Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA372.SPR FCT 80965 (Browse shelf) | 1 | Available |
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QA372. FCT 98156 Topology, calculus and approximation | QA372.SPR FCT 104560 Generalized Lorenz-Mie theories | QA372.SPR FCT 80925 Functional equations and inequalities with applications | QA372.SPR FCT 80965 Nonlinear partial differential equations | QA372.SPR FCT 81080 Numerical methods for ordinary differential equations | QA372.SPR FCT 81249 Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis | QA372.SPR FCT 81266 Singular perturbation theory |
Colocação: Online
The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus.
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