Κ. R. Rajagopal

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All published works

Action	Title	Year	Authors
+ PDF Chat	The conclusion that metamaterials could have negative mass is a consequence of improper constitutive characterisation	2024	David Cichra Vít Průša Κ. R. Rajagopal Casey Rodriguez Martin Vejvoda
+ PDF Chat	Piecewise linear constitutive relations for stretch-limited elastic strings	2024	R. Bustamante Κ. R. Rajagopal Casey Rodriguez
+	Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	2024	Pablo Alexei Gazca‐Orozco Josef Málek Κ. R. Rajagopal
+	17 Nonstandard approach to elasticity	2023	Κ. R. Rajagopal
+	14 Complex variable methods	2023	Κ. R. Rajagopal
+ PDF Chat	On a methodology to determine whether the fluid slips adjacent to a solid surface	2023	Josef Málek Κ. R. Rajagopal
+ PDF Chat	Special Cosserat rods with rate-dependent evolving natural configurations	2023	Κ. R. Rajagopal Casey Rodriguez
+ PDF Chat	A generalization of the classical Euler and Korteweg fluids	2023	Κ. R. Rajagopal
+ PDF Chat	On an elastic strain-limiting special Cosserat rod model	2023	Κ. R. Rajagopal Casey Rodriguez
+	A generalization of the classical Euler and Korteweg Fluids	2023	Κ. R. Rajagopal
+	Special Cosserat rods with rate-dependent evolving natural configurations	2023	Κ. R. Rajagopal C. Rodriguez
+	On a methodology to determine whether the fluid slips adjacent to a solid surface	2023	Josef Málek Κ. R. Rajagopal
+	Development of boundary layers in Euler fluids that on "activation'' respond like Navier-Stokes fluids	2023	Pablo Alexei Gazca–Orozco Josef Málek Κ. R. Rajagopal
+	On a methodology to determine Navier's slip-parameter in Navier-Stokes fluid flows at a solid boundary	2023	Josef Málek Κ. R. Rajagopal
+ PDF Chat	Logarithmic convexity for third order in time partial differential equations	2022	José R. Fernández R. Quintanilla Κ. R. Rajagopal
+ PDF Chat	On Evolving Natural Curvature for an Inextensible, Unshearable, Viscoelastic Rod	2022	Κ. R. Rajagopal Casey Rodriguez
+ PDF Chat	Finite element approximation of steady flows of colloidal solutions	2021	Andrea Bonito Vivette Girault Diane Guignard Κ. R. Rajagopal Endre Süli
+ PDF Chat	Implicit Type Constitutive Relations for Elastic Solids and Their Use in the Development of Mathematical Models for Viscoelastic Fluids	2021	Vít Průša Κ. R. Rajagopal
+	Finite Element Approximation of Steady Flows of Colloidal Solutions	2021	Andrea Bonito Vivette Girault Diane Guignard Κ. R. Rajagopal Endre Süli
+	An implicit constitutive relation in which the stress and the linearized strain appear linearly, for describing the small displacement gradient response of elastic solids	2021	Κ. R. Rajagopal
+	Finite Element Approximation of Steady Flows of Colloidal Solutions	2021	Andrea Bonito Vivette Girault Diane Guignard Κ. R. Rajagopal Endre Süli
+ PDF Chat	A thermodynamic framework for additive manufacturing, using amorphous polymers, capable of predicting residual stress, warpage and shrinkage	2020	P. Sreejith K. Kannan Κ. R. Rajagopal
+	ON THE DERIVATION OF REYNOLDS-TYPE EQUATION FOR FLOWS THROUGH POROUS MEDIA DUE TO PRESSURE GRADIENTS	2020	Gabriel E. Pires Κ. R. Rajagopal Juha Videman
+ PDF Chat	On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion	2020	Jan Blechta Josef Málek Κ. R. Rajagopal
+ PDF Chat	Motion of a finite composite cylindrical annulus comprised of nonlinear elastic solids subject to periodic shear	2019	Chandler C. Benjamin Manoj Myneni Anastasia Muliana Κ. R. Rajagopal
+ PDF Chat	The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies	2019	Vojtěch Kulvait Josef Málek Κ. R. Rajagopal
+ PDF Chat	An adaptive finite element method for the inequality-constrained Reynolds equation	2018	Tom Gustafsson Κ. R. Rajagopal Rolf Stenberg Juha Videman
+ PDF Chat	Numerical simulations of an incompressible piezoviscous fluid flowing in a plane slider bearing	2017	Martin Lanzendörfer Josef Málek Κ. R. Rajagopal
+ PDF Chat	Wave patterns in a nonclassic nonlinearly-elastic bar under Riemann data	2017	Shoujun Huang Κ. R. Rajagopal Hui–Hui Dai
+	On power-law fluids with the power-law index proportional to the pressure	2016	Josef Málek Κ. R. Rajagopal Josef Žabenský
+	On the response of physical systems governed by non-linear ordinary differential equations to step input	2016	Vít Průša Κ. R. Rajagopal
+	Short Survey on the Theory of Grade-Three Fluids	2016	Doina Cioranescu Vivette Girault Κ. R. Rajagopal
+	Mathematical Preliminaries	2016	D. Cioranescu V. Girault Κ. R. Rajagopal
+ PDF Chat	Nonlinear Reynolds equation for hydrodynamic lubrication	2015	Tom Gustafsson Κ. R. Rajagopal Rolf Stenberg Juha Videman
+	Particle-free bodies and point-free spaces	2013	Κ. R. Rajagopal
+	Unsteady flows of a class of novel generalizations of the Navier–Stokes fluid	2013	S. P. Atul Narayan Κ. R. Rajagopal
+ PDF Chat	Mechanical oscillators described by a system of differential-algebraic equations	2012	Dalibor Pražák Κ. R. Rajagopal
+	On Kelvin-Voigt model and its generalizations	2012	Miroslav Bulíček Josef Málek Κ. R. Rajagopal
+ PDF Chat	A model for the thermo-oxidative degradation of polyimides	2011	Satish Karra Κ. R. Rajagopal
+	Further mathematical results concerning Burgers fluids and their generalizations	2011	R. Quintanilla Κ. R. Rajagopal
+ PDF Chat	Degradation and healing in a generalized neo-Hookean solid due to infusion of a fluid	2011	Satish Karra Κ. R. Rajagopal
+	On the need for compatibility of thermal and mechanical data in flow problems	2011	Miroslav Bulíček Josef Málek Κ. R. Rajagopal
+ PDF Chat	On Maxwell fluids with relaxation time and viscosity depending on the pressure	2011	Satish Karra Vít Průša Κ. R. Rajagopal
+	Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions	2011	Vít Průša Κ. R. Rajagopal
+ PDF Chat	A model for the degradation of polyimides due to oxidation	2010	Satish Karra Κ. R. Rajagopal
+ PDF Chat	Modeling the non-linear viscoelastic response of high temperature polyimides	2010	Satish Karra Κ. R. Rajagopal
+	On modeling the response of the synovial fluid: Unsteady flow of a shear-thinning, chemically-reacting fluid mixture	2010	Craig A. Bridges Satish Karra Κ. R. Rajagopal
+	Further remarks on simple flows of fluids with pressure-dependent viscosities	2010	J. Hron Josef Málek Vít Průša Κ. R. Rajagopal
+ PDF Chat	A numerical study of fluids with pressure‐dependent viscosity flowing through a rigid porous medium	2010	K. B. Nakshatrala Κ. R. Rajagopal
+ PDF Chat	On the vibrations of lumped parameter systems governed by differential-algebraic equations	2009	S. Darbha K. B. Nakshatrala Κ. R. Rajagopal
+ PDF Chat	A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity	2009	Satish Karra Κ. R. Rajagopal
+ PDF Chat	Development of three dimensional constitutive theories based on lower dimensional experimental data	2009	Satish Karra Κ. R. Rajagopal
+ PDF Chat	Mathematical Analysis of Unsteady Flows of Fluids with Pressure, Shear-Rate, and Temperature Dependent Material Moduli that Slip at Solid Boundaries	2009	Miroslav Bulíček Josef Málek Κ. R. Rajagopal
+	On the vibrations of lumped parameter systems governed by differential-algebraic equations	2009	Swaroop Darbha K. B. Nakshatrala Κ. R. Rajagopal
+	A numerical study of fluids with pressure dependent viscosity flowing through a rigid porous medium	2009	K. B. Nakshatrala Κ. R. Rajagopal
+	Bodies, Configurations, and Motions	2009	C. Truesdell Κ. R. Rajagopal
+	Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity	2007	Josef Málek Miroslav Bulíček Κ. R. Rajagopal
+	A new computational approach to the synthesis of fixed order controllers	2007	Κ. R. Rajagopal Swaroop Darbha Waqar Malik
+	UNSTEADY EXACT SOLUTION FOR FLOWS OF FLUIDS WITH PRESSURE-DEPENDENT VISCOSITIES	2006	Κ. R. Rajagopal G. Saccomandi
+	Mathematical Issues Concerning the Navier–Stokes Equations and Some of Its Generalizations	2005	Josef Málek Κ. R. Rajagopal
+	On steady flows of fluids with pressure– and shear–dependent viscosities	2004	Michal Franta Josef Málek Κ. R. Rajagopal
+	Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities	2003	J. Hron Josef Málek J. Nečas Κ. R. Rajagopal
+	Global Analysis of the Flows of Fluids with Pressure-Dependent Viscosities	2002	Josef Málek Jindřich Nečas Κ. R. Rajagopal
+	Global existence of solutions for flows of fluids with pressure and shear dependent viscosities	2002	Josef Málek J. Nečas Κ. R. Rajagopal
+ PDF Chat	Aggregation of a Class of Large-Scale, Interconnected, Nonlinear Dynamical Systems	2000	Swaroop Darbha Κ. R. Rajagopal
+	Slow motion of a body in a fluid of second grade	1997	Giovanni P. Galdi Κ. R. Rajagopal
+	ON THE OBERBECK-BOUSSINESQ APPROXIMATION	1996	Κ. R. Rajagopal Michael Růžička Arun R. Srinivasa
+	ON BOUNDARY CONDITIONS IN MIXTURE THEORY	1995	Tao Liu Κ. R. Rajagopal
+	ON SOME UNSTEADY MOTIONS OF FLUIDS OF SECOND GRADE	1995	R. Bandelli Κ. R. Rajagopal Giovanni P. Galdi
+	Circular shearing and torsion of generalized neo-Hookean materials	1992	Liyuan Tao Κ. R. Rajagopal Alan Wineman
+	On the conditional stability of the rest state of a fluid of second grade in unbounded domains	1990	Giovanni P. Galdi M. Padula Κ. R. Rajagopal
+	On boundary conditions for a certain class of problems in mixture theory	1986	Κ. R. Rajagopal Alan Wineman M. V. Gandhi
+	A class of exact solutions to the Navier-Stokes equations	1984	Κ. R. Rajagopal
+	On the existence of a manifold for temperature	1983	Roger Fosdick Κ. R. Rajagopal
+	On a Viscometric Flow of a Simple Fluid.	1983	Κ. R. Rajagopal
+	A boundary integral method for some laminar forced convection problems	1983	A. Mir-Mohamad-Sadegh Κ. R. Rajagopal
+ PDF Chat	A note on the temperature dependence of the normal stress moduli	1981	Κ. R. Rajagopal Alan Wineman
+	The Flow of a Non-Newtonian Fluid Past Projections and Depressions	1980	A. Mir-Mohamad-Sadegh Κ. R. Rajagopal
+	Anomalous features in the model of “second order fluids”	1979	Roger Fosdick Κ. R. Rajagopal

Common Coauthors

Coauthor	Papers Together
Josef Málek	19
Satish Karra	8
Vít Průša	6
Casey Rodriguez	5
Vivette Girault	4
Miroslav Bulíček	4
K. B. Nakshatrala	4
Endre Süli	3
Juha Videman	3
Diane Guignard	3
Giovanni P. Galdi	3
Alan Wineman	3
Swaroop Darbha	3
J. Nečas	2
R. Quintanilla	2
Pablo Alexei Gazca–Orozco	2
Roger Fosdick	2
Tom Gustafsson	2
Andrea Bonito	2
J. Hron	2
A. Mir-Mohamad-Sadegh	2
Rolf Stenberg	2
Craig A. Bridges	1
Martin Lanzendörfer	1
Anastasia Muliana	1
P. Sreejith	1
M. V. Gandhi	1
R. Bandelli	1
Jan Blechta	1
K. Kannan	1
Arun R. Srinivasa	1
Manoj Myneni	1
Gabriel E. Pires	1
Liyuan Tao	1
Tao Liu	1
M. Padula	1
Jindřich Nečas	1
Martin Vejvoda	1
S. P. Atul Narayan	1
Dalibor Pražák	1
José R. Fernández	1
Doina Cioranescu	1
G. Saccomandi	1
V. Girault	1
David Cichra	1
Vojtěch Kulvait	1
C. Truesdell	1
Josef Žabenský	1
S. Darbha	1
C. Rodriguez	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Global Analysis of the Flows of Fluids with Pressure-Dependent Viscosities	2002	Josef Málek Jindřich Nečas Κ. R. Rajagopal	8
+	Weak and Measure-valued Solutions to Evolutionary PDEs	2019	Josef Málek J. Nečas Mirko Rokyta Michael Růžička	8
+	Somk remarks on the navier-stokes equations with a pressure-dependent viscosity	1986	Michael Renardy	7
+	A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity	1997	Filippo Gazzola	6
+	On steady flows of fluids with pressure– and shear–dependent viscosities	2004	Michal Franta Josef Málek Κ. R. Rajagopal	6
+	Mathematical Issues Concerning the Navier–Stokes Equations and Some of Its Generalizations	2005	Josef Málek Κ. R. Rajagopal	6
+	Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities	2003	J. Hron Josef Málek J. Nečas Κ. R. Rajagopal	5
+	Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity	2007	Josef Málek Miroslav Bulíček Κ. R. Rajagopal	5
+	An existence result for fluids with shear dependent viscosity — Steady flows	1997	Jens Frehse Josef Málek Mark Steinhauer	4
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions	4
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	4
+	On Unsteady Flows of Implicitly Constituted Incompressible Fluids	2012	Miroslav Bulíček Piotr Gwiazda Josef Málek Agnieszka Świerczewska-Gwiazda	4
+	Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity	2011	A. Hirn Martin Lanzendörfer Jan Stebel	3
+ PDF Chat	Development of three dimensional constitutive theories based on lower dimensional experimental data	2009	Satish Karra Κ. R. Rajagopal	3
+	Weak and Measure-valued Solutions to Evolutionary PDEs	1996	Josef Málek J. Nečas M. Rokyta Michael Růžička	3
+ PDF Chat	Mathematical Analysis of Unsteady Flows of Fluids with Pressure, Shear-Rate, and Temperature Dependent Material Moduli that Slip at Solid Boundaries	2009	Miroslav Bulíček Josef Málek Κ. R. Rajagopal	3
+	On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method	2003	Jens Frehse Josef Málek Mark Steinhauer	3
+	CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT	1976	M. Atkinson R. E. Craine	3
+ PDF Chat	On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion	2020	Jan Blechta Josef Málek Κ. R. Rajagopal	3
+ PDF Chat	Finite element approximation of a strain-limiting elastic model	2018	Andrea Bonito Vivette Girault Endre Süli	3
+ PDF Chat	On a Navier–Stokes–Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions	2017	Erika Maringová Josef Žabenský	3
+	Weak and measure-valued solutions to evolutionary PDEs	1997		3
+	Generalized Functions and Partial Differential Equations	1964	Prof. Dr. Khalid L. Avner Friedman	2
+ PDF Chat	Nonlinear Reynolds equation for hydrodynamic lubrication	2015	Tom Gustafsson Κ. R. Rajagopal Rolf Stenberg Juha Videman	2
+	Internal Flows of Incompressible Fluids Subject to Stick-Slip Boundary Conditions	2016	Miroslav Bulíček Josef Málek	2
+	Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations	1998	Uri M. Ascher Linda Petzold	2
+ PDF Chat	On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$	2001	Josef Málek J. Nečas Michael Růžička	2
+ PDF Chat	The Order Completion Method for Systems of Nonlinear PDEs Revisited	2008	Jan Harm van der Walt	2
+	On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications	2007	Lars Diening Josef Málek Mark Steinhauer	2
+ PDF Chat	Modeling the non-linear viscoelastic response of high temperature polyimides	2010	Satish Karra Κ. R. Rajagopal	2
+	EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY	1995	Josef Málek Κ. R. Rajagopal Michael Růžička	2
+ PDF Chat	ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES	1963	George J. Minty	2
+	On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary	2016	Miroslav Bulíček Josef Málek	2
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	2
+	Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations	1992	Lucio Boccardo François Murat	2
+	Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids<sup>1</sup>	1994	Hamid Bellout Frederick Bloom Jindřich Nečas	2
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	2
+	Discontinuous Galerkin methods for solving elliptic and parabolic equations : theory and implementation	2008	Béatrice Rivière	2
+	On ideal multiphase mixtures with chemical reactions and diffusion	1980	Jace W. Nunziato E. K. Walsh	2
+	Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions	2011	Vít Průša Κ. R. Rajagopal	2
+ PDF Chat	Solving large classes of nonlinear systems of PDEs	2007	Roumen Anguelov Elemér E Rosinger	2
+ PDF Chat	Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology	2013	Lars Diening Christian Kreuzer Endre Süli	2
+	Circular shearing and torsion of generalized neo-Hookean materials	1992	Liyuan Tao Κ. R. Rajagopal Alan Wineman	2
+	ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS	1993	Josef Málek Jindřich Nečas Michael Růžička	2
+	Anomalous features in the model of “second order fluids”	1979	Roger Fosdick Κ. R. Rajagopal	2
+	On the dimension of the attractor for a class of fluids with pressure dependent viscosities	2005	Miroslav Bulíček Josef Málek Dalibor Pražák	2
+	Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side	1967	Alexander Filippov	2
+	Splitting Algorithms for the Sum of Two Nonlinear Operators	1979	Pierre‐Louis Lions Bertrand Mercier	2
+	Basic error estimates for elliptic problems	1991	Philippe G. Ciarlet	2
+	Existence of Weak Solutions to the Equations of Non-Stationary Motion of Non-Newtonian Fluids with Shear Rate Dependent Viscosity	2006	Jörg Wolf	2