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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