On one interpolation inequality and its application to the Bürgers equatio

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan

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

DOI: 10.4213/tmf10359

 English version: Theoretical and Mathematical Physics, 2023, 214:2, 207–209

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