TY - JOUR
T1 - The Perturbation of the Interface of the Two-dimensional Diffraction Problem and an Approximating Muskat Modal
AU - Jiang Lishang, Liang Jin
JO - Journal of Partial Differential Equations
VL - 2
SP - 85
EP - 96
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5801.html
KW - Perturbation of the interface
KW -  diffraction problem
KW -  evolutional elliptic free boundary problem
KW - approximating Muskat problem
AB -  ln this paper, a new transformation is found out to straighten the interface &#915_2 x = f(y), f &#8712 C^{2+a}([0, a]), f_y|_y =0, &#948 < f < l-&#948,&#948 > 0,&#948,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.