Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales: 7 (Progress ... Equations and Their Applications) - Softcover

Buch 1 von 53: Progress in Nonlinear Differential Equations and Their Applications
 
9781461267416: Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales: 7 (Progress ... Equations and Their Applications)
Softcover
ISBN 10: 1461267412 ISBN 13: 9781461267416
Verlag: Birkhäuser, 2012

Inhaltsangabe

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math­ ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn­ damental questions concern the existence, uniqueness and regularity of so­ lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

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Críticas

"The book is worth reading for research workers in meteorology and geophysics, willing to deal with powerful tools of applied mathematics."
--MAP

Reseña del editor

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math­ ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn­ damental questions concern the existence, uniqueness and regularity of so­ lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
1461267412
ISBN 13 
9781461267416
Einband
Tapa blanda
Anzahl der Seiten
588
Herausgeber
Lloyd N.G, Ni M.G., Peletier L.A., Serrin J.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780817635312: Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 20-29, 1989 in Gregynog, Wales: 7 (Progress ... Equations and Their Applications)

Vorgestellte Ausgabe

ISBN 10:  0817635319 ISBN 13:  9780817635312
Verlag: Birkhäuser, 1991
Hardcover