Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations

E. Grenier

doi:10.1016/S0021-7824(97)89979-5

Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations

E. Grenier^*

^*Corresponding author for this work

CNRS

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper we study boundary layers of nonlinear characteristic parabolic equations as the viscosity goes to zero. We obtain and justify in small time a complete expansion of the solution with respect to the viscosity.

Original language	English
Pages (from-to)	965-990
Number of pages	26
Journal	Journal des Mathematiques Pures et Appliquees
Volume	76
Issue number	10
DOIs	https://doi.org/10.1016/S0021-7824(97)89979-5
Publication status	Published - Dec 1997
Externally published	Yes

Keywords

Boundary layers
Parabolic equations

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10.1016/S0021-7824(97)89979-5

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title = "Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations",

abstract = "In this paper we study boundary layers of nonlinear characteristic parabolic equations as the viscosity goes to zero. We obtain and justify in small time a complete expansion of the solution with respect to the viscosity.",

keywords = "Boundary layers, Parabolic equations",

author = "E. Grenier",

year = "1997",

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AB - In this paper we study boundary layers of nonlinear characteristic parabolic equations as the viscosity goes to zero. We obtain and justify in small time a complete expansion of the solution with respect to the viscosity.

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KW - Parabolic equations

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DO - 10.1016/S0021-7824(97)89979-5

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JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 10

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Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations

Abstract

Keywords

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