Asymptotic solutions of a system of equations of second order which are concentrated in a neighborhood of a ray

DOI10.1007/BF01119370zbMath0488.58024OpenAlexW1966512380MaRDI QIDQ1166185

V. E. Nomofilov

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01119370

zbMATH Keywords

ray methodmagneto-hydrodynamicscomplex eikonaleigenfunctions of the Laplace-operator concentrated in a neighborhood of a geodesicformal asymptotic solutions of a second order system of differential equations on a smooth Riemannian manifold concentrated in the vicinity of a fixed ray

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Magnetohydrodynamics and electrohydrodynamics (76W05) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Partial differential equations on manifolds; differential operators (58J99) Differential complexes (58J10)

Related Items

Concentrated solutions for internal wave equations, Modeling of surface water waves concentrated near moving points, Complex ray solutions and eigenfunctions concentrated in a neighborhood of a closed geodesic

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