期刊
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
卷 25, 期 2, 页码 225-234出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10255-007-7055-0
关键词
Navier-stokes equations; leak boundary; variational inequalities; solvability; continuous dependence
资金
- National Natural Science Foundation of China [50306019, 10571142, 10471110, 10471109]
The time-dependent Navier-Stokes equations with leak boundary conditions are investigated in this paper. The equivalent variational inequality is derived, and the weak and strong solvabilities of this variational inequality are obtained by the Galerkin approximation method and the regularized method. In addition, the continuous dependence property of solutions on given initial data is established, from which the strong solution is unique.
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