The Regularity Of General Parabolic Systems With Degenerate Diffusion
DOWNLOAD
Download The Regularity Of General Parabolic Systems With Degenerate Diffusion PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Regularity Of General Parabolic Systems With Degenerate Diffusion book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Regularity Of General Parabolic Systems With Degenerate Diffusion
DOWNLOAD
Author : Verena Bögelein
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-01-28
The Regularity Of General Parabolic Systems With Degenerate Diffusion written by Verena Bögelein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-28 with Mathematics categories.
The aim of the paper is twofold. On one hand the authors want to present a new technique called $p$-caloric approximation, which is a proper generalization of the classical compactness methods first developed by DeGiorgi with his Harmonic Approximation Lemma. This last result, initially introduced in the setting of Geometric Measure Theory to prove the regularity of minimal surfaces, is nowadays a classical tool to prove linearization and regularity results for vectorial problems. Here the authors develop a very far reaching version of this general principle devised to linearize general degenerate parabolic systems. The use of this result in turn allows the authors to achieve the subsequent and main aim of the paper, that is, the implementation of a partial regularity theory for parabolic systems with degenerate diffusion of the type $\partial_t u - \mathrm{div} a(Du)=0$, without necessarily assuming a quasi-diagonal structure, i.e. a structure prescribing that the gradient non-linearities depend only on the the explicit scalar quantity.
The Regularity Of General Parabolic Systems With Degenerate Diffusion
DOWNLOAD
Author : Verena Bögelein
language : en
Publisher:
Release Date : 2012
The Regularity Of General Parabolic Systems With Degenerate Diffusion written by Verena Bögelein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Degenerate differential equations categories.
On The Regularity Of The Composition Of Diffeomorphisms
DOWNLOAD
Author : H. Inci
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23
On The Regularity Of The Composition Of Diffeomorphisms written by H. Inci and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.
For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 12dimM+1.
Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space
DOWNLOAD
Author : Joachim Krieger
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-22
Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space written by Joachim Krieger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on $(6+1)$ and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space $\dot{H}_A^{(n-4)/{2}}$. Regularity is obtained through a certain ``microlocal geometric renormalization'' of the equations which is implemented via a family of approximate null Cronstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic $L^p$ spaces, and also proving some bilinear estimates in specially constructed square-function spaces.
Nonlinear Diffusion Equations
DOWNLOAD
Author : Zhuoqun Wu
language : en
Publisher: World Scientific
Release Date : 2001
Nonlinear Diffusion Equations written by Zhuoqun Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature. They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. In many cases, the equations possess degeneracy or singularity. The appearance of degeneracy or singularity makes the study more involved and challenging. Many new ideas and methods have been developed to overcome the special difficulties caused by the degeneracy and singularity, which enrich the theory of partial differential equations.This book provides a comprehensive presentation of the basic problems, main results and typical methods for nonlinear diffusion equations with degeneracy. Some results for equations with singularity are touched upon.
Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds
DOWNLOAD
Author : Jose Luis Flores
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23
Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds written by Jose Luis Flores and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.
Recently, the old notion of causal boundary for a spacetime V has been redefined consistently. The computation of this boundary ∂V on any standard conformally stationary spacetime V=R×M, suggests a natural compactification MB associated to any Riemannian metric on M or, more generally, to any Finslerian one. The corresponding boundary ∂BM is constructed in terms of Busemann-type functions. Roughly, ∂BM represents the set of all the directions in M including both, asymptotic and "finite" (or "incomplete") directions. This Busemann boundary ∂BM is related to two classical boundaries: the Cauchy boundary ∂CM and the Gromov boundary ∂GM. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification MB, relating it with the previous two completions, and (3) to give a full description of the causal boundary ∂V of any standard conformally stationary spacetime. J. L. Flores and J. Herrera, University of Malaga, Spain, and M. Sánchez, University of Granada, Spain. Publisher's note.
Degenerate Parabolic Equations
DOWNLOAD
Author : Emmanuele DiBenedetto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Degenerate Parabolic Equations written by Emmanuele DiBenedetto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
Nonlinear Stability Of Ekman Boundary Layers In Rotating Stratified Fluids
DOWNLOAD
Author : Hajime Koba
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Nonlinear Stability Of Ekman Boundary Layers In Rotating Stratified Fluids written by Hajime Koba and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions
DOWNLOAD
Author : Jean-Bernard Bru
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions written by Jean-Bernard Bru and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.
The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, the authors give a first answer to an old open problem in mathematical physics--first addressed by Ginibre in 1968 within a different context--about the validity of the so-called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, the authors' method provides a systematic way to study all its correlation functions at equilibrium and can thus be used to analyze the physics of long range interactions. Furthermore, the authors show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non-cooperative equilibria of a zero-sum game, called here thermodynamic game.
Large Deviations For Additive Functionals Of Markov Chains
DOWNLOAD
Author : Alejandro D. de Acosta
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Large Deviations For Additive Functionals Of Markov Chains written by Alejandro D. de Acosta and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.