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Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon. (English. Russian original) Zbl 1012.76016

Comput. Math. Math. Phys. 39, No. 9, 1487-1492 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 9, 1552-1557 (1999).
Summary: We examine the asymptotic behavior of fundamental solution to the operator of two-dimensional internal waves in a stratified fluid for large time intervals. A two-dimensional “quasi-front” is shown to be present in the stratified fluid.

MSC:

76B55 Internal waves for incompressible inviscid fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
35Q35 PDEs in connection with fluid mechanics
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