节点文献
一般非线性多孔介质方程的Callchy问题
Cauchy Problems for a Class of NonlinearFiltation Equations
【摘要】 在区域中研究了初值或者甚至是一Radon测度时,具有对流与强非线性源的渗流方程的Callchy问题,得到了其非负广义解的局部存在性,非平凡整体解存在与否的条件以及弱解的唯一性.
【Abstract】 in this paper we study the Cauchy problem for a class of filtration equations withconvectloon and Strongly nonlinear sourcesin some strip (0,T), when the initial datume Uo is merely a function in I. (R’) or evena Radon nleasurc u We obtained the existence of local solution of non-nekrative generalized solutionand some sufficient conditions of tile existence and nonexistencc of non-trivial global solution, andwe also derive foe uniqueness of weak solutions.
【关键词】 非线性;
渗流方程CallChy问题;
正解;
整体解;
存在性与唯一性;
【Key words】 nonlinear; filtration equations; touchy problem; positive solutions; global solution; existencc and uniqueness;
【Key words】 nonlinear; filtration equations; touchy problem; positive solutions; global solution; existencc and uniqueness;
【基金】 国家自然科学基金
- 【文献出处】 纺织高校基础科学学报 ,BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES , 编辑部邮箱 ,1996年04期
- 【分类号】O411.1
- 【下载频次】24