7 edition of **Geometric wave equations** found in the catalog.

- 166 Want to read
- 28 Currently reading

Published
**2000**
by Courant Institute of Mathematical Sciences, American Mathematical Society in New York, Providence, Rhode Island
.

Written in English

- Wave equation,
- Nonlinear waves

**Edition Notes**

Statement | Jalal Shatah, Michael Struwe. |

Series | Courant lecture notes ;, 2 |

Classifications | |
---|---|

LC Classifications | QC174.26.W28 S42 2000 |

The Physical Object | |

Pagination | xi, 137 p. : |

Number of Pages | 137 |

ID Numbers | |

Open Library | OL6794863M |

ISBN 10 | 0821827499 |

LC Control Number | 00063945 |

In this paper we consider the Degasperis-Procesi equation, which is an approximation to the incompressible Euler equation in shallow water regime. First we provide the existence of solitary wave solutions for the original DP equation and the general theory of geometric singular perturbation. Then we prove the existence of solitary wave solutions for the equation with a special local delay. introductory applications of partial differential equations With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have some familiarity with partial differential equations, and who now wish to consolidate and expand their knowledge.

The wave speed calculation is identical to the geometric form. The exponent in Equations 8a and 8b controls the sharpness of the wave crests. Amplitude and Precision. We determine the amplitude of each wave as we did with geometric waves, keeping amplitude over wavelength a constant ratio, kAmpOverLen. This leads to an interesting optimization. In this chapter we will take up the study of the wave equations in one dimension and study the propagation of the wave in a region with inhomogeneous properties of refractive index by analyzing the reflection and transmission functions for the region. In the previous chapter we studied these functions in the context of particle transport.

where J a vector in spacetime, representing the charge and current, and F is a bivector, representing the electromagnetic field. It is worth learning the geometric algebra (aka Clifford algebra) formalism just to see this result. It is also interesting to apply the correspondence principle, to see how this equation reproduces results that may be more familiar in other forms. Geometry. Advanced Euclidean geometry, algebraic geometry, combinatorial geometry, differential geometry, fractals, projective geometry, inversive geometry, vector geometry, and other topics: our collection of low-priced and high-quality geometry texts runs the full spectrum of the discipline.

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The book is suitable for use in a graduate-level course on the topic. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Geometric Wave Equations by Jalal Shatah, Michael Struwe. Focuses on semilinear wave equations with critical Sobolev exponents and on wave maps in two space. Geometric Wave Equations (Courant Lecture Notes) by Jalal Shatah and Michael Struwe (Author) ISBN ISBN Why is ISBN important. ISBN.

This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both by: This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions.

Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on 3/5(1).

Geometric Wave Equations by Stefan Waldmann. Publisher: arXiv Number of pages: Description: In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed including a detailed.

Mathematics Subject y 35– Library of Congress Cataloging-in-Publication Data Shatah, Jalal M. Ihsan, – Geometric wave equations / Jalal Shatah, Michael Struwe. In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators Geometric wave equations book discussed including a detailed treatment of the Cauchy problem on a globally hyperbolic manifold both for the smooth and finite order.

Geometric optics and the wave equation on manifolds with corners Andr´as Vasy 1. Introduction According to geometric optics, light propagates in straight lines (in homoge-neous media), reﬂects/refracts from surfaces according to Snell’s law: energy and tangential momentum are conserved.

Thus, when reﬂecting from a hypersurface. Geometrical optics, or ray optics, is a model of optics that describes light propagation in terms of ray in geometric optics is an abstraction useful for approximating the paths along which light propagates under certain circumstances.

The simplifying assumptions of geometrical optics include that light rays: propagate in straight-line paths as they travel in a homogeneous medium.

Geometric Partial Differential Equations - Part 2, Vol includes basic ideas, analyses and applications of state-of-the-art, fundamental algorithms surrounding the approximation of geometric PDEs, along with their impact in a variety of fields within mathematics, science and rs in this latest release include Optimal control of geometric partial differential equations.

Geometric Wave Equations 作者: Jalal Shatah and Michael Struwe 出版社: American Mathematical Society, Courant Institute of Mathematical Sciences at New York University 出版年: 页数: 定价: USD 装帧: Paperback 丛书: Courant Lecture Notes in Mathematics. Physical Optics Lecture Notes (PDF 44P) This note covers the following topics: elementary electromagnetic waves, maxwells equations, the material equations and boundary conditions, Poynting's vector and the energy law, the wave equation and the speed of light, scalar waves, pulse propagation in a dispersive medium, general electromagnetic plane wave, harmonic electromagnetic.

wave equation and spectrum of the Laplacian, and problems on compact pendix I wrote for the book [Be-2]. This book may also be consulted for basic formulas in geometry.2 At some places, I have added supplementary some basic geometry formulas are collected in an Appendix at the end of these notes.

Book January J.M. S M. S: Geometric wave equations. American Mathematical Society, Providence, [16] C. S: Lectures on non-linear wave equations. International Press, Boston, The wave equation --Conservation laws --Function spaces --The linear wave equation --Well-posedness --Semileaner wave equations --Wave maps --Wave maps with symmetry.

Series Title: Courant lecture notes in mathematics, 2. Responsibility: Jalal Shatah, Michael Struwe. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions.

Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic. Seller Inventory # AAN Geometric wave equations. [Jalal M Ihsan Shatah; Michael Struwe] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Jalal M Ihsan Shatah; Michael Struwe. Find more information about: ISBN: Buy A Vector Field Method on the Distorted Fourier Side and Decay for Wave Equations with Potentials by Roland Donninger, Joachim Krieger from Waterstones today.

Click and Collect from your local Waterstones or get FREE UK delivery on orders over £ The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity.

Find the dimension of `k`. Jonathan Luk, Improved decay for solutions to the linear wave equation on a Schwarzschild black hole, Ann. Henri Poincaré 11 (), no. 5, – MR/s; Jonathan Luk, A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole, Anal.

My research combines analytic and geometric techniques to study nonlinear evolutionary partial differential equations that arise in physical and geometric contexts. I am particularly interested in situations where wave-like phenomena arise, such as general relativity, fluids, and the physics of elastic membranes and solids.

Geometric mean formula, as the name suggests, is used to calculate the geometric mean of a set of numbers. To recall, the geometric mean (or GM) is a type of mean that indicates the central tendency of a set of numbers by using the product of their values.Wave Terms.

Using new wave equations to describe the true behavior of subatomic particles, six papers outline new equations and constants in Particle Energy and Interaction, Atomic Orbitals, Forces, Photons, Fundamental Physical Constants, and Key Physics Equations and Experiments.2 Wave equation, speed of sound, and acoustic energy 8 Order of magnitude estimates Among the literature on acoustics the book of Pierce [] is an excellent introduction available for a low price from the Acoustical Society of America.