\(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux (Q2224707)
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| Language | Label | Description | Also known as |
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| English | \(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux |
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\(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux (English)
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4 February 2021
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The author proves \(L^2\)-stability (up to a shift) of viscous shock solutions of a scalar viscous conservation law \(u_t+f(u)_x=u_{xx}\) with a strictly convex flux \(f\). For the proof the weighted relative entropy method is utilized.
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scalar viscous conservation laws
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strictly convex flux
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viscous shocks
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relative entropy
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contraction up to a shift
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