Propagation and interaction of shock waves of quasilinear equation (Q2763901)
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scientific article; zbMATH DE number 1693373
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Propagation and interaction of shock waves of quasilinear equation |
scientific article; zbMATH DE number 1693373 |
Statements
6 April 2003
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weak asymptotic method
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one-dimensional case
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0.92099917
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0.91559505
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0.9132805
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0.9077678
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0.90312666
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0.9000881
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Propagation and interaction of shock waves of quasilinear equation (English)
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This paper deals with the weak asymptotic method to study the dynamics of propagation and interaction of shock waves for quasilinear equations in the one-dimensional case. Asymptotic solutions are given and the dynamics of the shock wave merging process is described. It is remarked that the method is also applicable for solving a similar problem in the case of systems of first-order quasilinear equations in one dimension. The paper may be of interest to someone interested in the problem of nonlinear wave interactions for quasilinear equations and systems.
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