A remark on uniqueness for quasilinear elliptic equations
N. André, M. Chipot (1996)
Banach Center Publications
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N. André, M. Chipot (1996)
Banach Center Publications
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Liu, Changchun (2005)
Boletín de la Asociación Matemática Venezolana
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Boris Haspot (2009)
Annales mathématiques Blaise Pascal
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This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [
J. I. Díaz (2001)
Extracta Mathematicae
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Myriam Lecumberry (2005)
Journées Équations aux dérivées partielles
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After a short introduction on micromagnetism, we will focus on a scalar micromagnetic model. The problem, which is hyperbolic, can be viewed as a problem of Hamilton-Jacobi, and, similarly to conservation laws, it admits a kinetic formulation. We will use both points of view, together with tools from geometric measure theory, to prove the rectifiability of the singular set of micromagnetic configurations.
Angel Castro, Diego Córdoba, Francisco Gancedo (2010)
Journées Équations aux dérivées partielles
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We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.
Philippe Laurençot (2000)
Banach Center Publications
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Gary Lieberman (1996)
Banach Center Publications
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Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani (2008)
Journées Équations aux dérivées partielles
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This paper deals with the global well-posedness of the D axisymmetric Euler equations for initial data lying in critical Besov spaces . In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity .