By G. P. Astrakhantsev (auth.), V. M. Babich (eds.)
The papers comprising this assortment are without delay or ultimately concerning an incredible department of mathematical physics - the mathematical conception of wave propagation and diffraction. The paper by way of V. M. Babich is anxious with the applying of the parabolic-equation strategy (of Academician V. A. Fok and M. A, Leontovich) to the matter of the asymptotic habit of eigenfunc tions focused in an area of a closed geodesie in a Riemannian house. The thoughts utilized in this paper were föund priceless in fixing yes difficulties within the concept of open resonators. the subject of G. P. Astrakhantsev's paper is identical to that of the paper by way of V. M. Babich. the following additionally the parabolic-equation strategy is used to discover the asymptotic answer of the pliancy equations which describes Love waves focused in an area of a few floor ray. The paper of T. F. Pankratova is worried with discovering the asymptotic habit of th~ eigenfunc tions of the Laplace operator from the precise resolution for the skin of a triaxial ellipsoid and the re gion external to it. the 1st 3 papers of B. G. Nikolaev are just a little except the significant topic of the col lection; they deal with the quintessential transforms with appreciate to linked Legendre features of first variety and their functions. Examples of such purposes are using this remodel for the answer of indispensable equations with symmetrie kernels and for the answer of convinced difficulties within the conception of electric prospecting.
Read Online or Download Mathematical Problems in Wave Propagation Theory PDF
Best Theory books
Ronald Dworkin's paintings on equality has formed debates within the box of distributive justice for almost 3 many years. during this booklet Alexander Brown makes an attempt to supply a critique but in addition a defence of that paintings, and to increase equality of assets globally.
The publication includes papers by means of individuals of the Chapel Hill Ergodic idea Workshops equipped in February 2004, 2005, and 2006. issues lined via those papers illustrate the interplay among ergodic concept and comparable fields equivalent to harmonic research, quantity thought, and likelihood thought.
Amin, the most influential economists at the present time, examines the altering suggestion of difficulty in capitalism; misconceptions of the unfastened industry version; some of the distortions of Marx's strategy; the function of tradition in revolutions; the decline of the "law of price" in economics; the philosophical roots of postmodernism; how telecommunications impact ideology; and the parable of "pure economics.
Extra info for Mathematical Problems in Wave Propagation Theory