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Titlebook: Boundary Value Problems for Transport Equations; Valeri Agoshkov Book 1998 Birkh?user Boston 1998 Boundary value.algorithms.calculus.equat

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發(fā)表于 2025-3-21 17:59:44 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Boundary Value Problems for Transport Equations
影響因子2023Valeri Agoshkov
視頻videohttp://file.papertrans.cn/191/190040/190040.mp4
學(xué)科分類Modeling and Simulation in Science, Engineering and Technology
圖書封面Titlebook: Boundary Value Problems for Transport Equations;  Valeri Agoshkov Book 1998 Birkh?user Boston 1998 Boundary value.algorithms.calculus.equat
影響因子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 extensi
Pindex Book 1998
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Functional spaces, existence of traces, and extension of functions,rned with the spaces ..(Ω х .) that are widely used in transport theory. Our main goal in studying ..(Ω х .) consists of investigating the problem of the existence of traces of functions ? ∈ ..(Ω х .) and in the possibility of extending them to more extensive domains .. The extensions are supposed t
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Applications to analysis of transport problems and numerical algorithms,tral problems) and to justify numerical algorithms for solving the transport equation with only “generalized regularity.” In this chapter we use properties of reflection operators to formulate a number of domain decomposition algorithms for the transport equation. Moreover, these algorithms will be
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Variational statements and generalized solutions of transport problems,hey satisfy the equation a.e. in Ω х . and the boundary condition a.e. in Ω х ?.- (or, for periodic problems, they satisfy periodic conditions a.e.). As we shall see later, generalized solutions can sometimes belong only to the space .(Ω х .), and weakened restrictions are imposed on the original da
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2164-3679 ntly complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensi978-1-4612-7372-1978-1-4612-1994-1Series ISSN 2164-3679 Series E-ISSN 2164-3725
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Book 1998stigations 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 extensi
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https://doi.org/10.1007/b105852derive the transport equations for the case of neutron transport. 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 i
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