Vanishing Perturbations of Hyperbolic Equations
Well-posedness of the initial value problem u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x; u(x,0)=u_0(x). Then, as \eps, \del tend to 0, we prove convergence of the previous solutions to the entropy weak solution of the initial value problem u_t+f(u)_x=0; u(x,0)=u_0(x).
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| Format: | lecture |
| Language: | eng |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/10174/13673 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/13673 |
| Summary: | Well-posedness of the initial value problem u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x; u(x,0)=u_0(x). Then, as \eps, \del tend to 0, we prove convergence of the previous solutions to the entropy weak solution of the initial value problem u_t+f(u)_x=0; u(x,0)=u_0(x). |
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