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Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity
  • Language: en
  • Pages: 170
Theory and Experiment Heading for New Physics
  • Language: en
  • Pages: 260

Theory and Experiment Heading for New Physics

The third conference on ?Symmetry and Perturbation Theory? (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field ? more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.

Hamiltonian Dynamical Systems and Applications
  • Language: en
  • Pages: 450

Hamiltonian Dynamical Systems and Applications

This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.

Global Smooth Solutions for the Inviscid SQG Equation
  • Language: en
  • Pages: 102

Global Smooth Solutions for the Inviscid SQG Equation

In this paper, the authors show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.

Theory of Fundamental Bessel Functions of High Rank
  • Language: en
  • Pages: 138

Theory of Fundamental Bessel Functions of High Rank

In this article, the author studies fundamental Bessel functions for $mathrm{GL}_n(mathbb F)$ arising from the Voronoí summation formula for any rank $n$ and field $mathbb F = mathbb R$ or $mathbb C$, with focus on developing their analytic and asymptotic theory. The main implements and subjects of this study of fundamental Bessel functions are their formal integral representations and Bessel differential equations. The author proves the asymptotic formulae for fundamental Bessel functions and explicit connection formulae for the Bessel differential equations.

Fixed Point Theory and Its Applications
  • Language: en
  • Pages: 254

Fixed Point Theory and Its Applications

  • Type: Book
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  • Published: 2007
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  • Publisher: Unknown

None

Degree Theory of Immersed Hypersurfaces
  • Language: en
  • Pages: 74

Degree Theory of Immersed Hypersurfaces

The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.

Hamiltonian Partial Differential Equations and Applications
  • Language: en
  • Pages: 453

Hamiltonian Partial Differential Equations and Applications

  • Type: Book
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  • Published: 2015-09-11
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  • Publisher: Springer

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves. The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations.

Conformal Symmetry Breaking Differential Operators on Differential Forms
  • Language: en
  • Pages: 124

Conformal Symmetry Breaking Differential Operators on Differential Forms

We study conformal symmetry breaking differential operators which map dif-ferential forms on Rn to differential forms on a codimension one subspace Rn−1. These operators are equivariant with respect to the conformal Lie algebra of the subspace Rn−1. They correspond to homomorphisms of generalized Verma mod-ules for so(n, 1) into generalized Verma modules for so(n+1, 1) both being induced from fundamental form representations of a parabolic subalgebra. We apply the F -method to derive explicit formulas for such homomorphisms. In particular, we find explicit formulas for the generators of the intertwining operators of the re-lated branching problems restricting generalized Verma modules...

The Mother Body Phase Transition in the Normal Matrix Model
  • Language: en
  • Pages: 156

The Mother Body Phase Transition in the Normal Matrix Model

In this present paper, the authors consider the normal matrix model with cubic plus linear potential.