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| Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems with One Weakly Linearly Degenerate Characteristic |
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Citation： |
Peng QU,Cunming LIU.Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems with One Weakly Linearly Degenerate Characteristic[J].Chinese Annals of Mathematics B,2012,33(3):333~350 |
| Page view： 1653
Net amount： 1559 |
Authors： |
Peng QU; Cunming LIU; |
Foundation： |
the Fudan University Creative Student Cultivation Program in Key Disciplinary Areas (No. EHH1411208). |
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| Abstract： |
For a kind of partially dissipative quasilinear hyperbolic systems without Shizuta-Kawashima condition, in which all the characteristics, except a weakly linearly degenerate one, are involved in the dissipation, the global existence of $H^2$ classical solution to the Cauchy problem with small initial data is obtained. |
Keywords： |
Global classical solution, Quasilinear hyperbolic system, Weak linear degeneracy, Partial dissipation |
Classification： |
35L45, 35L60 |
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