2. Setting of the general problem and preliminaries

Stability analysis and exit problem formulation in a 2D model for general anesthesia Pedro Garcia-Rodriguez and Axel Hutt.. INRIA CR Nancy-Grand Est, Equipe

Close to the sum of two remote solitary waves, it turns out that only the components of the initial data in the unstable direction of each ground state are relevant in the large

Using this characterization, we analyze the dependence of the spreading speed on various parameters, including diffusion rates and the size and shape of the section of the domain..

Therefore there exists a weak residual nematic ordering (called also paranematic state) at temperatures even far above the bulk isotropic-to-nematic phase transition. It

We study global minimizers of a continuum Landau-de Gennes energy functional for nematic liquid crystals, in three-dimensional domains, under a Dirichlet boundary condition.. In

To summarize the current state of the art, the convergence of the discrete penalized solution towards both the solution to the penalized problem and of the Signorini problem are

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We analyze the radially symmetric solution corresponding to the vortex defect (the so called melting hedgehog) in Landau - de Gennes theory for nematic liquid crystals.. We