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Titlebook: Boundary Value Problems in Abstract Kinetic Theory; William Greenberg,Cornelis Mee,Vladimir Protopopes Book 1987 Springer Basel AG 1987 Ar

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期刊全称Boundary Value Problems in Abstract Kinetic Theory
影响因子2023William Greenberg,Cornelis Mee,Vladimir Protopopes
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学科分类Operator Theory: Advances and Applications
图书封面Titlebook: Boundary Value Problems in Abstract Kinetic Theory;  William Greenberg,Cornelis Mee,Vladimir Protopopes Book 1987 Springer Basel AG 1987 Ar
影响因子This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an
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0255-0156 Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied ga
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Book 1987t, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics
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Elements of Linear Kinetic Theory, frequency. At the boundary ∂Ω of the spatial domain Ω, particles or radiation may be incident from outside and may be exiting the medium, and reflection and absorption processes may be specified. One may also deal with particle or radiative sources within the region Ω.
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Applications of the Initial Value Problem,rons by a thermalizing medium. In the following, a linearized Boltzmann equation is presented, which describes the drift of electrons in a weakly ionized gas. Finally, in the last section, we will outline a biological model for the growth of cells, due to Rotenberg, Lebowitz and Rubinow.
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