Lecture Notes On Dissipative Bose-Einstein Equations
Brahim Alouini
Broschiertes Buch

Lecture Notes On Dissipative Bose-Einstein Equations

Dynamical Systems and Global Attractors

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This book develops the theory of global attractors for a class of Schrödinger type equations in presence of a quadratic potential. Two examples are treated in details, a rigorous treatement of existence and uniqueness of solutions for the nonlinear evolution equations that generate the infinite dimensional dynamical systems of the title. Attention then turns to the global attractor, a finite dimensional subset of the infinite dimensinal phase space that determinates the asymptotic dynamics. In particular, the concluding Chapter investigate in what sense the dynamics restricted to the attracto...