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Field name	Details
Dewey Class	530.1360151535
Title	The Cauchy problem in kinetic theory ([Ebook]) / Robert T. Glassey.
Author	Glassey, Robert , 1946-
Publication	Philadelphia, Pa : Society for Industrial and Applied Mathematics , 1996.
Physical Details	1 online resource (xii, 236 pages)
Series	Other Titles in Applied Mathematics
ISBN	9781611971477
Summary Note	This clearly written, self-contained volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term.The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with “small” and “near equilibrium” data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more.:
Mode of acces to digital resource	Digital reproduction. Philadelphia : Society for Industrial and Applied Mathematics, 1996. Access restricted to SISSA internal users ; Digital files written in PDF mode and can be read using Adobe Acrobat Reader software
System details note	Online access to this digital book is available through World Wide Web and with IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1137/1.9781611971477
Links to Related Works	Subject References: Cauchy problem . Kinetic theory of matter . Mathematical Physics . Transport theory . Authors: Glassey, Robert 1946- . Series: Other Titles in Applied Mathematics . Classification: 530.1360151535 .

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The Cauchy problem in kinetic theory

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