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arxiv: 1207.2191 · v1 · pith:DSF7UD6Knew · submitted 2012-07-09 · 🧮 math-ph · cond-mat.supr-con· math.MP

Parabolic - hyperbolic boundary layer

classification 🧮 math-ph cond-mat.supr-conmath.MP
keywords boundaryhyperbolicparaboliclayeroperatorparametersmalltends
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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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