Nonlinear Partial Differential Equations With Applications

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Nonlinear Partial Differential Equations with Applications

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Author by : Tomáš Roubíček
Languange Used : English, France, Spanish, Italia and chinese
Page : 476
Isbn : 3034805136
Identifier : 9783034805131
Release : 2013-01-13
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations With Applications by Tomáš Roubíček and you can download with pub, pdf, txt, doc, and more file format with free account. this book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. the exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. selected parts are mainly an introduction into the subject while some others form an advanced textbook. the second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. the intended audience is graduate and phd students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. ------ the monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. the organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (mathematical reviews)

Nonlinear Partial Differential Equations and Their Applications College de France Seminar

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Author by : Doina Cioranescu
Languange Used : English, France, Spanish, Italia and chinese
Page : 664
Isbn : 9780080537672
Identifier : 0080537677
Release : 2002-06-21
Publisher by : Elsevier
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations And Their Applications by Doina Cioranescu and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

Nonlinear Partial Differential Equations for Scientists and Engineers

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Author by : Lokenath Debnath
Languange Used : English, France, Spanish, Italia and chinese
Page : 593
Isbn : 1489928464
Identifier : 9781489928467
Release : 2013-11-11
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations For Scientists And Engineers by Lokenath Debnath and you can download with pub, pdf, txt, doc, and more file format with free account. this expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. the book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

Nonlinear Partial Differential Equations with Applications

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Author by : Tomás Roubicek
Languange Used : English, France, Spanish, Italia and chinese
Page : 405
Isbn : 3764373970
Identifier : 9783764373979
Release : 2006-01-17
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations With Applications by Tomás Roubicek and you can download with pub, pdf, txt, doc, and more file format with free account. this book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. the exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. methods of galerkin or of rothe are exposed in a large generality.

An Introduction to Nonlinear Partial Differential Equations

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Author by : J. David Logan
Languange Used : English, France, Spanish, Italia and chinese
Page : 397
Isbn : 0470225955
Identifier : 9780470225950
Release : 2008-04-11
Publisher by : John Wiley & Sons
Category : Mathematics
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Description : Read Now An Introduction To Nonlinear Partial Differential Equations by J. David Logan and you can download with pub, pdf, txt, doc, and more file format with free account. an introduction to nonlinear partial differential equations is a textbook on nonlinear partial differential equations. it is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. the second edition features an updated bibliography as well as an increase in the number of exercises. all software references have been updated with the latest version of [email protected], the corresponding graphics have also been updated using [email protected] an increased focus on hydrogeology...

Order Structure and Topological Methods in Nonlinear Partial Differential Equations Maximum principles and applications

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Author by : Yihong Du
Languange Used : English, France, Spanish, Italia and chinese
Page : 190
Isbn : 9812566244
Identifier : 9789812566249
Release : 2006-01
Publisher by : World Scientific
Category : Mathematics
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Description : Read Now Order Structure And Topological Methods In Nonlinear Partial Differential Equations by Yihong Du and you can download with pub, pdf, txt, doc, and more file format with free account. the maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. this book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.the maximum principle is revisited through the use of the krein-rutman theorem and the principal eigenvalues. its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. the upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and liouville type results over half and entire spaces. some of the results included here are published for the first time.

Nonlinear Partial Differential Equations of Second Order

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Author by : Guangchang Dong
Languange Used : English, France, Spanish, Italia and chinese
Page : 251
Isbn : 9780821845547
Identifier : 0821845543
Release : 1991
Publisher by : American Mathematical Soc.
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations Of Second Order by Guangchang Dong and you can download with pub, pdf, txt, doc, and more file format with free account. addresses a class of equations central to many areas of mathematics and its applications. this book addresses a general approach that consists of the following: choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution.

Systems of Nonlinear Partial Differential Equations Applications to Biology and Engineering

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Author by : A.W. Leung
Languange Used : English, France, Spanish, Italia and chinese
Page : 409
Isbn : 9401539375
Identifier : 9789401539371
Release : 2013-03-09
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Systems Of Nonlinear Partial Differential Equations by A.W. Leung and you can download with pub, pdf, txt, doc, and more file format with free account. 'et moi ..., si j'avait su comment en reveru.r, one service mathematics has rendered the je n'y scrais point aile.' human race. it has put common sense back jules verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non the series is divergent; therefore we may be sense'. eric t. bell able to do something with it. o. heaviside mathematics is a tool for thought. a highly necessary tool in a world where both feedback and non linearities abound. similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. applying a simple rewriting rule to the quote on the right above one finds such statements as: 'one service topology has rendered mathematical physics .. .'; 'one service logic has rendered com puter science .. .'; 'one service category theory has rendered mathematics .. .'. all arguably true. and all statements obtainable this way form part of the raison d'etre of this series.

Nonlinear Partial Differential Equations and Their Applications College de France Seminar

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Author by : Brezis
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 9780582238015
Identifier : 0582238013
Release : 1994-08-04
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations And Their Applications by Brezis and you can download with pub, pdf, txt, doc, and more file format with free account. this book contains the texts of selected lectures delivered at weekly seminars at the college de france during the period 1991-93. the main theme of the papers is recent work in the field of partial differential equations - a field of growing importance both in pure and applied mathematics.

Implicit Partial Differential Equations

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Author by : Bernard Dacorogna
Languange Used : English, France, Spanish, Italia and chinese
Page : 273
Isbn : 9780817641214
Identifier : 0817641211
Release : 1999-08-01
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Implicit Partial Differential Equations by Bernard Dacorogna and you can download with pub, pdf, txt, doc, and more file format with free account. nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. in recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. in this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. chapter 1). it is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. we present a new functional analytic method based on the baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. the results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

Nonlinear Partial Differential Equations for Scientists and Engineers

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Author by : Lokenath Debnath
Languange Used : English, France, Spanish, Italia and chinese
Page : 860
Isbn : 9780817682651
Identifier : 0817682651
Release : 2011-10-07
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations For Scientists And Engineers by Lokenath Debnath and you can download with pub, pdf, txt, doc, and more file format with free account. the revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. in an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. nonlinear partial differential equations for scientists and engineers, third edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. it may be used to great effect as a course textbook, research reference, or self-study guide.

Nonlinear Partial Differential Equations and Their Applications Collge de France Seminar

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Author by : Doina Cioranescu
Languange Used : English, France, Spanish, Italia and chinese
Page : 352
Isbn : 9780582369269
Identifier : 0582369266
Release : 1998-08-15
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now Nonlinear Partial Differential Equations And Their Applications by Doina Cioranescu and you can download with pub, pdf, txt, doc, and more file format with free account. this book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the collège de france. emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis, and engineering. proceedings of this seminar will be of particular interest to postgraduate students and specialists in the area of nonlinear partial differential equations.