Free Boundary Problems

Regularity Properties Near the Fixed Boundary

Author: Darya Apushkinskaya

Publisher: Springer

ISBN: 3319970798

Category: Mathematics

Page: 146

View: 8469

This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.
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Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions

Author: Michael Bildhauer

Publisher: Springer Science & Business Media

ISBN: 9783540402985

Category: Mathematics

Page: 217

View: 4101

The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
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Stability Criteria for Fluid Flows

Author: Adelina Georgescu,Lidia Palese

Publisher: World Scientific

ISBN: 9814289566

Category: Science

Page: 399

View: 6199

This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
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Two-dimensional geometric variational problems

Author: Jürgen Jost

Publisher: John Wiley & Sons Inc

ISBN: N.A

Category: Mathematics

Page: 236

View: 1964

This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.
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Fourier series, transforms, and boundary value problems

Author: J. Ray Hanna,John H. Rowland

Publisher: Wiley-Interscience

ISBN: N.A

Category: Mathematics

Page: 354

View: 8776

Retains both the spirit and philosophy of the popular First Edition. The primary changes consist of the addition of new material on integral transforms, discrete and fast Fourier transforms, series solutions, harmonic analysis, spherical harmonics and a glance at some of the numerical techniques for the solution of boundary value problems. With more than enough material for a one-semester course, it offers a full presentation of basic principles, and advanced topics are covered in the largely self-contained closing chapters. The order of presentation of some of the material has been rearranged to provide more flexibility in arranging courses.
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Noesis

Author: N.A

Publisher: N.A

ISBN: 9789732700884

Category:

Page: N.A

View: 4380

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Error Analysis in Numerical Processes

Author: Solomon G. Mikhlin

Publisher: Wiley

ISBN: N.A

Category: Mathematics

Page: 286

View: 6297

Extends the traditional classification of errors so that the error of the method (truncation error) and the numerical error are subdivided into four classes: the approximation, the perturbation, the algorithm and the rounding error. This new subdivision of errors results in error estimates for a number of linear and nonlinear problems in numerical analysis. Obtained here are new results--errors in the conjugate direction method--as well as known results, such as errors in Gaussian elimination. Also presented are a posteriori error estimates, such as those derived for, and often by means of, the computed approximate solution.
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Partial differential equations of applied mathematics

Author: Erich Zauderer

Publisher: John Wiley & Sons

ISBN: N.A

Category: Mathematics

Page: 779

View: 6946

An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
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Energy Methods for Free Boundary Problems

Applications to Nonlinear PDEs and Fluid Mechanics

Author: Stanislav Nikolaevich Antont︠s︡ev,J. I. Díaz,S. I. Shmarev

Publisher: Birkhauser

ISBN: N.A

Category: Mathematics

Page: 329

View: 4985

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The American Mathematical Monthly

The Official Journal of the Mathematical Association of America

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematicians

Page: N.A

View: 5402

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Monographic Series

Author: Library of Congress

Publisher: N.A

ISBN: N.A

Category: Children's literature in series

Page: N.A

View: 7638

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