On the Cauchy problem of some dissipative flows (Q1381598)
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scientific article; zbMATH DE number 1130512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Cauchy problem of some dissipative flows |
scientific article; zbMATH DE number 1130512 |
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On the Cauchy problem of some dissipative flows (English)
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1 July 1998
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The heat conducting gas dynamics equations are considered in Lagrangian coordinates. The effects of damping relaxation and electricity are incorporated, with electric field gradient equal to specific volume up to a given function, the doping profile, depending on the space coordinate only. The Cauchy problem is studied and the local existence of the classical solution is investigated. The gradient catastrophe is shown to occur.
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hyperbolic system
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gradient catastrophe
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heat conduction
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heat conducting gas dynamics equations
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damping relaxation
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electricity
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Cauchy problem
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