@Article{JPDE-3-85, author = {Jiang Lishang, Liang Jin}, title = {The Perturbation of the Interface of the Two-dimensional Diffraction Problem and an Approximating Muskat Modal}, journal = {Journal of Partial Differential Equations}, year = {1990}, volume = {3}, number = {2}, pages = {85--96}, abstract = { ln this paper, a new transformation is found out to straighten the interface Γ_2 x = f(y), f ∈ C^{2+a}([0, a]), f_y|_y =0, δ < f < l-δ,δ > 0,δ,l=constants and a perturbation of the interface is considered for a two dimensional diffraction problem. And the existence, uniqueness and regularity of an appeoximating Muskat model are proved.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5801.html} }