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具线性退化特征拟线性双曲型方程组的Cauchy问题 被引量:1
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作者 刘法贵 《华北水利水电学院学报》 1999年第4期63-67,共5页
考虑具线性退化特征的拟线性双曲型方程组Cauchy 问题,证明了如果在t≥0 上不整体经典解。
关键词 线性退化特征 CAUCHY问题 经典解 双曲型方程组
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具线性退化特征拟线性双曲型方程组的边值问题
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作者 刘志红 《中州大学学报》 2015年第5期112-116,共5页
研究如下的一阶拟线性双曲型方程组ut+A(u)ux+g(u)=0(*)具有耗散型线性退化特征的情形下,其边值问题经典解的整体存在性,以及当t→∞时解的渐近性态,最后把结论应用到两个实际问题中。
关键词 线性退化特征 整体经典解 边值问题 线性双曲型方程组
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GLOBAL C^1 SOLUTION TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LINEARLY DEGENERATE CHARACTERISTICS 被引量:1
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作者 LiTa-tsien PengYue-Jun 《Journal of Partial Differential Equations》 2003年第1期8-17,共10页
Abstract We prove that the C^0 boundedness of solution implies the global existence and uniqueness of C^1 solution to the initial-boundary value problem for linearly degenerate quasilinear hyperbolic systems of diagon... Abstract We prove that the C^0 boundedness of solution implies the global existence and uniqueness of C^1 solution to the initial-boundary value problem for linearly degenerate quasilinear hyperbolic systems of diagonal form with nonlinear boundary conditions.THus ,if the C^1 solution to the initial-bloundary value problem blows up in a finite time,then the solution itself must tend to the in finity at the starting point of singularity. 展开更多
关键词 全局解 初边值问题 对角双曲系统 线性退化特征 存在性 唯一性 胀开 奇点 先验估计
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Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems with One Weakly Linearly Degenerate Characteristic 被引量:2
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作者 Peng QU Cunming LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第3期333-350,共18页
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 globa... 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. 展开更多
关键词 Global classical solution Quasilinear hyperbolic system Weak lineardegeneracy Partial dissipation
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FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM 被引量:4
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作者 WANG LIBINInstitute of Mathematics, Fudan University, Shanghai 200433, China. 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第4期439-454,共16页
The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension.
关键词 Formation of singularity Quasilinear non-strictly hyperbolic system Weak linear degeneracy
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