Flows Of Non Smooth Vector Fields And Degenerate Elliptic Equations
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Flows of Non Smooth Vector Fields and Degenerate Elliptic Equations
Author | : Maria Colombo |
Publsiher | : Springer |
Total Pages | : 250 |
Release | : 2017-06-07 |
Genre | : Mathematics |
ISBN | : 9788876426070 |
Download Flows of Non Smooth Vector Fields and Degenerate Elliptic Equations Book in PDF, Epub and Kindle
The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.
Weighted Sobolev Spaces and Degenerate Elliptic Equations
Author | : Albo Carlos Cavalheiro |
Publsiher | : Cambridge Scholars Publishing |
Total Pages | : 333 |
Release | : 2023-09-29 |
Genre | : Mathematics |
ISBN | : 9781527551671 |
Download Weighted Sobolev Spaces and Degenerate Elliptic Equations Book in PDF, Epub and Kindle
In various applications, we can meet boundary value problems for elliptic equations whose ellipticity is disturbed in the sense that some degeneration or singularity appears. This bad behavior can be caused by the coefficients of the corresponding differential operator as well as by the solution itself. There are several very concrete problems in various practices which lead to such differential equations, such as glaciology, non-Newtonian fluid mechanics, flows through porous media, differential geometry, celestial mechanics, climatology, and reaction-diffusion problems, among others. This book is based on research by the author on degenerate elliptic equations. This book will be a useful reference source for graduate students and researchers interested in differential equations.
Spaces of Measures and their Applications to Structured Population Models
Author | : Christian Düll,Piotr Gwiazda,Anna Marciniak-Czochra,Jakub Skrzeczkowski |
Publsiher | : Cambridge University Press |
Total Pages | : 321 |
Release | : 2021-10-07 |
Genre | : Mathematics |
ISBN | : 9781316519103 |
Download Spaces of Measures and their Applications to Structured Population Models Book in PDF, Epub and Kindle
Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.
An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups
Author | : Stefano Biagi,Andrea Bonfiglioli |
Publsiher | : World Scientific |
Total Pages | : 450 |
Release | : 2018-12-05 |
Genre | : Mathematics |
ISBN | : 9789813276635 |
Download An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups Book in PDF, Epub and Kindle
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
Ricci Flow and the Sphere Theorem
Author | : Simon Brendle |
Publsiher | : American Mathematical Soc. |
Total Pages | : 186 |
Release | : 2010 |
Genre | : Ricci flow |
ISBN | : 9780821849385 |
Download Ricci Flow and the Sphere Theorem Book in PDF, Epub and Kindle
Deals with the Ricci flow, and the convergence theory for the Ricci flow. This title focuses on preserved curvature conditions, such as positive isotropic curvature. It is suitable for graduate students and researchers.
Transmission Problems for Elliptic Second Order Equations in Non Smooth Domains
Author | : Mikhail Borsuk |
Publsiher | : Springer Science & Business Media |
Total Pages | : 220 |
Release | : 2010-09-02 |
Genre | : Mathematics |
ISBN | : 9783034604772 |
Download Transmission Problems for Elliptic Second Order Equations in Non Smooth Domains Book in PDF, Epub and Kindle
This book investigates the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges, considering this problem both for linear and quasi-linear equations.
Fokker Planck Kolmogorov Equations
Author | : Vladimir I. Bogachev,Nicolai V. Krylov,Michael Röckner,Stanislav V. Shaposhnikov |
Publsiher | : American Mathematical Society |
Total Pages | : 495 |
Release | : 2022-02-10 |
Genre | : Mathematics |
ISBN | : 9781470470098 |
Download Fokker Planck Kolmogorov Equations Book in PDF, Epub and Kindle
This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Smooth Ergodic Theory of Random Dynamical Systems
Author | : Pei-Dong Liu,Min Qian |
Publsiher | : Springer |
Total Pages | : 233 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540492917 |
Download Smooth Ergodic Theory of Random Dynamical Systems Book in PDF, Epub and Kindle
This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.