Global solutions for quasilinear parabolic systems.
An approach is presented for proving the global existence of classical solutions of the quasilinear parabolic systems like \[ u_t-\text{ div}(a(t,x,u,v)\nabla u)=f(t,u,v,\nabla u), \quad t>0, \] \[ v_t-\alpha\,\text{ div}(b(t,x,v)\nabla v)=g(t,u,v,\alpha\nabla v), \quad t>0, \] with homogeneous Dirichlet boundary condition in bounded domain with smooth boundary.
scientific article; zbMATH DE number 2055347
scientific article