Existence and attractors of solutions for nonlinear parabolic systems.
El Hachimi, A., El Quardi, H. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Backward solutions to nonlinear integro-differential systems”
Existence and attractors of solutions for nonlinear parabolic systems.
On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories
Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Uniqueness of solutions to a system of differential inclusions.
Wang, Chunpeng, Yin, Jingxue (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Existence of weak solutions for a nonlinear elliptic system.
Fang, Ming, Gilbert, Robert P. (2009)
Boundary Value Problems [electronic only]
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The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation
Jiaqing Pan (2011)
Open Mathematics
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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.
On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification.
Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid
Jiří Neustupa (1988)
Aplikace matematiky
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The paper contains the proof of global existence of weak solutions to the mixed initial-boundary value problem for a certain modification of a system of equations of motion of viscous compressible fluid. The modification is based on an application of an operator of regularization to some terms appearing in the system of equations and it does not contradict the laws of fluid mechanics. It is assumed that pressure is a known function of density. The method of discretization in time is...
The energy method for elastic problems with non-homogeneous boundary conditions
Ramon Quintanilla (2002)
International Journal of Applied Mathematics and Computer Science
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In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder....