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Volume 3, Issue 2
The Perturbation of the Interface of the Two-dimensional Diffraction Problem and an Approximating Muskat Modal

Jiang Lishang, Liang Jin

J. Part. Diff. Eq.,3(1990),pp.85-96

Published online: 1990-03

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  • 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.
  • Keywords

Perturbation of the interface diffraction problem evolutional elliptic free boundary problem approximating Muskat problem

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COPYRIGHT: © Global Science Press

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@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} }
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 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.
Jiang Lishang, Liang Jin. (1990). The Perturbation of the Interface of the Two-dimensional Diffraction Problem and an Approximating Muskat Modal. Journal of Partial Differential Equations. 3 (2). 85-96. doi:
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