Geodesic
On one interpolation inequality and its application to the~B\"urgers equatio
Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 2, pp. 239-242

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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. 
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     author = {Sh. M. Nasibov},
     title = {On one interpolation inequality and its application to {the~B\"urgers} equatio},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {214},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_214_2_a4/}
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Sh. M. Nasibov. On one interpolation inequality and its application to the~B\"urgers equatio. Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 2, pp. 239-242. http://geodesic.mathdoc.fr/item/TMF_2023_214_2_a4/