Article information
1999 , Volume 4, ¹ 5, p.45-55
Matveeva I.I.
A class of boundary problems for the system of internal waves
The solvability of a class of boundary problems in the space quarter is studied for the system of internal waves in Boussinesque approximation. Necessary and sufficient solvability conditions in the weight Sobolev space have been obtained.
[full text] Classificator Msc2000:- *35A05 General existence and uniqueness theorems
- 35B45 A priori estimates
- 35Q35 Other equations arising in fluid mechanics
- 45K05 Integro-partial differential equations
- 76B55 Internal waves
Keywords: system of internal waves, integro-differential system, non-Cauchy-Kovalevskaya-type system, weighted Sobolev space, uniqueness, solvability
Author(s): Matveeva Inessa Izotovna PhD. , Associate Professor Position: Senior Research Scientist Office: Institute of Mathematics SB RAS Address: 630090, Russia, Novosibirsk, Ac/ Koptug ave., 4
Phone Office: (383)3634673 E-mail: matveeva@math.nsc.ru
Bibliography link: Matveeva I.I. A class of boundary problems for the system of internal waves // Computational technologies. 1999. V. 4. ¹ 5. P. 45-55
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