2020 / September Volume 15 No.3
N-waves for Conservation Laws with Linear Degeneracy
| Published Date |
2020 / September
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|---|---|
| Title | N-waves for Conservation Laws with Linear Degeneracy |
| Author | |
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| Download | |
| Pagination | 187-216 |
| Abstract | For system of hyperbolic conservation laws with genuinely nonlinear characteristic fields, it has been shown that a solution with compact supported perturbation of constant state tends to the superposition of N-waves, with two time invariants for each characteristic field. The aim of the present article is to generalize the result to systems with both genuinely nonlinear and linearly degenerate characteristic fields, so that the result
applies to the Euler equations in gas dynamics, magnetohydrodynamics equations, and full nonlinear elasticity equations.
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| DOI | |
| AMS Subject Classification |
35L65, 76J20
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| Received |
2020-10-19
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| Accepted |
2020-10-19
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