Critical convective-type equations on a half-line
The global existence and large-time behavior of solutions to the initial-boundary value problem for critical convective-type dissipative equations on a half-line are investigated. The main term of the asymptotic representation of solutions is derived for the critical case. In addition, a general approach to obtain global existence of solution of initial-boundary value problem in critical convective case and general sufficient conditions to obtain the asymptotic expansion of its solution are outlined.
scientific article; zbMATH DE number 5163989