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Boundary layers in parabolic perturbations of scalar conservation laws
Authors:Hermano?Frid  author-information"  >  author-information__contact u-icon-before"  >  mailto:hermano@impa.br"   title="  hermano@impa.br"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Vladimir?Shelukhin
Affiliation:(1) Instituto de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, Brasil;(2) Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia
Abstract:We consider the problem of estimating the boundary layerthickness for vanishing viscosity solutions of boundary valueproblems for parabolic perturbations of a scalar conservation lawin a space strip in Rd. For the boundary layer thicknessdelta(epsi)we obtain that one can takedelta(epsi)= epsir,for any r<1/2,arbitrarily close to 1/2.
Keywords:Primary: 35L65  Secondary: 35B35  35B40
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