Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains.
Boundary value problems for some classes of degenerating second order partial differential equations.
Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations
In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type equations...