Nonlinear Partial Differential Equations With Applications

✏Book Title : Nonlinear Partial Differential Equations with Applications
✏Author : Tomáơ Roubíček
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-01-13
✏Pages : 476
✏ISBN : 9783034805131
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations with Applications Book Summary : 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)

✏Book Title : Nonlinear Partial Differential Equations for Scientists and Engineers
✏Author : Lokenath Debnath
✏Publisher : Springer Science & Business Media
✏Release Date : 2010-02-20
✏Pages : 738
✏ISBN : 0817644180
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations for Scientists and Engineers Book Summary : This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.

✏Book Title : Nonlinear partial differential equations and their applications
✏Author : Haim BrĂ©zis
✏Publisher :
✏Release Date : 1985
✏Pages : 292
✏ISBN : 0273086790
✏Available Language : English, Spanish, And French

✏Nonlinear partial differential equations and their applications Book Summary :

✏Book Title : Nonlinear Partial Differential Equations and Their Applications
✏Author : HaĂŻm BrĂ©zis
✏Publisher : Pitman Advanced Publishing Program
✏Release Date : 1991
✏Pages : 250
✏ISBN : UOM:39015031882361
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations and Their Applications Book Summary :

✏Book Title : Nonlinear Partial Differential Equations with Applications
✏Author : Tomás Roubicek
✏Publisher : Springer Science & Business Media
✏Release Date : 2006-01-17
✏Pages : 405
✏ISBN : 9783764373979
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations with Applications Book Summary : 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.

✏Book Title : Nonlinear Partial Differential Equations of Second Order
✏Author : Guangchang Dong
✏Publisher : American Mathematical Soc.
✏Release Date : 1991
✏Pages : 251
✏ISBN : 0821845543
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations of Second Order Book Summary : 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.

✏Book Title : Nonlinear Partial Differential Equations and Their Applications
✏Author :
✏Publisher :
✏Release Date : 1981
✏Pages :
✏ISBN : LCCN:81004350
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations and Their Applications Book Summary :

✏Book Title : Fourier Analysis and Nonlinear Partial Differential Equations
✏Author : Hajer Bahouri
✏Publisher : Springer Science & Business Media
✏Release Date : 2011-01-03
✏Pages : 524
✏ISBN : 3642168302
✏Available Language : English, Spanish, And French

✏Fourier Analysis and Nonlinear Partial Differential Equations Book Summary : In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

✏Book Title : Nonlinear Partial Differential Equations and Their Applications
✏Author : Doina Cioranescu
✏Publisher : CRC Press
✏Release Date : 1998-08-15
✏Pages : 352
✏ISBN : 0582369266
✏Available Language : English, Spanish, And French

✏Nonlinear Partial Differential Equations and Their Applications Book Summary : 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 Collùge 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.

✏Book Title : Systems of Nonlinear Partial Differential Equations
✏Author : Anthony Leung
✏Publisher : Springer
✏Release Date : 1989-04-30
✏Pages : 409
✏ISBN : 9780792301387
✏Available Language : English, Spanish, And French

✏Systems of Nonlinear Partial Differential Equations Book Summary : '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.