Shear layer solutions of incompressible MHD and dynamo effect
David Gérard-Varet, Frédéric Rousset (2007)
Annales de l'I.H.P. Analyse non linéaire
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David Gérard-Varet, Frédéric Rousset (2007)
Annales de l'I.H.P. Analyse non linéaire
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Marc Dambrine, Grégory Vial (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, we consider singular perturbations of the boundary of a smooth domain. We describe the asymptotic behavior of the solution u of a second order elliptic equation posed in the perturbed domain with respect to the size parameter of the deformation. We are also interested in the variations of the energy functional. We propose a numerical method for the approximation of u based on a multiscale superposition of the unperturbed solution and a profile defined...
A. Malchiodi, Wei-Ming Ni, Juncheng Wei (2005)
Annales de l'I.H.P. Analyse non linéaire
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