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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Boundary Value Problems for Transport Equations

Boundary Value Problems for Transport Equations

Agoshkov, Valeri

Paperback

Series: Modeling and Simulation in Science, Engineering and Technolo

General GardeningGeneral Mathematics

ISBN10: 1461273722
ISBN13: 9781461273721
Publisher: Springer Nature
Published: Oct 23 2012
Pages: 278
Weight: 0.93
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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 analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob- lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].

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