|
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
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
Linking options:
https://www.mathnet.ru/eng/tmf10359https://doi.org/10.4213/tmf10359 https://www.mathnet.ru/eng/tmf/v214/i2/p239
|
Statistics & downloads: |
Abstract page: | 115 | Full-text PDF : | 17 | Russian version HTML: | 78 | References: | 24 | First page: | 4 |
|