Singular perturbations of parabolic equations with or without boundary layers
R. Spigler (University Roma Tre, Italy)
Asymptotic approximations of solutions to differential equations are often complementary rather than alternative to numerical approximations. Regular and singular perturbation methods of parabolic equations, including Fokker-Planck-type equations are considered. A class of problems is that of linear and nonlinear Fokker-Planck equations in the Kramers-Smoluchoswski limit, some describing interactions between kinetic and chemical processes. Another case is that of regularization problems of general ultraparabolic equations, where, in some cases, no boundary layers occur.