Nonlinear Partial Differential Equations with Applications

Nonlinear Partial Differential Equations with Applications PDF Author: Tomás Roubicek
Publisher: Springer Science & Business Media
ISBN: 3764373970
Category : Mathematics
Languages : en
Pages : 415

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Book Description
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.

Nonlinear Partial Differential Equations with Applications

Nonlinear Partial Differential Equations with Applications PDF Author: Tomás Roubicek
Publisher: Springer Science & Business Media
ISBN: 3764373970
Category : Mathematics
Languages : en
Pages : 415

Get Book Here

Book Description
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.

Nonlinear Evolution Operators and Semigroups

Nonlinear Evolution Operators and Semigroups PDF Author: Nicolae H. Pavel
Publisher:
ISBN: 9783662199435
Category :
Languages : en
Pages : 296

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Book Description


Nonlinear Evolutionary Partial Differential Equations

Nonlinear Evolutionary Partial Differential Equations PDF Author: Xiaxi Ding
Publisher: American Mathematical Soc.
ISBN: 0821806610
Category : Mathematics
Languages : en
Pages : 653

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Book Description
This volume contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. The topic for the conference was selected because of its importance in the natural sciences and for its mathematical significance. Discussion topics include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more. New results were presented and are featured in this volume. Titles in this series are co-published with International Press, Cambridge, MA.

Nonlinear Evolution Operators and Semigroups

Nonlinear Evolution Operators and Semigroups PDF Author: Nicolae H. Pavel
Publisher: Springer
ISBN: 3540471863
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.

A Stability Technique for Evolution Partial Differential Equations

A Stability Technique for Evolution Partial Differential Equations PDF Author: Victor A. Galaktionov
Publisher: Springer Science & Business Media
ISBN: 1461220505
Category : Mathematics
Languages : en
Pages : 388

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Book Description
* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Weak and Measure-Valued Solutions to Evolutionary PDEs

Weak and Measure-Valued Solutions to Evolutionary PDEs PDF Author: J. Necas
Publisher: CRC Press
ISBN: 1000723127
Category : Mathematics
Languages : en
Pages : 334

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Book Description
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering

Numerical Methods for Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations PDF Author: Sören Bartels
Publisher: Springer
ISBN: 3319137972
Category : Mathematics
Languages : en
Pages : 394

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Book Description
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.

Nonlinear Evolution Equations and Painlev‚ Test

Nonlinear Evolution Equations and Painlev‚ Test PDF Author: W.-H. Steeb
Publisher: World Scientific
ISBN: 9971507447
Category : Mathematics
Languages : en
Pages : 345

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Book Description
This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans University. It gives a survey on the Painlev‚ test, Painlev‚ property and integrability. Both ordinary differential equations and partial differential equations are considered.

Nonlinear Partial Differential Equations for Future Applications

Nonlinear Partial Differential Equations for Future Applications PDF Author: Shigeaki Koike
Publisher: Springer
ISBN: 9789813348240
Category : Mathematics
Languages : en
Pages : 261

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Book Description
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. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.

A Theory of Optimization and Optimal Control for Nonlinear Evolution and Singular Equations

A Theory of Optimization and Optimal Control for Nonlinear Evolution and Singular Equations PDF Author: Mieczyslaw Altman
Publisher: World Scientific
ISBN: 9789810203269
Category : Science
Languages : en
Pages : 296

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Book Description
This research monograph offers a general theory which encompasses almost all known general theories in such a way that many practical applications can be obtained. It will be useful for mathematicians interested in the development of the abstract Control Theory with applications to Nonlinear PDE, as well as physicists, engineers, and economists looking for theoretical guidance in solving their optimal control problems; and graduate-level seminar courses in nonlinear applied functional analysis.