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Existence and asymptotic behavior for a singular parabolic equation
(Amer Mathematical SocProvidenceEUA, 2005)
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2011-10-01)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Continuity of attractors for parabolic problems with localized large diffusion
(PERGAMON-ELSEVIER SCIENCE LTD, 2008)
In this paper we study the continuity of asymptotics of semilinear parabolic problems of the form u(t) - div(p(x)del u) + lambda u =f(u) in a bounded smooth domain ohm subset of R `` with Dirichlet boundary conditions when ...
Patterns in parabolic problems with nonlinear boundary conditions
(Elsevier B.V., 2007-01-15)
We obtain existence of asymptotically stable nonconstant equilibrium solutions for semilinear parabolic equations with nonlinear boundary conditions on small domains connected by thin channels. We prove the convergence of ...
Patterns in parabolic problems with nonlinear boundary conditions
(Elsevier B.V., 2007-01-15)
We obtain existence of asymptotically stable nonconstant equilibrium solutions for semilinear parabolic equations with nonlinear boundary conditions on small domains connected by thin channels. We prove the convergence of ...