The Dirichlet Problem for the Stokes Equation in a Domain Exterior to an Open Surface

KIRVALIDZE V.

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The Dirichlet Problem for the Stokes Equation in a Domain Exterior to an Open Surface

机译：开放表面外域中的Stokes方程的Dirichlet问题

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摘要

The investigation deals with the boundary value problems (BVP) for the Stokes linear equations in the domain which is an exterior to an open surface. With the help of the theory of boundary integral (pseudodifferential) equations the uniqueness and existence theorems are proved in the Bessel potential and Besov spaces and C~α - smoothness (with α < 1/2) of solution is established in the neighbourhood of the boundary of the open surface.

机译：研究涉及开放表面外部的区域中Stokes线性方程的边值问题（BVP）。借助边界积分（伪微分）方程的理论，证明了Bessel势和Besov空间的唯一性和存在性定理，并在方程组的附近建立了解的C〜α-光滑度（α<1/2）。开放表面的边界。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|p.121-124|共4页
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KIRVALIDZE V.;
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正文语种 eng
中图分类应用数学;
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2. THE DIRICHLET PROBLEM FOR STOKES EQUATION IN A DOMAIN EXTERIOR TO AN OPEN SURFACE [J] . Kirvalidze V. Mathematical Methods in the Applied Sciences . 1997,第15期

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3. THE DIRICHLET PROBLEM FOR THE STOKES EQUATION IN A DOMAIN EXTERIOR TO AN OPEN SURFACE [J] . Kirvalidze V. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

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The Dirichlet Problem for the Stokes Equation in a Domain Exterior to an Open Surface

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