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Volume 10, Issue 3
Muskat Problem with Surface Tension

Jiaxing Hong , Youshan Tao & Fahuai Yi

J. Part. Diff. Eq., 10 (1997), pp. 213-231.

Published online: 1997-10

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  • Abstract
In this paper, we consider Muskat problem with surface tension at the free boundary. Under the natural conditions, we prove tbe existence of classical solution locally in time by Schauder fixed point theorem.
  • Keywords

Lower order terms model problem Fréchet derivative pseudodifferential operator J. Simon's compact theorem

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@Article{JPDE-10-213, author = {Jiaxing Hong , Youshan Tao and Fahuai Yi }, title = {Muskat Problem with Surface Tension}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {3}, pages = {213--231}, abstract = { In this paper, we consider Muskat problem with surface tension at the free boundary. Under the natural conditions, we prove tbe existence of classical solution locally in time by Schauder fixed point theorem.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5593.html} }
TY - JOUR T1 - Muskat Problem with Surface Tension AU - Jiaxing Hong , Youshan Tao & Fahuai Yi JO - Journal of Partial Differential Equations VL - 3 SP - 213 EP - 231 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5593.html KW - Lower order terms KW - model problem KW - Fréchet derivative KW - pseudodifferential operator KW - J. Simon's compact theorem AB - In this paper, we consider Muskat problem with surface tension at the free boundary. Under the natural conditions, we prove tbe existence of classical solution locally in time by Schauder fixed point theorem.
Jiaxing Hong , Youshan Tao and Fahuai Yi . (1997). Muskat Problem with Surface Tension. Journal of Partial Differential Equations. 10 (3). 213-231. doi:
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