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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
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DOI: https://doi.org/10.4213/tmf10359
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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\paper On one interpolation inequality and its application to the~B\"urgers equatio
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