In the present paper,the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data:the deformation tensor is Hlder continuous ...In the present paper,the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data:the deformation tensor is Hlder continuous and the velocity is Lp integrable,p】d,where d is the space dimension.展开更多
The time distances of the completely square-conservative difference schemes in an explicit way are still limited by the stability criteria, though the schemes keep the advantages of traditional square-conservative sch...The time distances of the completely square-conservative difference schemes in an explicit way are still limited by the stability criteria, though the schemes keep the advantages of traditional square-conservative schemes systhetically. How to lengthen the time distances is the central problem in this note. To solve this problem, the aforesaid explicit schemes are improved to be unconditionally stable in theory, according to the thought of upstream differ-展开更多
基金supported by China Postdoctoral Science Foundation (Grant No.20070410683)the Postdoctoral Fund of School of Mathematical Sciences,Fudan University
文摘In the present paper,the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data:the deformation tensor is Hlder continuous and the velocity is Lp integrable,p】d,where d is the space dimension.
基金Project partly supported by the State Major Key Project for Basic Researches.
文摘The time distances of the completely square-conservative difference schemes in an explicit way are still limited by the stability criteria, though the schemes keep the advantages of traditional square-conservative schemes systhetically. How to lengthen the time distances is the central problem in this note. To solve this problem, the aforesaid explicit schemes are improved to be unconditionally stable in theory, according to the thought of upstream differ-
