An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
Christoph Scheven (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Energy concentration for the Landau–Lifshitz equation”
An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
Helmut Abels, Matthias Röger (2009)
Annales de l'I.H.P. Analyse non linéaire
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Evolutionary problems in non-reflexive spaces
Martin Kružík, Johannes Zimmer (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.
A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
Gisella Croce, Catherine Lacour, Gérard Michaille (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an -neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
DiPerna-Majda measures and uniform integrability
Martin Kružík (1998)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this note is to discuss the relationship among Rosenthal's modulus of uniform integrability, Young measures and DiPerna-Majda measures. In particular, we give an explicit characterization of this modulus and state a criterion of the uniform integrability in terms of these measures. Further, we show applications to Fatou's lemma.