Parabolic - hyperbolic boundary layer

2012/07/09 by Monica De Angelis, De Angelis, Monica
Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.1207.2191

openalex publication_date 2012/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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