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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 2, Pages 239–242
DOI: https://doi.org/10.4213/tmf10359
(Mi tmf10359)
 

On one interpolation inequality and its application to the Bürgers equatio

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
References:
Abstract: We consider the Cauchy problem for the nonlinear Bürgers equation and prove a new interpolation inequality. The method of energy inequalities involving the new interpolation inequality is used to study the solvability of the problem in question.
Keywords: nonlinear equation in hydrodynamics, Cauchy problem, nonlinear Bürgers equation, solvability, interpolation inequality.
Received: 01.09.2022
Revised: 27.09.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 2, Pages 207–209
DOI: https://doi.org/10.1134/S0040577923020058
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Sh. M. Nasibov, “On one interpolation inequality and its application to the Bürgers equatio”, TMF, 214:2 (2023), 239–242; Theoret. and Math. Phys., 214:2 (2023), 207–209
Citation in format AMSBIB
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\by Sh.~M.~Nasibov
\paper On one interpolation inequality and its application to the~B\"urgers equatio
\jour TMF
\yr 2023
\vol 214
\issue 2
\pages 239--242
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\crossref{https://doi.org/10.4213/tmf10359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563404}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...214..207N}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 214
\issue 2
\pages 207--209
\crossref{https://doi.org/10.1134/S0040577923020058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149380807}
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  • https://doi.org/10.4213/tmf10359
  • https://www.mathnet.ru/eng/tmf/v214/i2/p239
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:24
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