Stability of under-compressive waves with second and fourth order diffusions (Q953811)
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scientific article; zbMATH DE number 5362912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of under-compressive waves with second and fourth order diffusions |
scientific article; zbMATH DE number 5362912 |
Statements
Stability of under-compressive waves with second and fourth order diffusions (English)
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6 November 2008
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The author considers the multidimensional conservation law regularized with second and fourth order diffusions. The system arises as a thin film model. It is assumed that planar traveling wave solutions exist. Additional assumptions of regularity, non-sonicity, and parabolicity are made. The nonlinear stability of under-compressible waves in dimensions \(d\geq 2\) under general spectral conditions is established.
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thin film equation
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conservation laws
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under-compressive waves
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regularization
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stability
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