics. Zbl 1055.35085
Ha, Seung-Yeal; Slemrod, Marshall
2003
The radio-frequency driven plasma sheath: asymptotics and analysis. Zbl 1037.76072
Slemrod, M.
2003
Dynamic flows with liquid/vapor phase transitions. Zbl 1036.76059
Fan, Haitao; Slemrod, Marshall
2002
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Monotone increasing solutions of the Painlevé 1 equation $$y''=y^2+x$$ and their role in the stability of the plasma-sheath transition. Zbl 1027.34044
Slemrod, M.
2002
In the Chapman-Enskog expansion the Burnett coefficients satisfy the universal relation $$\omega _{3} + \omega _{4} + \theta _{3} = 0$$. Zbl 1005.76078
Slemrod, M.
2002
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
2001
Regularization of the Burnett equations via relaxation. Zbl 1019.82018
Jin, Shi; Slemrod, Marshall
2001
Regularization of the Burnett equations for rapid granular flows via relaxation. Zbl 1037.76061
Jin, Shi; Slemrod, Marshall
2001
On singularly perturbed retarded functional differential equations. Zbl 0987.34070
Artstein, Zvi; Slemrod, Marshall
2001
Shadowing and the plasma-sheath transition layer. Zbl 1001.76125
Slemrod, M.
2001
The singular perturbation limit of an elastic structure in a rapidly flowing nearly inviscid fluid. Zbl 1020.74013
Artstein, Zvi; Slemrod, Marshall
2001
Remarks on the relaxation approximation of the Burnett equations. Zbl 1020.35048
Jin, Shi; Slemrod, Marshall
2001
The Becker-Döring equations. Zbl 0981.76096
Slemrod, Marshall
2000
Special issue devoted to the proceedings of the 5th international workshop on Mathematical aspects of fluid and plasma dynamics, MAFPD-5. Maui, HI, USA, June 28–July 3, 1998. Zbl 0967.00085
2000
Time-derivatives and frame-invariance beyond Newtonian fluids. Zbl 1004.76073
Biscari, Paolo; Cercignani, Carlo; Slemrod, Marshall
2000
Constitutive relations for monatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion. Zbl 0946.76087
Slemrod, Marshall
1999
Constitutive relations for Rivlin-Ericksen fluids based on generalized rational approximation. Zbl 0959.76004
Slemrod, M.
1999
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
Renormalization of the Chapman-Enskog expansion: Isothermal fluid flow and Rosenau saturation. Zbl 0917.76079
Slemrod, M.
1998
Phase separation of the slightly viscous Cahn-Hilliard equation in the singular perturbation limit. Zbl 0927.35008
Artstein, Z.; Slemrod, M.
1998
A renormalization method for the Chapman-Enskog expansion. Zbl 1194.82081
Slemrod, M.
1997
Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit. Zbl 0866.76075
Slemrod, M.
1996
Metastable fluid flow described via a discrete-velocity coagulation-fragmentation model. Zbl 1081.82621
Slemrod, M.
1996
A discrete velocity coagulation-fragmentation model. Zbl 0834.76080
Slemrod, M.; Qi, A.; Grinfeld, M.; Stewart, I.
1995
A comparison of two viscous regularizations of the Riemann problem for Burgers’ equation. Zbl 0854.35068
Slemrod, M.
1995
Stability of spherical isothermal liquid-vapor interfaces. Zbl 0837.76030
Gouin, Henri; Slemrod, Marshall
1995
Numerical simulations of cluster formation using a discrete velocity kinetic theory of gases. Zbl 0833.76067
Slemrod, Marshall; Qi, Anmin
1995
Self-similar fluid-dynamic limits for the Broadwell system. Zbl 0801.76002
Slemrod, Marshall; Tzavaras, Athanasios E.
1993
The Riemann problem for systems of conservation laws of mixed type. Zbl 0807.76031
Fan, Haitao; Slemrod, Marshall
1993
Dynamics of measured valued solutions to a backward-forward heat equation. Zbl 0747.35013
Slemrod, M.
1991
A note on the kinetic equations of coagulation. Zbl 0766.34010
Slemrod, M.
1991
Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations. Zbl 0732.35103
Slemrod, M.
1990
Large time behavior of the Broadwell model of a discrete velocity gas with specularly reflective boundary conditions. Zbl 0704.76039
Slemrod, M.
1990
Measure valued solutions to a backward-forward heat equation: A conference report. Zbl 0727.35073
Slemrod, M.
1990
The quasi-steady-state assumption: A case study in perturbation. Zbl 0679.34066
Segel, Lee A.; Slemrod, Marshall
1989
Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control. Zbl 0676.93057
Slemrod, Marshall
1989
A limiting “viscosity” approach to the Riemann problem for materials exhibiting change of phase. Zbl 0701.35101
Slemrod, M.
1989
Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping. Zbl 0699.35023
Slemrod, M.
1989
Trend to equilibrium in the Becker-Doering cluster equations. Zbl 0709.60528
Slemrod, M.
1989
A limiting viscosity approach for the Riemann problem in isentropic gas dynamics. Zbl 0675.76073
Slemrod, Marshall; Tzavaras, Athanasios E.
1989
The viscosity-capillarity approach to phase transitions. Zbl 0991.80503
Slemrod, Marshall
1989
PDEs and continuum models of phase transitions. Proceedings of an NSF- CNRS joint seminar held in Nice, France, January 18-22, 1988. Zbl 0717.76011
1989
An application of the method of compensated compactness to a problem in phase transitions. Zbl 0667.35047
Roytburd, V.; Slemrod, M.
1988
The LaSalle invariance principle in infinite dimensional Hilbert space. Zbl 0709.35050
Slemrod, M.
1988
Dynamic phase transitions and compensated compactness. Zbl 0647.76037
Roytburd, V.; Slemrod, M.
1987
Measure-valued solutions to a problem in dynamic phase transitions. Zbl 0648.35052
Slemrod, M.; Roytburd, V.
1987
The vanishing viscosity-capillarity approach to the Riemann problem for a van der Waals fluid. Zbl 0668.76004
Slemrod, M.
1987
Scanning control of a vibrating string. Zbl 0604.93044
McLaughlin, J. R.; Slemrod, M.
1986
Interrelationships among mechanics numerical analysis, compensated compactness, and oscillation theory. Zbl 0603.65078
Slemrod, M.
1986
Positively invariant regions for a problem in phase transitions. Zbl 0614.35005
Roytburd, V.; Slemrod, M.
1986
One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1985
Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations. Zbl 0605.76078
Slemrod, M.; Marsden, J. E.
1985
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1984
Dynamic phase transitions in a van der Waals fluid. Zbl 0487.76006
Slemrod, M.
1984
Dynamics of first order phase transitions. Zbl 0603.76002
Slemrod, M.
1984
Controllability for a class of nondiagonal hyperbolic distributed bilinear systems. Zbl 0536.93007
Slemrod, M.
1984
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
The viscosity-capillarity criterion for shocks and phase transitions. Zbl 0531.76069
Hagan, R.; Slemrod, M.
1983
Viscoelastic fluid flow exhibiting hysteretic phase changes. Zbl 0529.76009
Hunter, J. K.; Slemrod, M.
1983
Boundary feedback stabilization for a quasi-linear wave equation. Zbl 0531.93045
Slemrod, M.
1983
An admissibility criterion for fluids exhibiting phase transitions. Zbl 0533.76100
Slemrod, Marshall
1983
Controllability for distributed bilinear systems. Zbl 0485.93015
Ball, J. M.; Marsden, J. E.; Slemrod, M.
1982
Trajectories joining critical points. Zbl 0509.58041
Artstein, Zvi; Slemrod, Marshall
1982
Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity. Zbl 0481.73009
Slemrod, M.
1981
Unstable viscoelastic fluid flows. Zbl 0461.76039
Slemrod, M.
1980
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030
Ball, J. M.; Slemrod, M.
1979
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041
Ball, J. M.; Slemrod, M.
1979
Damped conservation laws in continuum mechanics. Zbl 0399.73034
Slemrod, M.
1979
...and 18 more Documents
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### Cited by 1,902 Authors

 52 Ha, Seung-Yeal 51 Slemrod, Marshall 24 Chen, Gui-Qiang G. 18 Ouzahra, Mohamed 15 Mai Duc Thanh 14 Bersani, Alberto Maria 14 LeFloch, Philippe Gerard 14 Wang, Dehua 13 Walcher, Sebastian 13 Xin, Zhouping 12 Bloom, Frederick 12 Zerrik, El Hassan 11 Du, Lili 11 Lasiecka, Irena 11 Schnell, Santiago 11 Sigalotti, Mario 10 Beauchard, Karine 10 Boutoulout, Ali 10 Huang, Feimin 10 Wang, Chunpeng 10 Xiang, Wei 10 Zhang, Xiongtao 9 Jiang, Song 9 Li, Yeping 9 Struchtrup, Henning 9 Yang, Jianwei 8 Ball, John MacLeod 8 Bates, Peter W. 8 Berrahmoune, Larbi 8 Hale, Jack Kenneth 8 Hattori, Harumi 8 Joseph, Daniel D. 8 Kim, Jeongho 8 Li, Zhuchun 8 Peletier, Lambertus Adrianus 8 Shearer, Michael 8 Truskinovsky, Lev 8 Vainchtein, Anna 8 Wang, Shu 7 Barbu, Viorel 7 Bersani, Enrico 7 Cheng, Jianfeng 7 Degond, Pierre 7 Duca, Alessandro 7 Eilertsen, Justin S. 7 Haraux, Alain 7 Hu, Yanbo 7 Jochmann, Frank 7 Novick-Cohen, Amy 7 Soufyane, Abdelaziz 7 Triggiani, Roberto 7 Tucsnak, Marius 6 Acharya, Amit 6 Artstein, Zvi 6 Colucci, Renato 6 Freistühler, Heinrich 6 Kang, Moon-Jin 6 Messaoudi, Salim A. 6 Muñoz Rivera, Jaime Edilberto 6 Pence, Thomas J. 6 Qin, Yuming 6 Rao, Bopeng 6 Rohde, Christian 6 Ruggeri, Tommaso 6 Tcheugoué Tébou, Louis Roder 6 Wrzosek, Dariusz M. 6 Xie, Chunjing 6 Zhang, Shuyi 5 Bobylev, Alexandre Vasiljévitch 5 Boscain, Ugo 5 Cannarsa, Piermarco 5 Chambrion, Thomas 5 Christoforou, Cleopatra C. 5 Coquel, Frédéric 5 Curtain, Ruth Frances 5 Dafermos, Constantine M. 5 Goeke, Alexandra 5 Gorban, Alexander N. 5 Khapalov, Alexander Yuri 5 Ladas, Gerasimos E. 5 Laurençot, Philippe 5 Lax, Christian 5 Li, Siran 5 Nersesyan, Vahagn 5 Owen, Nicholas C. 5 Pedersen, Morten Gram 5 Quintanilla de Latorre, Ramón 5 Racke, Reinhard 5 Sadek, Ibrahim S. 5 Segel, Lee Aaron 5 Sficas, Yiannis G. 5 Tesei, Alberto 5 Torrilhon, Manuel 5 Tsinias, John 5 Tsouli, Azzeddine 5 Tzavaras, Athanasios E. 5 Vignal, Marie-Hélène 5 Wang, Tianyi 5 Wang, Ya-Guang 5 Zhang, Yanyan ...and 1,802 more Authors
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### Cited in 281 Serials

 133 Journal of Differential Equations 94 Journal of Mathematical Analysis and Applications 82 Archive for Rational Mechanics and Analysis 35 Nonlinear Analysis. Theory, Methods & Applications 31 International Journal of Control 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Physica D 28 Journal of Computational Physics 28 Quarterly of Applied Mathematics 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Applicable Analysis 25 Systems & Control Letters 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 Applied Mathematics Letters 23 Journal of Mathematical Chemistry 22 Automatica 20 SIAM Journal on Mathematical Analysis 19 Mathematical Biosciences 19 Bulletin of Mathematical Biology 19 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Journal of Theoretical Biology 18 Computers & Mathematics with Applications 17 Nonlinear Analysis. Real World Applications 16 Journal of Mathematical Physics 16 Communications in Partial Differential Equations 15 Journal of Statistical Physics 15 SIAM Journal on Control and Optimization 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Communications in Mathematical Physics 13 Applied Mathematics and Optimization 13 Proceedings of the American Mathematical Society 13 Journal of Elasticity 13 European Journal of Control 13 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Mathematical Biology 12 Mathematical Methods in the Applied Sciences 12 Journal of Dynamics and Differential Equations 12 Continuum Mechanics and Thermodynamics 11 Applied Mathematics and Computation 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 MCSS. Mathematics of Control, Signals, and Systems 10 Journal of Functional Analysis 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Discrete and Continuous Dynamical Systems 9 Journal of the Mechanics and Physics of Solids 9 Journal of Computational and Applied Mathematics 9 Transactions of the American Mathematical Society 9 Physics of Fluids 9 SIAM Journal on Applied Dynamical Systems 9 Journal of Hyperbolic Differential Equations 8 Journal of Fluid Mechanics 8 Nonlinearity 8 SIAM Journal on Applied Mathematics 8 Journal of Nonlinear Science 8 Kinetic and Related Models 8 Mathematical Control and Related Fields 7 Chaos, Solitons and Fractals 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Chinese Annals of Mathematics. Series B 7 Journal of Scientific Computing 7 Journal of Dynamical and Control Systems 7 Communications on Pure and Applied Analysis 6 Transport Theory and Statistical Physics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 European Journal of Applied Mathematics 6 Networks and Heterogeneous Media 5 International Journal of Engineering Science 5 Journal of Optimization Theory and Applications 5 Meccanica 5 Acta Mathematicae Applicatae Sinica. English Series 5 Mathematical and Computer Modelling 5 Nonlinear Dynamics 5 Abstract and Applied Analysis 5 Journal of Evolution Equations 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Evolution Equations and Control Theory 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Systems Science 4 Israel Journal of Mathematics 4 Journal of the Franklin Institute 4 Rocky Mountain Journal of Mathematics 4 Wave Motion 4 Advances in Mathematics 4 Mathematische Annalen 4 Semigroup Forum 4 Tohoku Mathematical Journal. Second Series 4 Acta Applicandae Mathematicae 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Non-Equilibrium Thermodynamics 4 Bulletin of the American Mathematical Society. New Series 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Sciences (New York) 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Vibration and Control 4 Mathematics and Mechanics of Solids 4 Chaos 4 Analysis and Applications (Singapore) 4 Mathematical Modelling of Natural Phenomena 4 International Journal of Differential Equations ...and 181 more Serials
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### Cited in 45 Fields

 810 Partial differential equations (35-XX) 359 Fluid mechanics (76-XX) 328 Systems theory; control (93-XX) 282 Mechanics of deformable solids (74-XX) 235 Ordinary differential equations (34-XX) 204 Biology and other natural sciences (92-XX) 150 Statistical mechanics, structure of matter (82-XX) 108 Operator theory (47-XX) 98 Numerical analysis (65-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 83 Dynamical systems and ergodic theory (37-XX) 69 Classical thermodynamics, heat transfer (80-XX) 35 Integral equations (45-XX) 34 Probability theory and stochastic processes (60-XX) 30 Quantum theory (81-XX) 28 Differential geometry (53-XX) 27 Mechanics of particles and systems (70-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Optics, electromagnetic theory (78-XX) 18 Functional analysis (46-XX) 14 General topology (54-XX) 12 Operations research, mathematical programming (90-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 5 Functions of a complex variable (30-XX) 5 Manifolds and cell complexes (57-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Astronomy and astrophysics (85-XX)