A hyperbolic free boundary problem: Existence, uniqhenfss and discretization

Martin Brokate

doi:10.1080/01630568208816139

A hyperbolic free boundary problem: Existence, uniqhenfss and discretization

Martin Brokate

University Hospital Augsburg

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

3 Scopus citations

Abstract

For a one phase free boundary problem for a linear hyperbolic system with constant coefficients in one space dimension with nonlinear boundary conditions we prove existence, uniqueness and continuous dependence of a Lipschitz continuous solution using the method of characteristics. A semidiscrete version of front tracking is shown to be linearly convergent.

Original language	English
Pages (from-to)	217-248
Number of pages	32
Journal	Numerical Functional Analysis and Optimization
Volume	5
Issue number	2
DOIs	https://doi.org/10.1080/01630568208816139
State	Published - 1 Jan 1982
Externally published	Yes

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abstract = "For a one phase free boundary problem for a linear hyperbolic system with constant coefficients in one space dimension with nonlinear boundary conditions we prove existence, uniqueness and continuous dependence of a Lipschitz continuous solution using the method of characteristics. A semidiscrete version of front tracking is shown to be linearly convergent.",

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AB - For a one phase free boundary problem for a linear hyperbolic system with constant coefficients in one space dimension with nonlinear boundary conditions we prove existence, uniqueness and continuous dependence of a Lipschitz continuous solution using the method of characteristics. A semidiscrete version of front tracking is shown to be linearly convergent.

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ER -

A hyperbolic free boundary problem: Existence, uniqhenfss and discretization

Abstract

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