Boundary value problems for transport equations by V. I. Agoshkov

Cover of: Boundary value problems for transport equations | V. I. Agoshkov

Published by Birkhäuser Boston in Boston .

Written in English

Read online

Subjects:

  • Transport theory -- Mathematics.,
  • Boundary value problems.,
  • Mathematical physics.

Edition Notes

Includes bibliographical references (p. [271]-278) and index.

Book details

StatementValeri Agoshkov.
SeriesModeling and simulation in science, engineering, and technology, Modeling and simulation in science, engineering & technology.
Classifications
LC ClassificationsQC175.2 .A347 1998
The Physical Object
Paginationxvii, 278 p. :
Number of Pages278
ID Numbers
Open LibraryOL345704M
ISBN 100817639861, 3764339861
LC Control Number98004737

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In the modern theory of boundary value problems the following ap­ proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob­ the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are Cited by: In the modern theory of boundary value problems the following ap­ proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob­ the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data Boundary value problems for transport equations book the problems are.

1 Problems and equations of transport theory.- Some notions of transport theory.- Basic transport equations.- Boundary conditions and statements of problems.- Typical boundary value problems.- Integral equations of transport theory.- Adjoint problems.- Correctness of statements and need of new functional spaces.- 2 Functional spaces, existence of.

Problems and equations of transport theory Functional spaces, existence of traces, and extension of functions Variational statements and generalized solutions of transport problems Regularity properties of generalized solutions ISBN: OCLC Number: Description: 1 online resource ( pages) Contents: 1 Problems and equations of transport theory Some notions of transport theory Basic transport equations Boundary conditions and statements of problems Typical boundary value problems Integral equations of transport.

Request PDF | Boundary value problems for transport equations | The first order scalar differential equation \({\rm \mathbf{u}}. \nabla \varphi + b\varphi = f,\) which is called the transport. Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions.

The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. We demonstrate the forms of the transport equation in some geometries (plane-parallel, cylindrically-symmetrical, spherically-symmetrical) and obtain some integral transport equations.

Because adjoint problems play an essential role in numerical analysis and in the theory of boundary value problems, we formulate in addition a number of adjoint Author: Valeri Agoshkov. Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems.

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and established some basic well-posedness results for stationary transport problems associated to (a). In Section 3, we extend Cessenat’s theory of traces and prove the well-posedness of the initial-boundary value problem () for a large class of boundary operators.

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