5 edition of **Reimann Waves and Their Applications (Research Notes in Mathematics Series)** found in the catalog.

- 50 Want to read
- 31 Currently reading

Published
**April 1993**
by Longman Publishing Group
.

Written in English

- Differential & Riemannian geometry,
- Analytic Mechanics (Mathematical Aspects),
- Science,
- Science/Mathematics,
- Differential Equations - Partial Differential Equations,
- General

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 228 |

ID Numbers | |

Open Library | OL7879855M |

ISBN 10 | 0582215404 |

ISBN 10 | 9780582215405 |

9{Shock Waves and the Riemann Problem MATH 22C 1. Introduction The purpose of this section is to solve the so called Rie-mann problem for Burgers equation and for the p-system. The Riemann problem is the initial value problem when the initial data consists of two constant states UL and UR separated by a jump discontinuity at x= 0. That is, theFile Size: 1MB. SONAR, Sound Navigation, and Ranging is a technique in which sound waves are used to navigate, detect and communicate under the surface of the water. Echolocation: Echolocation is the process where sound waves and echoes are used to determine objects in space. Echolocation is used by bats to navigate and find their food in the dark.

@article{osti_, title = {The Riemann problem and interaction of waves in gas dynamics}, author = {Chang, Tung and Hsiao, Ling}, abstractNote = {The initial-value problem constructed by Riemann () to describe the motion of an ideal gas in a shock tube is investigated analytically, with an emphasis on the mathematical aspects.. Topics addressed include the simplest Riemann model and. Photon wave function In contribution to quantum electrodynamics, Iwo Bialynicki-Birula used the Riemann–Silberstein vector as the basis for an approach to the photon, noting that it is a "complex vector-function of space coordinates r and time t that adequately describes the quantum state of .

Equation () is a simple example of wave equation; it may be used as a model of an inﬁnite elastic string, propagation of sound waves in a linear medium, among other numerous applications. We shall discuss the basic properties of solutions to the wave equation (), as well as its multidimensional and non-linear Size: KB. Science Dimensions: Student Edition Module L Grades Waves and Their Applications Paperback – January 1, by HOUGHTON MIFFLIN HARCOURT (Author) out of 5 stars 1 rating. See all formats and editions Hide other 5/5(1).

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Part of the "Pitman Research Notes in Mathematics" series, this text examines Riemann waves and their various applications. Rating: (not yet rated) 0 with reviews - Be the first. Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and Reimann Waves and Their Applications book sciences that involve non-differentiable behaviors.

The methods of integral transforms via local fractional calculus have been used to solve various local. One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering―including new applications and ideas.

Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today/5(2). Generalized Riemann waves and their adjoinment through a shock wave. The first part of the paper deals with constructing a solution describing their adjoinment through a shock wave in Eulerian coordinates.

Even though the Eulerian form of the gas dynamics equations is most frequently used in applications, there are advantages for some Cited by: 1. Evolution of a Riemann wave in dispersive hydrodynamics Article (PDF Available) in Journal of Experimental and Theoretical Physics - January.

We hope that the study of 2-D scalar Riemann problems will be similarly useful. As we will see, 2-D Riemann problems are a lot more complicated than the 1-D problems, with a difficulty level being roughly equal to, if not exceeding, that of the interaction of solutions of the 1-D Riemann : Yuxi Zheng.

Wave interactions and stability of the Riemann solutions for the chromatography equations Article in Journal of Mathematical Analysis and Applications (2) May with 28 ReadsAuthor: Chun Shen.

And we investigate the elementary waves containing the shock, rarefaction waves and the contact discontinuity and their important properties. With the characteristic method, we obtain constructively the existence and uniqueness of the solutions of the Riemann problem (4), (5).Cited by: One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering—including new applications and ideas.

Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity, Electromagnetic Theory and many other disciplines of Science and Engineering.

This book has been presented in such a clear and easy way that the students will have no difficulty in understanding Size: 1MB. Parts of longitudinal waves: Compression: where the particles are close together.

Rarefaction: where the particles are spread apart. Electromagnetic Waves: Radio signals, light rays, x-rays, and cosmic rays. Mechanical waves: A wave which needs a medium in order to propagate itself.

Sound waves, waves in a Slinky, and water waves are all examples of this. Toro E F. Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Edition. Springer-Verlag Berlin Heidelberg,pages. Online Stores: Description and Review on Description on Springer (Kluwer Academic/Plenum Publishers) Toro E F (Editor).

Godunov Methods: Theory and Applications. Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator D = (),and of the integration operator J = ∫ (),and developing a calculus for such operators generalizing the classical one.

In this context, the term powers refers to iterative application of a. Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 76) Consider the following quasilinear system of conservation laws: where u = (u 1,u n) T is the unknown vector function of (t, x) and f (u) = (f 1 (u),f n (u)) T is a given C 3 vector function of by: 2.

Applications of Dynamical Systems in Biology and Medicine Series: The IMA Volumes in Mathematics and its Applications, Vol. Jackson, Trachette, Radunskaya, Ami (Eds.) The Riemann problem for the kinematic wave equation with convex/concave flux.

Example of a conservation law with a point source term. Shock structure and detailed physics. Examples: Viscosity solution. Traffic flow.

Flood waves. Shallow water. Shallow water and higher order terms. Traveling waves, shocks, and the effects of dispersion. conjugation, etc.). Three dimensional Fourier transforms with examples. Application of Fourier Transforms to differential equations: One dimensional Wave.

4 Applications of Fractional Calculus The basic mathematical ideas of fractional calculus (integral and diﬀerential operations of noninteger order)were developed long ago by the mathematicians Leibniz (), Liouville (), Riemann (), and others and brought to the attention of the engineering world by Oliver Heaviside in the s, itFile Size: KB.

We analyze rarefaction wave interactions of self-similar transonic irrotational flow in gas dynamics for two dimensional Riemann problems.

We establish the existence result of the supersonic solution to the prototype nonlinear wave system for the sectorial Riemann data, and study the formation of the sonic boundary and the transonic : Eun Heui Kim, Charis Tsikkou.

Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function, generalized Mittag-Leffler functions, Mittag-Leffler type functions, and their interesting and useful by:.

Riemann Integration1 1TheIntegral Through the work on calculus, particularly integration, and its applica-tion throughout the 18th century was formidable, there was no actual “theory” for it. The applications of calculus to problems of physics, i.e.

partial differential equations, and the fledgling ideas of function representationFile Size: KB.wave equations and their soliton interactions: Theory and applications" 9. Efstathios Charalampidis, Fotini Tsitoura: "Nonlinear evolutionary equations: Theory, numerics and experiments" Robin Ming Chen, Runzhang Xu: "Recent advances in PDEs from luid File Size: 1MB.Conceserning my second question, I am actually trying to understand the application of the Method of Characterestics to treat the boundary conditions, and in a given reference, the author states that when in an open tube, the flow is entering with a subsonic speed, he considers only one characterestic, that is to say, one riemann invariant.