Preface, Contents, List of Lectures
(2000)
Banach Center Publications
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Displaying similar documents to “On a Decay Property of Weak Solution for Semilinear Evolution Equation of Parabolic Type and Its Applications.”
Preface, Contents, List of Lectures
On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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Asymptotics of parabolic equations with possible blow-up
Radosław Czaja (2004)
Colloquium Mathematicae
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We describe the long-time behaviour of solutions of parabolic equations in the case when some solutions may blow up in a finite or infinite time. This is done by providing a maximal compact invariant set attracting any initial data for which the corresponding solution does not blow up. The abstract result is applied to the Frank-Kamenetskii equation and the N-dimensional Navier-Stokes system with small external force.
On Energy Inequality, Smoothness and Large Time Behavior in L2 for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Hermann Sohr, Tetsuro Miyakawa (1988)
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On the Asypmptotic Behaviour of Solutions of Nonlinear Parabolic Equations.
Michael Wiegner (1984/85)
Mathematische Zeitschrift
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Uniqueness of positive weak solutions of second order parabolic equations
D. G. Aronson (1965)
Annales Polonici Mathematici
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On L2 Decay of Weak Solutions of the Navier-Stokes Equations in Rn.
Tetsuro Miyakawa, Ryuju Kajukiya (1986)
Mathematische Zeitschrift
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On the global attractors for a class of semilinear degenerate parabolic equations
Cung The Anh, Nguyen Dinh Binh, Le Thi Thuy (2010)
Annales Polonici Mathematici
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We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.
Abstract methods in differential equations.
Herbert Amann (2003)
RACSAM
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This is an expanded version, enriched by references, of my inaugural speech held on November 7, 2001 at the Real Academia de Ciencas Exactas, Físicas y Naturales in Madrid. It explains in a nontechnical way, accessible to a general scientific community, some of the motivation and basic ideas of my research of the last twenty years on a functional-analytical approach to nonlinear parabolic problems.
Lyapunov Functions for Weak Solutions of Reaction-Diffusion Equations with Discontinuous Interaction Functions and its Applications
Mark O. Gluzman, Nataliia V. Gorban, Pavlo O. Kasyanov (2015)
Nonautonomous Dynamical Systems
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In this paper we investigate additional regularity properties for global and trajectory attractors of all globally defined weak solutions of semi-linear parabolic differential reaction-diffusion equations with discontinuous nonlinearities, when initial data uτ ∈ L2(Ω). The main contributions in this paper are: (i) sufficient conditions for the existence of a Lyapunov function for all weak solutions of autonomous differential reaction-diffusion equations with discontinuous and multivalued...
A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
Francis Ribaud (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Time-dependent coupling of Navier–Stokes and Darcy flows
Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries.
Hideo Kozono, Takayoshi Ogawa (1994)
Mathematische Zeitschrift
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