Parabolic - hyperbolic boundary layer

Published 9 Jul 2012 in math-ph, cond-mat.supr-con, and math.MP | (1207.2191v1)

Abstract: A boundary value problem related to a parabolic higher order operator with a small parameter is analized. When the small parameter tends to zero, the reduced operator is hyperbolic. When t tends to infinity a parabolic hyperbolic boundary layer appears. In this paper a rigorous asymptotic approximation uniformly valid for all t is established.

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Monica De Angelis

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