Nonlinear Partial Differential Equations and Applications

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Considerably extended second edition of a well-written monograph on modern theory of PDEs Presents theory and applications in a concise, clear, elegant and rigorous way Useful also to engineers, physicists, biologists and other scientists interested in nonlinear differential models see more benefits. Buy eBook. Buy Hardcover.

Buy Softcover. Rent the eBook. FAQ Policy. About this Textbook This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. Mathematical Reviews. Show all. This monograph will be useful to all persons who are interested in nonlinear partial differential equations or systems and their applications. Show next xx. Collino, B. Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids C. Conca, R. Gormaz, E. Ortega, M. De Arcangelis. Transport of trapped particles in a surface potential P.

What are applications of Partial differential equations?

Diffusive energy balance models in climatology J. Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems M. Eller, V.


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On the unstable spectrum of the Euler equation S. Gallagher, P. Upwind discretizations of a steady grade-two fluid model in two dimensions V.

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Girault, L. Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings H. Haddar, P. Remarks on the Kompaneets equation, a simplified model of the Fokker-Planck equation O. Singular perturbations without limit in the energy space. Convergence and computation of the associated layers D. Leguillon, E. Sanchez-Palencia, C. Optimal design of gradient fields with applications to electrostatics R. Lipton, A. A blackbox reduced-basis output bound method for noncoercive linear problems Y.

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Maday, A. Patera, D. Simulation of flow in a glass tank V. Nefedov, R.

Nonlinear Partial Differential Equations and Their Applications, Volume 31 - 1st Edition

Control localized on thin structures for semilinear parabolic equations P. Nguyen, J. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations.

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