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Construction of Weak Solutions of the Navier-Stokes Equation in a Non-Cylindrical Domain

机译：非圆柱域中Navier-stokes方程弱解的构造

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摘要

An existence theorem for time dependent solutions of the Navier-Stokes equation in regions bounded by moving boundaries is established by means of a new approximating procedure. This generalizes E. Hopf's result in 1951. (Author)

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Fujita, H.; Sauer, N.;
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年度 1968
页码 p.1-9
总页数 9
原文格式 PDF
正文语种 eng
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关键词
Navier-Stokes equations ; Approximation(Mathematics) ; Partial differential equations ; Initial value problems ; Fluid flow ; Theorems;

机译：Navier-stokes方程;逼近（数学）;偏微分方程;初值问题;流体流动;定理;

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专利

1. On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method [J] . Berselli Luigi C., Spirito Stefano Communications in contemporary mathematics . 2018,第1期

机译：用人工压缩法在边界域中3D Navier-Stokes方程的合适弱解的构造
2. Construction of weak solutions of the Navier-Stokes equation in a noncylindrical domain [J] . Fujita Hiroshi, Sauer Niko Bulletin of the American Mathematical Society . 1969,第2期

机译：非圆柱域中Navier-Stokes方程的弱解的构造
3. Dirichlet problems for a nonstationary linearized system of navier-stokes equations in non-cylindrical domains [J] . Steve Hofmann, Kaj Nystrom Methods and applications of analysis . 2002,第1期

机译：非圆柱域中非平稳线性Navier-stokes方程组的Dirichlet问题
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Solutions for semilinear parabolic equations in L^P and Regularity of Weak Solutions of the Navier-Stokes System利用統計を見る [D] . Giga Yoshikazu 1985

机译：L ^ P中的半线性抛物方程的解和Navier-Stokes系统的弱解的正则性
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Weak solutions of parabolic equations in non-cylindrical domains [O] . Russell M. Brown, Wei Hu, Gary M. Lieberman 1997

机译：非圆柱形域中抛物方程的弱解
8. Parallel Multigrid Solution of the Navier-Stokes Equations on General 2D-Domains [R] . Linden, J. , Steckel, B. , Stueben, K. 1988

机译：一般二维域上Navier-stokes方程的并行多重网格解

Construction of Weak Solutions of the Navier-Stokes Equation in a Non-Cylindrical Domain

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