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Research Group UCM number 920894. The group has achieved the highest possible ranking (excellent) by the external evaluation system of AEI (Agencia Estatal de Investigación, Ministerio de Ciencia e Innovación, Gobierno de España). [Seminarios] Directors: Rosa Pardo y Raul Ferreira

The main research activities can be outlined as follows

• Dynamic properties of semilinear evolution PDEs.
• Existence and properties of attractors for dissipative equations
• Formation of singularities and blow--uph in finite time
• Perturbations
• Nonlinear Partial Differential Equations and Bifurcation Theory
• Subcritical nonlinearities for elliptic equations
• Localized and Nonlinear boundary conditions
• Non linear Schrodinger equation
• The Benard - Marangoni problem
• Reaction - diffusion systems and Lotka - Volterra systems
• The p - Laplacian
• Selfgravitating compressible fluid: existence, uniqueness, well posedness in various contexts.
• Non-local Diffusion Equations