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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 202–212 (Mi tm595)  
This article is cited in 3 scientific papers (total in 3 papers)

Conditions for the Existence of a Global Strong Solution to a Class of Nonlinear Evolution Equations in a Hilbert Space

M. Otelbaev, A. A. Durmagambetov, E. N. Seitkulov

L. N. Gumilev Eurasian National University
Full-text PDF (182 kB) Citations (3)
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Abstract: We study a nonlinear operator differential equation in a Hilbert space. This equation represents an abstract model for the system of Navier–Stokes equations. The main result consists in proving the existence of a strong solution to this equation under the condition that a certain other system of equations (related to the original equation) has only the zero solution.
Received in September 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 194–203
DOI: https://doi.org/10.1134/S0081543808010148
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. Otelbaev, A. A. Durmagambetov, E. N. Seitkulov, “Conditions for the Existence of a Global Strong Solution to a Class of Nonlinear Evolution Equations in a Hilbert Space”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 202–212; Proc. Steklov Inst. Math., 260 (2008), 194–203
Citation in format AMSBIB
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\paper Conditions for the Existence of a~Global Strong Solution to a~Class of Nonlinear Evolution Equations in a~Hilbert Space
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 260
\pages 202--212
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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