Nonlinear Partial Differential Equations

Short module description:

- Elliptic equations: monotone and pseudomonotone operators, stationary diffusion processes, variational inequalities;

- Parabolic problems: quasilinear equations, local and global solutions, weak solutions;

- Hyperbolic equations and systems: semilinear and quasilinear equations of first order, entropy condition, system of conservation laws;

- Applications:  reaction-diffusion equations, problems of fluid dynamics (among others);