The decay and formation of one-dimensional nonconservative shocks (Q1102780)
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scientific article; zbMATH DE number 4051101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The decay and formation of one-dimensional nonconservative shocks |
scientific article; zbMATH DE number 4051101 |
Statements
The decay and formation of one-dimensional nonconservative shocks (English)
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1988
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The method of singular surfaces is used to obtain explicit conditions under which a one-dimensional acceleration wave develops into a shock when some dissipation mechanism is present. The conditions which secure the initial growth of the strong shock wave propagating into an undeformed nonlinear and dissipative medium are also derived. The analysis is presented for a single-balance law, one-dimensional elasticity, and the nonlinear Maxwellian continuum.
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nonconservative hyperbolic systems
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existence of global solutions
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shock formation
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nonlinear partial differential equations
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one-dimensional acceleration wave
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dissipation
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single-balance law
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one-dimensional elasticity
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nonlinear Maxwellian continuum
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