Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1121.35329
Korpusov, M.O.; Sveshnikov, A.G.
Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics. (Russian, English)
[J] Zh. Vychisl. Mat. Mat. Fiz. 43, No. 12, 1835-1869 (2003); translation in Comput. Math. Math. Phys. 43, No. 12, 1765-1797 (2003). ISSN 0044-4669

Mathematical models of real-life three-dimensional processes, both dissipative and wave ones, are considered for certain problems of mathematical physics. It is shown that all these models are described by nonlinear evolutionary pseudoparabolic equations. In particular, some of these wave equations are model three-dimensional extensions of one-dimensional Benjamin-Bona-Mahony-Bürgers and Benjamin-Bona-Mahony equations, which describe surface waves in fluids.
[Evgenij Nechaev (Moskva)]

MSC 2000:: *35K70 Ultraparabolic (etc.) problems
76B15 Wave motions (fluid mechanics)

Keywords: real three-dimensional evolutionary processes; three-dimensional nonlinear evolution equations; equations of pseudoparabolic type

Cited in: Zbl 1122.35063

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]