Relative entropy in diffusive relaxation (Q2843460)
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scientific article; zbMATH DE number 6200941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative entropy in diffusive relaxation |
scientific article; zbMATH DE number 6200941 |
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22 August 2013
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isentropic gas dynamics
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diffusive limit
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entropy solutions
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Relative entropy in diffusive relaxation (English)
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The authors consider the system of isentropic gas dynamics with friction and the diffusive limit of it, being a single porous media equation for the density. Weak entropy solutions of this system are compared directly to a smooth solutions of the limit equation using a relative entropy analysis of the Lyapunov type. This provides a convergence to solutions of the equation that stay away from vacuum. The rate of convergence is estimated. The method is applied also to other types of systems, including the \(p\)-system with damping and viscoelasticity of the memory type.
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