Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary

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Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary

Alfonso Castro,Victor Padrón
Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary Book PDF

Author : Alfonso Castro,Victor Padrón
Publisher : Unknown
Page : 72 pages
File Size : 47,7 Mb
Release : 2010
Category : MATHEMATICS
ISBN : 1470405903

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Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary by Alfonso Castro,Victor Padrón Pdf

"We provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, our study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. We describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. We also provide information on the stability-unstability of the radial steady states."--Publisher's website.

Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary

Alfonso Castro,Victor Padron
Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary Book PDF

Author : Alfonso Castro,Victor Padron
Publisher : American Mathematical Soc.
Page : 87 pages
File Size : 45,8 Mb
Release : 2010
Category : Differential equations, Elliptic
ISBN : 9780821847268

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Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary by Alfonso Castro,Victor Padron Pdf

The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.

Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary

Alfonso Castro,Victor Padron
Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary Book PDF

Author : Alfonso Castro,Victor Padron
Publisher : American Mathematical Soc.
Page : 87 pages
File Size : 47,5 Mb
Release : 2010-01-01
Category : Science
ISBN : 9780821867174

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Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary by Alfonso Castro,Victor Padron Pdf

"Volume 208, number 976 (first of 6 numbers)."

Contributions to Nonlinear Elliptic Equations and Systems

Alexandre N. Carvalho,Bernhard Ruf,Ederson Moreira dos Santos,Sergio H. M. Soares,Thierry Cazenave
Contributions to Nonlinear Elliptic Equations and Systems Book PDF

Author : Alexandre N. Carvalho,Bernhard Ruf,Ederson Moreira dos Santos,Sergio H. M. Soares,Thierry Cazenave
Publisher : Birkhäuser
Page : 438 pages
File Size : 54,5 Mb
Release : 2015-11-14
Category : Mathematics
ISBN : 9783319199023

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Contributions to Nonlinear Elliptic Equations and Systems by Alexandre N. Carvalho,Bernhard Ruf,Ederson Moreira dos Santos,Sergio H. M. Soares,Thierry Cazenave Pdf

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.

Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates

Jun Kigami
Resistance Forms Quasisymmetric Maps and Heat Kernel Estimates Book PDF

Author : Jun Kigami
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 44,7 Mb
Release : 2012-02-22
Category : Mathematics
ISBN : 9780821852996

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Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates by Jun Kigami Pdf

Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

Dillon Mayhew,Gordon Royle,Geoff Whittle
The Internally 4 Connected Binary Matroids with No M K 3 3 Minor Book PDF

Author : Dillon Mayhew,Gordon Royle,Geoff Whittle
Publisher : American Mathematical Soc.
Page : 110 pages
File Size : 51,6 Mb
Release : 2010
Category : Combinatorial designs and configurations
ISBN : 9780821848265

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The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor by Dillon Mayhew,Gordon Royle,Geoff Whittle Pdf

The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.

Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case

Martin C. Olsson
Towards Non Abelian P adic Hodge Theory in the Good Reduction Case Book PDF

Author : Martin C. Olsson
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 46,5 Mb
Release : 2011-02-07
Category : Mathematics
ISBN : 9780821852408

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Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case by Martin C. Olsson Pdf

The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with ``nice compactification'') with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.

Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

Steve Hofmann
Hardy Spaces Associated to Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates Book PDF

Author : Steve Hofmann
Publisher : American Mathematical Soc.
Page : 91 pages
File Size : 47,8 Mb
Release : 2011
Category : Hardy spaces
ISBN : 9780821852385

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Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates by Steve Hofmann Pdf

Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.

On the Shape of a Pure O-sequence

Mats Boij
On the Shape of a Pure O sequence Book PDF

Author : Mats Boij
Publisher : American Mathematical Soc.
Page : 78 pages
File Size : 52,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869109

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On the Shape of a Pure O-sequence by Mats Boij Pdf

A monomial order ideal is a finite collection $X$ of (monic) monomials such that, whenever $M\in X$ and $N$ divides $M$, then $N\in X$. Hence $X$ is a poset, where the partial order is given by divisibility. If all, say $t$, maximal monomials of $X$ have the same degree, then $X$ is pure (of type $t$). A pure $O$-sequence is the vector, $\underline{h}=(h_0=1,h_1,...,h_e)$, counting the monomials of $X$ in each degree. Equivalently, pure $O$-sequences can be characterized as the $f$-vectors of pure multicomplexes, or, in the language of commutative algebra, as the $h$-vectors of monomial Artinian level algebras. Pure $O$-sequences had their origin in one of the early works of Stanley's in this area, and have since played a significant role in at least three different disciplines: the study of simplicial complexes and their $f$-vectors, the theory of level algebras, and the theory of matroids. This monograph is intended to be the first systematic study of the theory of pure $O$-sequences.

General Relativistic Self-similar Waves that Induce an Anomalous Acceleration Into the Standard Model of Cosmology

Joel Smoller,Blake Temple
General Relativistic Self similar Waves that Induce an Anomalous Acceleration Into the Standard Model of Cosmology Book PDF

Author : Joel Smoller,Blake Temple
Publisher : American Mathematical Soc.
Page : 69 pages
File Size : 45,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821853580

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General Relativistic Self-similar Waves that Induce an Anomalous Acceleration Into the Standard Model of Cosmology by Joel Smoller,Blake Temple Pdf

The authors prove that the Einstein equations for a spherically symmetric spacetime in Standard Schwarzschild Coordinates (SSC) close to form a system of three ordinary differential equations for a family of self-similar expansion waves, and the critical ($k=0$) Friedmann universe associated with the pure radiation phase of the Standard Model of Cosmology is embedded as a single point in this family. Removing a scaling law and imposing regularity at the center, they prove that the family reduces to an implicitly defined one-parameter family of distinct spacetimes determined by the value of a new acceleration parameter $a$, such that $a=1$ corresponds to the Standard Model. The authors prove that all of the self-similar spacetimes in the family are distinct from the non-critical $k\neq0$ Friedmann spacetimes, thereby characterizing the critical $k=0$ Friedmann universe as the unique spacetime lying at the intersection of these two one-parameter families. They then present a mathematically rigorous analysis of solutions near the singular point at the center, deriving the expansion of solutions up to fourth order in the fractional distance to the Hubble Length. Finally, they use these rigorous estimates to calculate the exact leading order quadratic and cubic corrections to the redshift vs luminosity relation for an observer at the center.

The Lin-Ni's Problem for Mean Convex Domains

Olivier Druet,Frédéric Robert,Juncheng Wei
The Lin Ni s Problem for Mean Convex Domains Book PDF

Author : Olivier Druet,Frédéric Robert,Juncheng Wei
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 53,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869093

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The Lin-Ni's Problem for Mean Convex Domains by Olivier Druet,Frédéric Robert,Juncheng Wei Pdf

The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$. As a direct consequence, they prove the validity of the Lin-Ni's conjecture in dimension $n=3$ and $n\geq 7$ for mean convex domains and with bounded energy. Recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition.

Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups

Ross Lawther,Donna M. Testerman
Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups Book PDF

Author : Ross Lawther,Donna M. Testerman
Publisher : American Mathematical Soc.
Page : 201 pages
File Size : 41,9 Mb
Release : 2011
Category : Linear algebraic groups
ISBN : 9780821847695

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Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups by Ross Lawther,Donna M. Testerman Pdf

Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.

Definable Additive Categories: Purity and Model Theory

Mike Prest
Definable Additive Categories Purity and Model Theory Book PDF

Author : Mike Prest
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 55,8 Mb
Release : 2011-02-07
Category : Mathematics
ISBN : 9780821847671

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Definable Additive Categories: Purity and Model Theory by Mike Prest Pdf

Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.

Robin Functions for Complex Manifolds and Applications

Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi
Robin Functions for Complex Manifolds and Applications Book PDF

Author : Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi
Publisher : American Mathematical Soc.
Page : 126 pages
File Size : 46,8 Mb
Release : 2011
Category : Complex manifolds
ISBN : 9780821849651

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Robin Functions for Complex Manifolds and Applications by Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi Pdf

"Volume 209, number 984 (third of 5 numbers)."