| 郝兴文.非自治退化抛物-双曲方程的柯西问题[J].数学年刊A辑,2014,35(6):661~674 |
| 非自治退化抛物-双曲方程的柯西问题 |
| Cauchy Problem for Non-autonomous Degenerate Parabolic-Hyperbolic Equations |
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| DOI： |
| 中文关键词: 退化抛物-双曲方程, 动力学解, 柯西问题 |
| 英文关键词:Degenerate parabolic-hyperbolic equation, Kinetic solutions,
Cauchy problem |
| 基金项目:国家自然科学基金 (No.11201343) |
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| 中文摘要: |
| 非自治退化抛物-双曲型方程可以描述许多自然现象.主要研究这类方程的柯西问题,
建立了动力学公式,在对流函数、扩散函数适当光滑性的基础上,证明了该问题动力学
解的存在唯一性. |
| 英文摘要: |
| Non-autonomous degenerate parabolic-hyperbolic equations can be used to describe
many physical phenomena. The paper is mainly concerned with the Cauchy problem
for this kind of equations. The kinetic formulation is constructed. Under suitable smooth
conditions for the flux and diffusion function, the existence and uniqueness of kinetic solutions
for the Cauchy problem is obtained. |
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