Analyticity of Solutions to Nonlinear Parabolic Equations on Manifolds and an Application to Stokes Flow
Analyticity of Solutions to Nonlinear Parabolic Equations on Manifolds and an Application to Stokes Flow
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DOI：
10.1007/s00021-005-0175-5
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发表时间：
2006-02
影响因子：
1.3
通讯作者：
J. Escher;G. Prokert
中科院分区：
文献类型：
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作者：
J. Escher;G. Prokert
我们证明了一个一般的正则性结果完全非线性，可能非局部抛物柯西问题的假设下，最大的正则性的线性化问题。我们应用这一结果来显示联合空间和时间的解析性的移动边界的Stokes流驱动的表面张力的问题。
We prove a general regularity result for fully nonlinear, possibly nonlocal parabolic Cauchy problems under the assumption of maximal regularity for the linearized problem. We apply this result to show joint spatial and temporal analyticity of the moving boundary in the problem of Stokes flow driven by surface tension.