This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. 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 The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.
This work will serve as an excellent first course in modern analysis.
The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions.
This work will serve as an excellent first course in modern analysis.
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.
What is U(v) if s(t) = Vt F1 – 1? . Consider the conservation law b u(x,t) da = #"a t)” – u(b, t)*]+ / g(v) day, d b di J. 1 where g is a discontinuous source term given by g(a) = 1 if a > # and g(x) = C = const if c < #.
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan.
This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications.
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more ...
While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations.