Water waves generated by disturbances at an ice cover.
Maiti, Paramita, Mandal, B.N. (2005)
International Journal of Mathematics and Mathematical Sciences
Nikolai G. Kuznecov, Vladimir G. Maz'ya (2001)
Mathematica Bohemica
The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.
Bhatta, D.D., Rahman, M. (1995)
International Journal of Mathematics and Mathematical Sciences
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Marín, A.M., Ortíz, R.D., Zhevandrov, P. (2007)
Journal of Applied Mathematics
Sneyd, A.D. (2001)
Journal of Applied Mathematics and Decision Sciences
Jerry L. Bona, Jiahong Wu (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Jerry L. Bona, Jiahong Wu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Evolution equations featuring nonlinearity, dispersion and dissipation are considered here. For classes of such equations that include the Korteweg-de Vries-Burgers equation and the BBM-Burgers equation, the zero dissipation limit is studied. Uniform bounds independent of the dissipation coefficient are derived and zero dissipation limit results with optimal convergence rates are established.
А. Фрагела (1989)
Sibirskij matematiceskij zurnal
Б.М. Каштан, Ю.В. Киселев (1996)
Zapiski naucnych seminarov POMI
Н.Я. Кирпичникова (1987)
Zapiski naucnych seminarov Leningradskogo
А.Г. Гараджаев (1984)
Sibirskij matematiceskij zurnal
В.В. Залипаев (1989)
Zapiski naucnych seminarov Leningradskogo
И.А. Молотков, А.С. Старков (1978)
Zapiski naucnych seminarov Leningradskogo
П.И. Плотников (1980)
Zapiski naucnych seminarov Leningradskogo
В.И. Налимов (1996)
Sibirskij matematiceskij zurnal
П.П. Кулиш, В.Д. Липовский (1987)
Zapiski naucnych seminarov Leningradskogo
Г.И. Петрашень, Б.М. Каштан (1996)
Zapiski naucnych seminarov POMI
И.Л. Гуревич (1983)
Trudy Seminara po Kraevym Zadacam
В.П. Маслов, Г.А. Омельянов (1983)
Sibirskij matematiceskij zurnal