Vector Bundles On Degenerations Of Elliptic Curves And Yang Baxter Equations
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Vector Bundles On Degenerations Of Elliptic Curves And Yang Baxter Equations
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Author : Igor Burban
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Vector Bundles On Degenerations Of Elliptic Curves And Yang Baxter Equations written by Igor Burban 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 2012 with Mathematics categories.
"November 2012, volume 220, number 1035 (third of 4 numbers)."
Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space
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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.
Elliptic Partial Differential Equations With Almost Real Coefficients
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Author : Ariel Barton
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-22
Elliptic Partial Differential Equations With Almost Real Coefficients written by Ariel Barton 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.
In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in $L^q$ can be solved for $q1$ small enough, and provide an endpoint result at $p=1$.
Strange Attractors For Periodically Forced Parabolic Equations
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Author : Kening Lu
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Strange Attractors For Periodically Forced Parabolic Equations written by Kening Lu 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 prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given.
The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates
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Author : Robert J. Buckingham
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23
The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates written by Robert J. Buckingham 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 2013-08-23 with Mathematics categories.
The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases.
Kuznetsov S Trace Formula And The Hecke Eigenvalues Of Maass Forms
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Author : Andrew Knightly
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Kuznetsov S Trace Formula And The Hecke Eigenvalues Of Maass Forms written by Andrew Knightly 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 give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.
On Some Aspects Of Oscillation Theory And Geometry
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Author : Bruno Bianchini
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23
On Some Aspects Of Oscillation Theory And Geometry written by Bruno Bianchini 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 2013-08-23 with Mathematics categories.
The aim of this paper is to analyze some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.
On The Steady Motion Of A Coupled System Solid Liquid
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Author : Josef Bemelmans
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23
On The Steady Motion Of A Coupled System Solid Liquid written by Josef Bemelmans 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.
The authors study the unconstrained (free) motion of an elastic solid $\mathcal B$ in a Navier-Stokes liquid $\mathcal L$ occupying the whole space outside $\mathcal B$, under the assumption that a constant body force $\mathfrak b$ is acting on $\mathcal B$. More specifically, the authors are interested in the steady motion of the coupled system $\{\mathcal B,\mathcal L\}$, which means that there exists a frame with respect to which the relevant governing equations possess a time-independent solution. The authors prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of $\mathcal B$ satisfies suitable geometric properties.
Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds
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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 $\partial V$ on any standard conformally stationary spacetime $V=\mathbb{R}\times M$, suggests a natural compactification $M_B$ associated to any Riemannian metric on $M$ or, more generally, to any Finslerian one. The corresponding boundary $\partial_BM$ is constructed in terms of Busemann-type functions. Roughly, $\partial_BM$ represents the set of all the directions in $M$ including both, asymptotic and ``finite'' (or ``incomplete'') directions. This Busemann boundary $\partial_BM$ is related to two classical boundaries: the Cauchy boundary $\partial_{C}M$ and the Gromov boundary $\partial_GM$. 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 $M_B$, relating it with the previous two completions, and (3) to give a full description of the causal boundary $\partial V$ of any standard conformally stationary spacetime.
On The Regularity Of The Composition Of Diffeomorphisms
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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 $\mathbb{R}^n$, the authors present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s >\frac{1}{2}\dim M+1$.