Two-parameter asymptotics in a bisingular Cauchy problem for a parabolic equation

DOI10.1134/S0081543818050164zbMath1401.35150OpenAlexW2887122346MaRDI QIDQ1800529

S. V. Zakharov

Publication date: 24 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818050164

zbMATH Keywords

asymptotic solutionsCauchy problemparabolic equationseries.

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15) Waves for incompressible viscous fluids (76D33)

Cites Work

• Heat distribution in an infinite rod
• The Cauchy problem for a quasilinear parabolic equation with two small parameters
• On the critical behavior in nonlinear evolutionary PDEs with small viscosity
• On critical behaviour in systems of Hamiltonian partial differential equations
• Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity
• ON THE ASYMPTOTICS OF THE SOLUTION OF A PROBLEM WITH A SMALL PARAMETER
• Two-parameter asymptotics in the Cauchy problem for a quasi-linear parabolic equation
• The renormalization-group method in problems of mechanics
• Discontinuous solutions of non-linear differential equations
• Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case
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