Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces

Francisco Gancedo

Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces

偏微分方程分析 2007-05-23 v1

作者: Francisco Gancedo

摘要

We consider a family of contour dynamics equations depending on a parameter $\al$ with $0<\alpha\leq 1$ . The vortex patch problem of the 2-D Euler equation is obtained taking $\alpha\to 0$ , and the case $\alpha=1$ corresponds to a sharp front of the QG equation. We prove local-in-time existence for the family of equations in Sobolev spaces.

引用

@article{arxiv.math/0701447,
  title  = {Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces},
  author = {Francisco Gancedo},
  journal= {arXiv preprint arXiv:math/0701447},
  year   = {2007}
}

备注

26 pages

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