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## Renardy, Michael

Compute Distance To:
 Author ID: renardy.michael Published as: Renardy, Michael; Renardy, M. Homepage: https://www.math.vt.edu/people/renardym/ External Links: MGP · MathOverflow · ORCID · ResearchGate · dblp · GND
 Documents Indexed: 217 Publications since 1979, including 6 Books
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#### Co-Authors

 122 single-authored 33 Renardy, Yuriko Yamamuro 8 Hrusa, William J. 8 Mitra, Debanjana 7 Hagen, Thomas C. 6 Joseph, Daniel D. 6 Markowich, Peter Alexander 5 Ramaswamy, Mythily 4 Rogers, Robert C. 3 Bresch, Didier 3 Chowdhury, Shirshendu 3 Nohel, John A. 2 Afkhami, Shahriar 2 Kaffel, Ahmed 2 Khismatullin, Damir B. 2 Li, Jie 2 Olivier, Julien 2 Riffle, J. S. 2 Wang, Xiaojun 1 Ahrens, Mark 1 Aldroubi, Akram 1 Amann, Herbert 1 Balci, Nusret 1 Chinyoka, Tirivanhu 1 Clanet, Christophe 1 Coward, Adrian V. 1 Cristini, Vittorio 1 Doering, Charles R. 1 Drumright-Clarke, M. A. 1 Duchemin, Laurent 1 Fujimura, Kaoru 1 Hagen, Teus 1 Hassager, Ole 1 Josserand, Christophe 1 Kolte, Mette I. 1 Laadj, Toufik 1 Lasiecka, Irena 1 Lodge, Arthur S. 1 Losh, David 1 Lukáčová-Medvid’ová, Mária 1 Maity, Debayan 1 Mizerová, Hana 1 Mulzet, A. K. 1 Nečasová, Šárka 1 Pierre, T. G. St. 1 Popinet, Stéphane 1 Quéré, David 1 Rajagopal, Kumbakonam Ramamani 1 Richard, Denis 1 Richards, John R. 1 Saut, Jean-Claude 1 Savelev, Evgeny 1 St Pierre, T. 1 Thomases, Becca 1 Triggiani, Roberto 1 Tyler, A. J. 1 Wapperom, Peter 1 Wilson, Helen J. 1 Wineman, Alan S. 1 Woodward, R. C. 1 Zaleski, Stéphane
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#### Serials

 39 Journal of Non-Newtonian Fluid Mechanics 14 Archive for Rational Mechanics and Analysis 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 SIAM Journal on Mathematical Analysis 7 Journal of Mathematical Fluid Mechanics 6 Journal of Fluid Mechanics 6 Differential and Integral Equations 5 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Rheologica Acta 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Journal of Differential Equations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 IMA Journal of Applied Mathematics 3 Theoretical and Computational Fluid Dynamics 3 Semigroup Forum 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Evolution Equations and Control Theory 2 International Journal for Numerical Methods in Fluids 2 Rocky Mountain Journal of Mathematics 2 Systems & Control Letters 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 European Journal of Mechanics. B. Fluids 2 Journal of Evolution Equations 2 Texts in Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics of Fluids 1 Physics of Fluids, A 1 Fluid Dynamics Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Complex Variables. Theory and Application 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 European Journal of Mechanics. B. Fluids 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Physics of Fluids 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Analysis. Real World Applications 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Computer Science
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#### Fields

 164 Fluid mechanics (76-XX) 93 Partial differential equations (35-XX) 27 Mechanics of deformable solids (74-XX) 21 Integral equations (45-XX) 15 Operator theory (47-XX) 12 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

175 Publications have been cited 2,042 times in 1,636 Documents Cited by Year
Mathematical problems in viscoelasticity. Zbl 0719.73013
Renardy, Michael; Hrusa, William J.; Nohel, John A.
1987
An introduction to partial differential equations. Zbl 0917.35001
Renardy, M.; Rogers, R. C.
1993
An introduction to partial differential equations. 2nd ed. Zbl 1072.35001
Renardy, Michael; Rogers, Robert C.
2004
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. Zbl 1057.76569
Renardy, Yuriko; Renardy, Michael
2002
A note on the equations of a thermoelastic plate. Zbl 0826.35048
Liu, Z.-Y.; Renardy, M.
1995
Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Zbl 1149.76454
Li, Jie; Renardy, Yuriko Y.; Renardy, Michael
2000
Numerical simulation of moving contact line problems using a volume-of-fluid method. Zbl 1044.76051
Renardy, Michael; Renardy, Yuriko; Li, Jie
2001
Instability of the flow of two immiscible liquids with different viscosities in a pipe. Zbl 0562.76103
Joseph, Daniel D.; Renardy, Michael; Renardy, Yuriko
1984
An existence theorem for model equations resulting from kinetic theories of polymer solutions. Zbl 0735.35101
Renardy, Michael
1991
Mathematical analysis of viscoelastic flows. Zbl 0956.76001
Renardy, Michael
2000
Hyperbolicity and change of type in the flow of viscoelastic fluids. Zbl 0572.76011
Joseph, Daniel D.; Renardy, Michael; Saut, Jean-Claude
1985
Existence of slow steady flows of viscoelastic fluids with differential constitutive equations. Zbl 0577.76014
Renardy, M.
1985
A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. Zbl 1063.76077
Renardy, Yuriko Y.; Renardy, Michael; Cristini, Vittorio
2002
Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids. Zbl 0488.76002
Renardy, M.
1982
Linear stability of plane Couette flow of an upper convected Maxwell fluid. Zbl 0608.76006
Renardy, Michael; Renardy, Yuriko
1986
Pyramidal and toroidal water drops after impact on a solid surface. Zbl 1112.76336
Renardy, Y.; Popinet, S.; Duchemin, L.; Renardy, M.; Zaleski, S.; Josserand, C.; Drumright-Clarke, M. A.; Richard, D.; Clanet, C.; Quéré, D.
2003
On the linear stability of hyperbolic PDEs and viscoelastic flows. Zbl 0820.76008
Renardy, Michael
1994
Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids. Zbl 1195.76084
Chinyoka, T.; Renardy, Y. Y.; Renardy, M.; Khismatullin, D. B.
2005
On localized Kelvin-Voigt damping. Zbl 1058.35143
Renardy, Michael
2004
Ill-posedness of the hydrostatic Euler and Navier-Stokes equations. Zbl 1292.76011
Renardy, Michael
2009
On wave propagation in linear viscoelasticity. Zbl 0571.73026
Hrusa, W. J.; Renardy, M.
1985
A model equation for viscoelasticity with a strongly singular kernel. Zbl 0644.73041
Hrusa, William J.; Renardy, Michael
1988
Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids. Zbl 0956.76025
Wilson, Helen J.; Renardy, Michael; Renardy, Yuriko
1999
On the type of certain $$C_ 0$$-semigroups. Zbl 0801.47029
Renardy, Michael
1993
Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields. Zbl 1205.76291
Afkhami, S.; Tyler, A. J.; Renardy, Y.; Renardy, M.; Pierre, T. G. St.; Woodward, R. C.; Riffle, J. S.
2010
Some remarks on the Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0597.35097
Renardy, Michael
1986
Null controllability of the linearized compressible Navier Stokes system in one dimension. Zbl 1295.93007
Chowdhury, Shirshendu; Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
2014
Temporal evolution of periodic disturbances in two-layer Couette flow. Zbl 0880.76055
Coward, Adrian V.; Renardy, Yuriko Y.; Renardy, Michael; Richards, John R.
1997
Are viscoelastic flows under control or out of control? Zbl 1129.93325
Renardy, Michael
2005
A comment on smoothness of viscoelastic stresses. Zbl 1195.76108
Renardy, Michael
2006
On a class of quasilinear partial integrodifferential equations with singular kernels. Zbl 0593.45011
Hrusa, W. J.; Renardy, M.
1986
Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows. Zbl 0799.76023
Renardy, Michael; Renardy, Yuriko
1993
Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations. Zbl 1125.76055
Khismatullin, D.; Renardy, Y.; Renardy, M.
2006
Field-induced motion of ferrofluid droplets through immiscible viscous media. Zbl 1147.76063
Afkhami, S.; Renardy, Y.; Renardy, M.; Riffle, J. S.; St Pierre, T.
2008
Bifurcation from rotating waves. Zbl 0498.35010
Renardy, Michael
1982
Perturbation analysis of steady and oscillatory onset in a Bénard problem with two similar liquids. Zbl 0606.76054
Renardy, Yuriko; Renardy, Michael
1985
Stability of rigid motions and rollers in bicomponent flows of immiscible liquids. Zbl 0632.76122
Joseph, Daniel D.; Renardy, Y.; Renardy, M.; Nguyen, K.
1985
On the stability of differentiability of semigroups. Zbl 0831.47030
Renardy, Michael
1995
Studies on the linear equations of melt-spinning of viscous fluids. Zbl 1161.35334
Hagen, Thomas; Renardy, Michael
2001
Parallel shear flows of fluids with a pressure-dependent viscosity. Zbl 1052.76018
Renardy, Michael
2003
An introduction to partial differential equations. Corr. 2nd printing. Zbl 0917.35002
Renardy, Michael; Rogers, Robert C.
1996
Similarity solutions for jet breakup for various models of viscoelastic fluids. Zbl 1058.76536
Renardy, Michael
2002
Bifurcating solutions at the onset of convection in the Bénard problem for two fluids. Zbl 0656.76044
Renardy, Michael; Renardy, Yuriko
1988
A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. Zbl 0507.45013
Markowich, Peter A.; Renardy, M.
1983
Eigenvalue asymptotics in non-isothermal elongational flow. Zbl 0967.35106
Hagen, Thomas; Renardy, Michael
2000
Symmetric factorization of the conformation tensor in viscoelastic fluid models. Zbl 1359.76023
Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.
2011
Imposing “no” boundary condition at outflow: why does it work? Zbl 1113.76405
Renardy, Michael
1997
Ill-posedness at the boundary for elastic solids sliding under Coulomb friction. Zbl 0755.73084
Renardy, Michael
1992
A singularly perturbed problem related to surfactant spreading on thin films. Zbl 0862.35091
Renardy, Michael
1996
Backward uniqueness for thermoelastic plates with rotational forces. Zbl 1015.74030
Lasiecka, I.; Renardy, M.; Triggiani, R.
2001
Energy method for a parabolic-hyperbolic interface problem arising in electromagnetism. Zbl 0726.35087
Al-Droubi, Akram; Renardy, Michael
1988
Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials. Zbl 0734.73010
Renardy, Michael
1990
Global existence of solutions for shear flow of certain viscoelastic fluids. Zbl 1162.76307
Renardy, Michael
2009
Bifurcation of singular solutions in reversible systems and applications to reaction-diffusion equations. Zbl 0516.35010
Renardy, M.
1982
Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection. Zbl 0948.76021
Renardy, Yuriko Yamamuro; Renardy, Michael; Fujimura, Kaoru
1999
Current issues in non-Newtonian flows: A mathematical perspective. Zbl 0970.76013
Renardy, Michael
2000
Recent advances in the mathematical theory of steady flow of viscoelastic fluids. Zbl 0666.76029
Renardy, Michael
1988
Shear flow of viscoelastic fluids as a control problem. Zbl 1187.76619
Renardy, Michael
2005
On control of shear flow of an upper convected Maxwell fluid. Zbl 1110.76008
Renardy, M.
2007
Reaction-diffusion problems in electrolysis. Zbl 0831.35153
Amann, Herbert; Renardy, Michael
1994
An existence theorem for a free surface flow problem with open boundaries. Zbl 0767.35061
Renardy, Michael
1992
Well-posedness of two-layer shallow-water flow between two horizontal rigid plates. Zbl 1216.35095
Bresch, Didier; Renardy, Michael
2011
Singularly perturbed hyperbolic evolution problems with infinite delay and an application to polymer rheology. Zbl 0554.35084
Renardy, Michael
1984
Inflow boundary conditions for steady flows of viscoelastic fluids with differential constitutive laws. Zbl 0646.76009
Renardy, Michael
1988
A note on a class of observability problems for PDEs. Zbl 1159.93316
Renardy, Michael
2009
Polar decomposition of positive operators and a problem of Crandall and Lions. Zbl 0832.47025
Renardy, Michael
1995
On an equation describing the spreading of surfactants on thin films. Zbl 0891.76029
Renardy, Michael
1996
Failure and nonfailure of fluid filaments in extension. Zbl 0965.76007
Hassager, Ole; Kolte, Mette I.; Renardy, Michael
1998
Existence of slow steady flows of viscoelastic fluids of integral type. Zbl 0669.76022
Renardy, M.
1988
Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007
Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael
2017
Development of singularities in nonlinear viscoelasticity. Zbl 0629.73025
Nohel, J. A.; Renardy, M.
1986
Mathematical analysis of viscoelastic fluids. Zbl 1185.35197
Renardy, Michael
2008
Draw resonance revisited. Zbl 1136.76375
Renardy, Michael
2006
On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers. Zbl 1274.76205
Kaffel, Ahmed; Renardy, Michael
2010
Well-posedness of the hydrostatic MHD equations. Zbl 1294.35111
Renardy, Michael
2012
A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity. Zbl 0471.45006
Renardy, M.
1983
Self-similar breakup of a Giesekus jet. Zbl 0987.76006
Renardy, Michael
2001
Pattern selection in the Bénard problem for a viscoelastic fluid. Zbl 0745.76017
Renardy, Michael; Renardy, Yuriko
1992
A rigorous stability proof for plane Couette flow of an upper convected Maxwell fluid at zero Reynolds number. Zbl 0850.76196
Renardy, M.
1992
Coercive estimates and existence of solutions for a model of one- dimensional viscoelasticity with a non-integrable memory function. Zbl 0663.73024
Renardy, Michael
1988
On the domain space for constitutive laws in linear viscoelasticity. Zbl 0564.76016
Renardy, M.
1984
Hopf bifurcation in two-component flow. Zbl 0605.76052
Renardy, M.; Joseph, D. D.
1986
On hydrostatic free surface problems. Zbl 1270.76010
Renardy, Michael
2011
Stability of viscoelastic shear flows in the limit of high Weissenberg and Reynolds numbers. Zbl 1274.76210
Renardy, Michael
2008
On the high Weissenberg number limit of the upper convected Maxwell fluid. Zbl 1274.76131
Renardy, Michael
2010
Singular value decomposition in Minkowski space. Zbl 0846.15008
Renardy, Michael
1996
On bounded solutions of a classical Yang-Mills equation. Zbl 0451.35063
Renardy, Michael
1980
A centre manifold theorem for hyperbolic PDEs. Zbl 0801.35086
Renardy, Michael
1992
The stresses of an upper convected Maxwell fluid in a Newtonian velocity field near a re-entrant corner. Zbl 0807.76004
Renardy, Michael
1993
On the equations of melt-spinning in viscous flow. Zbl 0935.35095
Hagen, T.; Renardy, M.
2000
Interior local null controllability for multi-dimensional compressible flow near a constant state. Zbl 1375.35324
Mitra, Debanjana; Renardy, M.
2017
Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids. Zbl 1308.76016
Renardy, Michael; Wang, Xiaojun
2014
Finite time breakup of viscous filaments. Zbl 0991.76025
Renardy, Michael
2001
Similarity solutions for breakup of jets of power-law fluids. Zbl 1078.76011
Renardy, Michael; Renardy, Yuriko
2004
Self-similar jet breakup for a generalized PTT model. Zbl 1058.76530
Renardy, Michael
2002
A degenerate parabolic-hyperbolic system modeling the spreading of surfactants. Zbl 0922.35082
Renardy, Michael
1997
An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials. Zbl 0659.73011
Hrusa, William J.; Renardy, Michael
1988
Mathematical analysis of viscoelastic flows. Zbl 0662.76012
Renardy, Michael
1989
Stability of shear flows of viscoelastic fluids under perturbations perpendicular to the plane of flow. Zbl 0672.76008
Renardy, Michael; Renardy, Yuriko
1989
Remarks on the stability of viscometric flow. Zbl 0568.76054
Ahrens, Mark; Joseph, D. D.; Renardy, M.; Renardy, Y.
1984
Lack of null controllability of viscoelastic flows. Zbl 1437.35585
Maity, Debayan; Mitra, Debanjana; Renardy, Michael
2019
Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control. Zbl 1405.93122
Chowdhury, Shirshendu; Mitra, Debanjana; Renardy, Michael
2018
Approximate controllability results for viscoelastic flows with infinitely many relaxation modes. Zbl 1383.35171
Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
2018
Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007
Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael
2017
Interior local null controllability for multi-dimensional compressible flow near a constant state. Zbl 1375.35324
Mitra, Debanjana; Renardy, M.
2017
Approximate controllability results for linear viscoelastic flows. Zbl 1386.93047
Chowdhury, Shirshendu; Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
2017
Interior local null controllability of one-dimensional compressible flow near a constant steady state. Zbl 1368.35209
Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
2017
Development of congestion in compressible flow with singular pressure. Zbl 1378.35231
Bresch, Didier; Renardy, Michael
2017
Thixotropy in yield stress fluids as a limit of viscoelasticity. Zbl 1408.76031
Renardy, Michael; Renardy, Yuriko
2016
A backward uniqueness result for the wave equation with absorbing boundary conditions. Zbl 1337.47111
Renardy, Michael
2015
Backward uniqueness for linearized compressible flow. Zbl 1338.47046
Renardy, Michael
2015
Well-posedness of the Prandtl boundary layer equations for the upper convected Maxwell fluid. Zbl 1375.35327
Renardy, Michael
2015
Prandtl boundary layers for the Phan-Thien-Tanner and Giesekus fluid. Zbl 1317.76013
Renardy, Michael
2015
Null controllability of the linearized compressible Navier Stokes system in one dimension. Zbl 1295.93007
Chowdhury, Shirshendu; Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
2014
Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids. Zbl 1308.76016
Renardy, Michael; Wang, Xiaojun
2014
On the stability of inviscid parallel shear flows with a free surface. Zbl 1408.76250
Renardy, Michael; Renardy, Yuriko
2013
Kelvin-Helmholtz instability with a free surface. Zbl 1271.76087
Bresch, Didier; Renardy, Michael
2013
On the generalization of the Hébraud-Lequeux model to multidimensional flows. Zbl 1283.35144
Olivier, Julien; Renardy, Michael
2013
Linear stability of steady flows of Jeffreys type fluids. Zbl 1317.76012
Renardy, Michael
2013
Well-posedness of the hydrostatic MHD equations. Zbl 1294.35111
Renardy, Michael
2012
Symmetric factorization of the conformation tensor in viscoelastic fluid models. Zbl 1359.76023
Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.
2011
Well-posedness of two-layer shallow-water flow between two horizontal rigid plates. Zbl 1216.35095
Bresch, Didier; Renardy, Michael
2011
On hydrostatic free surface problems. Zbl 1270.76010
Renardy, Michael
2011
Surface modes in inviscid free surface shear flows. Zbl 1385.76003
Kaffel, A.; Renardy, M.
2011
Initial value problems for creeping flow of Maxwell fluids. Zbl 1402.76018
2011
Glass transition seen through asymptotic expansions. Zbl 1231.34051
Olivier, Julien; Renardy, Michael
2011
Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number. Zbl 1205.35233
Wang, Xiaojun; Renardy, Michael
2011
Non-failure of filaments and global existence for the equations of fiber spinning. Zbl 1231.35255
Hagen, Thomas; Renardy, Michael
2011
Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields. Zbl 1205.76291
Afkhami, S.; Tyler, A. J.; Renardy, Y.; Renardy, M.; Pierre, T. G. St.; Woodward, R. C.; Riffle, J. S.
2010
On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers. Zbl 1274.76205
Kaffel, Ahmed; Renardy, Michael
2010
On the high Weissenberg number limit of the upper convected Maxwell fluid. Zbl 1274.76131
Renardy, Michael
2010
Control of homogeneous shear flow of multimode Maxwell fluids. Zbl 1274.76134
Savelev, Evgeny; Renardy, Michael
2010
The mathematics of myth: yield stress behavior as a limit of non-monotone constitutive theories. Zbl 1274.76062
Renardy, Michael
2010
Stability of creeping flows of Maxwell fluids. Zbl 1333.76015
Renardy, Michael
2010
Nonlinear stability for advective systems. Zbl 1239.76037
Renardy, Michael
2010
Ill-posedness of the hydrostatic Euler and Navier-Stokes equations. Zbl 1292.76011
Renardy, Michael
2009
Global existence of solutions for shear flow of certain viscoelastic fluids. Zbl 1162.76307
Renardy, Michael
2009
A note on a class of observability problems for PDEs. Zbl 1159.93316
Renardy, Michael
2009
Controllability of viscoelastic stresses for nonlinear Maxwell models. Zbl 1274.76130
Renardy, Michael
2009
Stress modes in linear stability of viscoelastic flows. Zbl 1274.76211
Renardy, Michael
2009
Linear stability of homogeneous elongational flow of the upper convected Maxwell fluid. Zbl 1274.76212
Renardy, Michael; Renardy, Yuriko
2009
Some global stability results for shear flows of viscoelastic fluids. Zbl 1162.76341
Renardy, Michael
2009
Field-induced motion of ferrofluid droplets through immiscible viscous media. Zbl 1147.76063
Afkhami, S.; Renardy, Y.; Renardy, M.; Riffle, J. S.; St Pierre, T.
2008
Mathematical analysis of viscoelastic fluids. Zbl 1185.35197
Renardy, Michael
2008
Stability of viscoelastic shear flows in the limit of high Weissenberg and Reynolds numbers. Zbl 1274.76210
Renardy, Michael
2008
On the use of Laplace transform inversion for reconstruction of relaxation spectra. Zbl 1273.76328
Renardy, Michael
2008
Short wave stability for inviscid shear flow. Zbl 1165.76014
Renardy, Michael
2008
On control of shear flow of an upper convected Maxwell fluid. Zbl 1110.76008
Renardy, M.
2007
A comment on smoothness of viscoelastic stresses. Zbl 1195.76108
Renardy, Michael
2006
Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations. Zbl 1125.76055
Khismatullin, D.; Renardy, Y.; Renardy, M.
2006
Draw resonance revisited. Zbl 1136.76375
Renardy, Michael
2006
Viscoelastic stagnation point flow in a wake. Zbl 1195.76109
Renardy, Michael
2006
Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids. Zbl 1195.76084
Chinyoka, T.; Renardy, Y. Y.; Renardy, M.; Khismatullin, D. B.
2005
Are viscoelastic flows under control or out of control? Zbl 1129.93325
Renardy, Michael
2005
Shear flow of viscoelastic fluids as a control problem. Zbl 1187.76619
Renardy, Michael
2005
Numerical prediction of the boundary layers in the flow around a cylinder using a fixed velocity field. Zbl 1143.76371
Wapperom, P.; Renardy, M.
2005
A comment on self-similar breakup for inertialess Newtonian liquid jets. Zbl 1076.76026
Renardy, Michael
2005
An introduction to partial differential equations. 2nd ed. Zbl 1072.35001
Renardy, Michael; Rogers, Robert C.
2004
On localized Kelvin-Voigt damping. Zbl 1058.35143
Renardy, Michael
2004
Similarity solutions for breakup of jets of power-law fluids. Zbl 1078.76011
Renardy, Michael; Renardy, Yuriko
2004
Pyramidal and toroidal water drops after impact on a solid surface. Zbl 1112.76336
Renardy, Y.; Popinet, S.; Duchemin, L.; Renardy, M.; Zaleski, S.; Josserand, C.; Drumright-Clarke, M. A.; Richard, D.; Clanet, C.; Quéré, D.
2003
Parallel shear flows of fluids with a pressure-dependent viscosity. Zbl 1052.76018
Renardy, Michael
2003
Spectrally determined growth for creeping flow of the upper convected Maxwell fluid. Zbl 1023.76014
Renardy, Michael
2003
Stress integration for the constitutive law of the upper convected Maxwell fluid near the corners in a driven cavity. Zbl 1042.76004
Renardy, Michael
2003
Stability and instability in viscous fluids. Zbl 1057.76002
Renardy, Michael; Renardy, Yuriko
2003
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. Zbl 1057.76569
Renardy, Yuriko; Renardy, Michael
2002
A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. Zbl 1063.76077
Renardy, Yuriko Y.; Renardy, Michael; Cristini, Vittorio
2002
Similarity solutions for jet breakup for various models of viscoelastic fluids. Zbl 1058.76536
Renardy, Michael
2002
Self-similar jet breakup for a generalized PTT model. Zbl 1058.76530
Renardy, Michael
2002
Similarity solutions for jet breakup in a Giesekus fluid with inertia. Zbl 1008.76516
Renardy, Michael; Losh, David
2002
Numerical simulation of moving contact line problems using a volume-of-fluid method. Zbl 1044.76051
Renardy, Michael; Renardy, Yuriko; Li, Jie
2001
Studies on the linear equations of melt-spinning of viscous fluids. Zbl 1161.35334
Hagen, Thomas; Renardy, Michael
2001
Backward uniqueness for thermoelastic plates with rotational forces. Zbl 1015.74030
Lasiecka, I.; Renardy, M.; Triggiani, R.
2001
Self-similar breakup of a Giesekus jet. Zbl 0987.76006
Renardy, Michael
2001
Finite time breakup of viscous filaments. Zbl 0991.76025
Renardy, Michael
2001
Shape control by collinear actuators. Zbl 0983.74042
Renardy, Michael
2001
Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Zbl 1149.76454
Li, Jie; Renardy, Yuriko Y.; Renardy, Michael
2000
Mathematical analysis of viscoelastic flows. Zbl 0956.76001
Renardy, Michael
2000
Eigenvalue asymptotics in non-isothermal elongational flow. Zbl 0967.35106
Hagen, Thomas; Renardy, Michael
2000
Current issues in non-Newtonian flows: A mathematical perspective. Zbl 0970.76013
Renardy, Michael
2000
On the equations of melt-spinning in viscous flow. Zbl 0935.35095
Hagen, T.; Renardy, M.
2000
Non-adiabatic elongational flows of viscoelastic melts. Zbl 0977.76009
Hagen, Thomas; Renardy, Michael
2000
Location of the continuous spectrum in complex flows of the UCM fluid. Zbl 0995.76027
Renardy, Michael
2000
Asymptotic structure of the stress field in flow past a cylinder at high Weissenberg number. Zbl 0967.76010
Renardy, Michael
2000
Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids. Zbl 0956.76025
Wilson, Helen J.; Renardy, Michael; Renardy, Yuriko
1999
Takens-Bogdanov bifurcation on the hexagonal lattice for double-layer convection. Zbl 0948.76021
Renardy, Yuriko Yamamuro; Renardy, Michael; Fujimura, Kaoru
1999
Formability of linearly elastic structures with volume-type actuation. Zbl 0961.74004
Renardy, M.; Russell, D. L.
1999
High Weissenberg number asymptotics and corner singularities in viscoelastic flows. Zbl 0971.76011
Renardy, M.
1999
Bifurcation of traveling waves resulting from resonant mode crossings in oceanic currents. Zbl 0935.76028
Renardy, M.
1999
Instability due to second normal stress jump in two-layer shear flow of the Giesekus fluid. Zbl 0945.76020
Renardy, Yuriko Y.; Renardy, Michael
1999
Failure and nonfailure of fluid filaments in extension. Zbl 0965.76007
Hassager, Ole; Kolte, Mette I.; Renardy, Michael
1998
Well-posedness of the shallow water equations in the presence of a front. Zbl 1008.35051
Renardy, Michael
1998
A model equation for axisymmetric stability of small-gap parallel-plate flows. Zbl 0949.76026
Renardy, Yuriko; Renardy, Michael
1998
Temporal evolution of periodic disturbances in two-layer Couette flow. Zbl 0880.76055
Coward, Adrian V.; Renardy, Yuriko Y.; Renardy, Michael; Richards, John R.
1997
Imposing “no” boundary condition at outflow: why does it work? Zbl 1113.76405
Renardy, Michael
1997
A degenerate parabolic-hyperbolic system modeling the spreading of surfactants. Zbl 0922.35082
Renardy, Michael
1997
An introduction to partial differential equations. Corr. 2nd printing. Zbl 0917.35002
Renardy, Michael; Rogers, Robert C.
1996
A singularly perturbed problem related to surfactant spreading on thin films. Zbl 0862.35091
Renardy, Michael
1996
On an equation describing the spreading of surfactants on thin films. Zbl 0891.76029
Renardy, Michael
1996
Singular value decomposition in Minkowski space. Zbl 0846.15008
Renardy, Michael
1996
...and 75 more Documents
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#### Cited by 2,324 Authors

 68 Renardy, Michael 34 Renardy, Yuriko Yamamuro 18 Lasiecka, Irena 17 Muñoz Rivera, Jaime Edilberto 14 Afkhami, Shahriar 14 Joseph, Daniel D. 13 Chinyoka, Tirivanhu 11 Barrett, John W. 11 Pata, Vittorino 10 Hagen, Thomas C. 10 Mitra, Debanjana 9 Makinde, Oluwole Daniel 9 Quintanilla de Latorre, Ramón 9 Sforza, Daniela 9 Süli, Endre E. 8 Dehghan Takht Fooladi, Mehdi 8 Demir, Ali 8 Jentzen, Arnulf 8 Ozbilge, Ebru 8 Rajagopal, Kumbakonam Ramamani 8 Xu, Da 8 Zhang, Qiong 7 Bulíček, Miroslav 7 Cristini, Vittorio 7 Guo, Bao-Zhu 7 Hanyga, Andrzej 7 Jovanović, Boško S. 7 Kim, Junseok 7 Lee, Hyesuk Kwon 7 Málek, Josef 7 Papageorgiou, Demetrios T. 7 Scardovelli, Ruben 7 Simanovskii, Ilya B. 6 Chowdhury, Shirshendu 6 Ding, Hang 6 Ervin, Vincent J. 6 Gao, Peng 6 Kukavica, Igor 6 Liu, Zhuangyi 6 López, Joaquín 6 Masmoudi, Nader 6 Matar, Omar K. 6 Nepomnyashchy, Alexander A. 6 Nürnberg, Robert 6 Ramaswamy, Mythily 6 Sarkar, Kausik 6 Saut, Jean-Claude 6 Shibata, Yoshihiro 6 Tatar, Nasser-eddine 6 Titi, Edriss Saleh 6 Zaleski, Stéphane 6 Zhang, Zhifei 5 Ahn, Jeongho 5 Avalos, George 5 Baranovskiĭ, Evgeniĭ Sergeevich 5 Conti, Monica C. 5 De Angelis, Monica 5 Duan, Jinqiao 5 Feireisl, Eduard 5 Fernández Sare, Hugo D. 5 Fontelos López, Marco Antonio 5 Fu, Xianlong 5 Garcke, Harald 5 Graham, Michael D. 5 Hasanoǧlu, Alemdar 5 Hernández, Juan José 5 Le Bris, Claude 5 Lelièvre, Tony 5 Loreti, Paola 5 Lowengrub, John Samuel 5 Manservisi, Sandro 5 Nečasová, Šárka 5 Sahu, Kirti Chandra 5 Spelt, Peter D. M. 5 Sussman, Mark 5 Tebou, Louis T. 5 Triggiani, Roberto 5 Vicol, Vlad C. 5 Wang, Dehua 5 Wang, Xiaojun 5 Yang, Xiaofeng 5 Yokoi, Kensuke 5 Zaki, Tamer A. 5 Zhang, Ping 4 Adams, Nikolaus A. 4 Armstrong, Robert C. 4 Ashgriz, Nasser 4 Balachandran, Krishnan 4 Basaran, Osman A. 4 Beris, Antony N. 4 Bothe, Dieter 4 Bresch, Didier 4 Brown, Robert A. 4 Chokshi, Paresh 4 Deka, Bhupen 4 Engler, Hans 4 Feng, James J. 4 Francois, Marianne M. 4 Ganesan, Sashikumaar 4 Georgiou, Georgios C. ...and 2,224 more Authors
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#### Cited in 289 Serials

 124 Journal of Computational Physics 90 Journal of Fluid Mechanics 78 Physics of Fluids 67 Journal of Mathematical Analysis and Applications 67 Journal of Differential Equations 43 Computers and Fluids 43 Journal of Non-Newtonian Fluid Mechanics 31 Archive for Rational Mechanics and Analysis 27 Computer Methods in Applied Mechanics and Engineering 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Applied Mathematics and Computation 21 Physica D 20 Computers & Mathematics with Applications 20 Mathematical Methods in the Applied Sciences 20 European Journal of Mechanics. B. Fluids 18 International Journal for Numerical Methods in Fluids 18 Journal of Integral Equations and Applications 16 Journal of Computational and Applied Mathematics 16 Applied Mathematical Modelling 15 Communications in Mathematical Physics 15 Meccanica 15 Nonlinear Analysis. Real World Applications 15 Journal of Evolution Equations 13 Applicable Analysis 13 Applied Mathematics Letters 12 Journal of Mathematical Physics 12 Journal of Mathematical Fluid Mechanics 11 Theoretical and Computational Fluid Dynamics 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Evolution Equations and Control Theory 10 Physics of Fluids, A 10 Quarterly of Applied Mathematics 10 Transactions of the American Mathematical Society 10 Numerical Methods for Partial Differential Equations 10 Journal of Scientific Computing 10 Communications in Partial Differential Equations 10 Discrete and Continuous Dynamical Systems 9 Acta Mechanica 9 International Journal of Engineering Science 9 Journal of Engineering Mathematics 9 Numerical Functional Analysis and Optimization 9 SIAM Journal on Control and Optimization 9 Applied Numerical Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Discrete and Continuous Dynamical Systems. Series B 8 Rheologica Acta 8 Journal of Functional Analysis 8 Numerische Mathematik 8 European Journal of Applied Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Mathematical Analysis 7 SIAM Journal on Numerical Analysis 7 Acta Applicandae Mathematicae 7 Nonlinear Analysis. Theory, Methods & Applications 6 Advances in Mathematics 6 International Journal for Numerical Methods in Engineering 6 Journal of Dynamics and Differential Equations 6 Journal of Nonlinear Science 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Fluid Dynamics 5 Journal of the Mechanics and Physics of Solids 5 Wave Motion 5 Mathematics of Computation 5 Chaos, Solitons and Fractals 5 Applied Mathematics and Optimization 5 Semigroup Forum 5 Systems & Control Letters 5 Chinese Annals of Mathematics. Series B 5 Mathematical and Computer Modelling 5 SIAM Journal on Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Bulletin of the Australian Mathematical Society 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Calcolo 4 Proceedings of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Elasticity 4 Stochastic Processes and their Applications 4 Continuum Mechanics and Thermodynamics 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Foundations of Computational Mathematics 4 Communications on Pure and Applied Analysis 4 SIAM Journal on Applied Dynamical Systems 4 Central European Journal of Mathematics 4 Advances in Difference Equations 4 Science China. Mathematics 3 Communications on Pure and Applied Mathematics 3 General Relativity and Gravitation 3 Rocky Mountain Journal of Mathematics 3 Bulletin of Mathematical Biology 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Automatica 3 Integral Equations and Operator Theory 3 Mathematics and Computers in Simulation ...and 189 more Serials
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#### Cited in 47 Fields

 899 Fluid mechanics (76-XX) 679 Partial differential equations (35-XX) 268 Numerical analysis (65-XX) 255 Mechanics of deformable solids (74-XX) 117 Integral equations (45-XX) 104 Systems theory; control (93-XX) 98 Operator theory (47-XX) 62 Ordinary differential equations (34-XX) 54 Dynamical systems and ergodic theory (37-XX) 49 Probability theory and stochastic processes (60-XX) 48 Biology and other natural sciences (92-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 46 Statistical mechanics, structure of matter (82-XX) 42 Classical thermodynamics, heat transfer (80-XX) 22 Geophysics (86-XX) 19 Optics, electromagnetic theory (78-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Functional analysis (46-XX) 11 Quantum theory (81-XX) 9 Relativity and gravitational theory (83-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 6 Functions of a complex variable (30-XX) 6 Integral transforms, operational calculus (44-XX) 6 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 3 Operations research, mathematical programming (90-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX)