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Nonlinear partial differential equations in differential geometry

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Published by American Mathematical Society, Institute for Advanced Study in [Providence, R.I.], [Princeton, N.J.] .
Written in English

Subjects:

  • Differential equations, Nonlinear -- Congresses.,
  • Geometry, Differential -- Congresses.

Book details:

Edition Notes

StatementRobert Hardt, Michael Wolf, editors.
SeriesIAS/Park City mathematics series,, v. 2
ContributionsHardt, R. 1945-, Wolf, Michael, 1960-, Summer Geometry Institute (2nd : 1992 : Park City, Utah)
Classifications
LC ClassificationsQA377 .N675 1996
The Physical Object
Paginationxi, 339 p. :
Number of Pages339
ID Numbers
Open LibraryOL788221M
ISBN 100821804316
LC Control Number95020571

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This volume presents the proceedings of a series of lectures hosted by the Math­ ematics Department of The University of Tennessee, Knoxville, March , , under the title "Nonlinear Partial Differential Equations in Geometry and Physics". While the relevance of partial differential. In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to solve problems such as the Poincaré conjecture and the Calabi conjecture. This volume presents the proceedings of a series of lectures hosted by the Math­ ematics Department of The University of Tennessee, Knoxville, March , , under the title "Nonlinear Partial Differential Equations in Geometry and Physics". Nonlinear Partial Differential Equations In Engineering. W. F. Ames. $; $; Publisher Description. In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given.

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. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures associated with these equations. this book deals with whole families of partial differential equations), which can be fixed by the reader at will. In total, the handbook contains significantly more nonlinear PDEs and. Book Description: What distinguishes differential geometry in the last half of the twentieth century from its earlier history is the use of nonlinear partial differential equations in the study of curved manifolds, submanifolds, mapping problems, and function theory on manifolds, among other topics. The differential equations appear as tools and as objects of study, with analytic and geometric .

Geometric Analysis and Nonlinear Partial Differential Equations rd Edition by Stefan Hildebrandt (Author), Hermann Karcher (Author) ISBN Cited by: 3. The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations. We study the existence of formal power series solutions, holomorphic solutions, and singular solutions of singular non linear partial differential equations. The differential equations appear as tools and as objects of study, with analytic and geometric advances fueling each other in the current explosion of progress in this area of geometry in the last. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate Reviews: 2.