Recent Trends in Nonlinear Partial Differential Equations I

Recent Trends in Nonlinear Partial Differential Equations I
Author :
Publisher : American Mathematical Soc.
Total Pages : 323
Release :
ISBN-10 : 9780821887363
ISBN-13 : 082188736X
Rating : 4/5 (63 Downloads)

Synopsis Recent Trends in Nonlinear Partial Differential Equations I by : James B. Serrin

This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought t

Recent Trends in Nonlinear Partial Differential Equations II

Recent Trends in Nonlinear Partial Differential Equations II
Author :
Publisher : American Mathematical Soc.
Total Pages : 354
Release :
ISBN-10 : 9780821898611
ISBN-13 : 0821898612
Rating : 4/5 (11 Downloads)

Synopsis Recent Trends in Nonlinear Partial Differential Equations II by : James Serrin

This book is the second of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honour of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants.

An Introduction to Nonlinear Partial Differential Equations

An Introduction to Nonlinear Partial Differential Equations
Author :
Publisher : John Wiley & Sons
Total Pages : 416
Release :
ISBN-10 : 9780470225950
ISBN-13 : 0470225955
Rating : 4/5 (50 Downloads)

Synopsis An Introduction to Nonlinear Partial Differential Equations by : J. David Logan

Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. 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 results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

New Tools for Nonlinear PDEs and Application

New Tools for Nonlinear PDEs and Application
Author :
Publisher : Springer
Total Pages : 392
Release :
ISBN-10 : 9783030109370
ISBN-13 : 3030109372
Rating : 4/5 (70 Downloads)

Synopsis New Tools for Nonlinear PDEs and Application by : Marcello D'Abbicco

This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.

Numerical Methods for Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations
Author :
Publisher : Springer
Total Pages : 394
Release :
ISBN-10 : 9783319137971
ISBN-13 : 3319137972
Rating : 4/5 (71 Downloads)

Synopsis Numerical Methods for Nonlinear Partial Differential Equations by : Sören Bartels

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. 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. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Partial Differential Equations III

Partial Differential Equations III
Author :
Publisher : Springer Science & Business Media
Total Pages : 734
Release :
ISBN-10 : 9781441970497
ISBN-13 : 1441970495
Rating : 4/5 (97 Downloads)

Synopsis Partial Differential Equations III by : Michael E. Taylor

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

Trends in Theory and Practice of Nonlinear Differential Equations

Trends in Theory and Practice of Nonlinear Differential Equations
Author :
Publisher : CRC Press
Total Pages : 606
Release :
ISBN-10 : 9781000154184
ISBN-13 : 1000154181
Rating : 4/5 (84 Downloads)

Synopsis Trends in Theory and Practice of Nonlinear Differential Equations by : V. Lakshmikantham

This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.

Harmonic Analysis and Partial Differential Equations

Harmonic Analysis and Partial Differential Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 190
Release :
ISBN-10 : 9780821894330
ISBN-13 : 0821894331
Rating : 4/5 (30 Downloads)

Synopsis Harmonic Analysis and Partial Differential Equations by : Patricio Cifuentes

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15, 2012, in El Escorial, Madrid, Spain. Included in this volume is the written version of the mini-course given by Jonathan Bennett on Aspects of Multilinear Harmonic Analysis Related to Transversality. Also included, among other papers, is a paper by Emmanouil Milakis, Jill Pipher, and Tatiana Toro, which reflects and extends the ideas presented in the mini-course on Analysis on Non-smooth Domains delivered at the conference by Tatiana Toro. The topics of the contributed lectures cover a wide range of the field of Harmonic Analysis and Partial Differential Equations and illustrate the fruitful interplay between the two subfields.

Recent Trends in Operator Theory and Partial Differential Equations

Recent Trends in Operator Theory and Partial Differential Equations
Author :
Publisher : Birkhäuser
Total Pages : 313
Release :
ISBN-10 : 9783319470795
ISBN-13 : 3319470795
Rating : 4/5 (95 Downloads)

Synopsis Recent Trends in Operator Theory and Partial Differential Equations by : Vladimir Maz'ya

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 222
Release :
ISBN-10 : 9780821890370
ISBN-13 : 0821890379
Rating : 4/5 (70 Downloads)

Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari

This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.