Recent Progress On Reaction Diffusion Systems And Viscosity Solutions

Author : Yihong Du,Hitoshi Ishii,Wei-Yueh Lin
Publisher : World Scientific
Page : 373 pages
File Size : 40,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812834737

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Recent Progress on Reaction-diffusion Systems and Viscosity Solutions by Yihong Du,Hitoshi Ishii,Wei-Yueh Lin Pdf

This book consists of survey and research articles expanding on the theme of the ?International Conference on Reaction-Diffusion Systems and Viscosity Solutions?, held at Providence University, Taiwan, during January 3?6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Waseda), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (Minnesota), Kunimochi Sakamoto (Hiroshima), Richard Tsai (Texas), Mingxin Wang (China), Yoshio Yamada (Waseda), Eiji Yanagida (Tohoku), and Xiao-Qiang Zhao (Canada).

Author : Panayotis G. Kevrekidis
Publisher : Springer Nature
Page : 337 pages
File Size : 42,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031549786

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Fractional Dispersive Models and Applications by Panayotis G. Kevrekidis Pdf

Author : Michael Hintermüller,José Francisco Rodrigues
Publisher : Springer Nature
Page : 396 pages
File Size : 42,7 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9783030331160

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Topics in Applied Analysis and Optimisation by Michael Hintermüller,José Francisco Rodrigues Pdf

This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

Author : Tatsien Li,M Mimura,Yasumasa Nishiura,Q X Ye
Publisher : World Scientific
Page : 242 pages
File Size : 43,5 Mb
Release : 1997-02-03
Category : Electronic
ISBN : 9789814547840

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Reaction-diffusion Equations And Their Applications And Computational Aspects - Proceedings Of The China-japan Symposium by Tatsien Li,M Mimura,Yasumasa Nishiura,Q X Ye Pdf

The aim of the symposium was to provide a forum for presenting and discussing recent developments and trends in Reaction-diffusion Equations and to promote scientific exchanges among mathematicians in China and in Japan, especially for the younger generation. The topics discussed were: Layer dynamics, Traveling wave solutions and its stability, Equilibrium solutions and its limit behavior (stability), Bifurcation phenomena, Computational solutions, and Infinite dimensional dynamical system.

Author : Claudia Bucur,Enrico Valdinoci
Publisher : Springer
Page : 155 pages
File Size : 54,9 Mb
Release : 2016-04-08
Category : Mathematics
ISBN : 9783319287393

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Nonlocal Diffusion and Applications by Claudia Bucur,Enrico Valdinoci Pdf

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.

Author : Antonin Chambolle,Matteo Novaga,Enrico Valdinoci
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 51,6 Mb
Release : 2014-01-17
Category : Mathematics
ISBN : 9788876424731

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Geometric Partial Differential Equations by Antonin Chambolle,Matteo Novaga,Enrico Valdinoci Pdf

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.

Author : Nicholas D. Alikakos,Giorgio Fusco,Panayotis Smyrnelis
Publisher : Springer
Page : 343 pages
File Size : 53,6 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9783319905723

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Elliptic Systems of Phase Transition Type by Nicholas D. Alikakos,Giorgio Fusco,Panayotis Smyrnelis Pdf

This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes – non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabré (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-Córdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include: • Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions. • Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves. • Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates. • Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.

Author : Maurizio Falcone,Charalampos Makridakis
Publisher : World Scientific
Page : 256 pages
File Size : 52,7 Mb
Release : 2001
Category : Mathematics
ISBN : 981279980X

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Numerical Methods for Viscosity Solutions and Applications by Maurizio Falcone,Charalampos Makridakis Pdf

Geometrical optics and viscosity solutions / A.-P. Blanc, G. T. Kossioris and G. N. Makrakis -- Computation of vorticity evolution for a cylindrical Type-II superconductor subject to parallel and transverse applied magnetic fields / A. Briggs ... [et al.] -- A characterization of the value function for a class of degenerate control problems / F. Camilli -- Some microstructures in three dimensions / M. Chipot and V. Lecuyer -- Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow / K. Deckelnick and G. Dziuk -- Optimal discretization steps in semi-lagrangian approximation of first-order PDEs / M. Falcone, R. Ferretti and T. Manfroni -- Convergence past singularities to the forced mean curvature flow for a modified reaction-diffusion approach / F. Fierro -- The viscosity-duality solutions approach to geometric pptics for the Helmholtz equation / L. Gosse and F. James -- Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations / L. Grune -- Solution and application of anisotropic curvature driven evolution of curves (and surfaces) / K. Mikula -- An adaptive scheme on unstructured grids for the shape-from-shading problem / M. Sagona and A. Seghini -- On a posteriori error estimation for constant obstacle problems / A. Veeser.

Author : Philippe Bénilan
Publisher : Longman Scientific and Technical
Page : 374 pages
File Size : 46,7 Mb
Release : 1989
Category : Mathematics
ISBN : UVA:X001606964

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Recent Advances in Nonlinear Elliptic and Parabolic Problems by Philippe Bénilan Pdf

This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988. The main issues addressed were: nonlinear elliptic equations and systems, parabolic equations, time-dependent systems and the calculus of variations.

Author : Anonim
Publisher : Unknown
Page : 620 pages
File Size : 46,8 Mb
Release : 2008
Category : Differential equations
ISBN : UOM:39015072629820

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Advances in Differential Equations by Anonim Pdf

Author : American Mathematical Society
Publisher : Unknown
Page : 784 pages
File Size : 51,8 Mb
Release : 2008
Category : Mathematics
ISBN : CORNELL:31924099658993

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Abstracts of Papers Presented to the American Mathematical Society by American Mathematical Society Pdf

Author : Martino Bardi,Michael G. Crandall,Lawrence C. Evans,Halil M. Soner,Panagiotis E. Souganidis
Publisher : Springer
Page : 268 pages
File Size : 50,5 Mb
Release : 2006-11-13
Category : Mathematics
ISBN : 9783540690436

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Viscosity Solutions and Applications by Martino Bardi,Michael G. Crandall,Lawrence C. Evans,Halil M. Soner,Panagiotis E. Souganidis Pdf

The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes.

Author : Anonim
Publisher : Unknown
Page : 264 pages
File Size : 40,7 Mb
Release : 2002
Category : Mathematics
ISBN : UCSD:31822020374625

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Sūgaku Expositions by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 420 pages
File Size : 47,8 Mb
Release : 1981
Category : Differential equations, Nonlinear
ISBN : UOM:39015049341848

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Nonlinear Partial Differential Equations and Their Applications by Anonim Pdf

Author : Robert H. Perry
Publisher : Unknown
Page : 1938 pages
File Size : 51,7 Mb
Release : 1963
Category : Chemical engineering
ISBN : UOM:39015009803076

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Chemical Engineers' Handbook by Robert H. Perry Pdf

Textbook on chemical industry engineering - covers theoretics, definitions, technical aspects, etc.