On the first initial-boundary value problem of the generalized Burgers' equation

DOI10.2977/prims/1195192178zbMath0294.35016OpenAlexW2079588218MaRDI QIDQ1212602

Atusi Tani

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192178

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) A priori estimates in context of PDEs (35B45)

Related Items

Existence of periodic solutions of the generalized Burgers system, Existence and continuous dependence for solutions to the equations of a one-dimensional model in gas-dynamics, Boundary value problems for equations of viscous heat-conducting gas in time-increasing non-cylindrical domains, On a boundary value problem for the equations of a viscous heat-conducting gas in noncylindrical domains shrinking in time, Classical solvability to the initial boundary value problem for a forced foam drainage equation, Well-posedness of the generalized Burgers equation on a finite interval, Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity, On a nonhomogeneous Bingham fluid

Cites Work

• On the temporally global problem of the generalized Burgers' equation
• The existence and uniqueness of the solution of the equations describing compressible viscous fluid flow
• On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
• On a quasi-linear parabolic equation occurring in aerodynamics
• Unnamed Item