Author: H.G. KAPERPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A FREE BOUNDARY PROBLEM ARISING IN PLASMA PHYSICS.
Author: H.G. KAPERA Free Boundary Problem Arising in Plasma Physics
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 11
Book Description
This article is concerned with free boundary problems for the differential equation u{double prime} + (1/x)u(prime) + f(u) = 0, x> 0. In particular, it addresses the questions of existence and uniqueness of a finite point P and a solution u satisfying the conditions u(prime)(0) = 0; u(x)> 0, 0
On a Free Boundary Problem Arising in Plasma Physics
Author: Henri BerestyckiA dynamic free-boundary problem in plasma physics
Author: Yoshikazu GigaFree Boundary Problems in Fluid Flow with Applications
Author: J M ChadamPublisher: CRC Press
ISBN: 9780582215672
Category : Mathematics
Languages : en
Pages : 278
Book Description
This is the third of three volumes containing the proceedings of the International Colloquium 'Free Boundary problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main part of this volume studies the flow of fluids, an area which has led to many of the classical free boundary problems. The first two sections contain the papers on various problems in fluid mechanics. The types of problems vary fromthe collision of two jets to the growth of a sand wave. In the next two sections porous flow is considered. This has important practical applications in fields such as petroleum engineering and groundwater pollution. Some new and interesting free boundary problems in geology and engineering are treated in the final section.
Variational and Free Boundary Problems
Author: Avner FriedmanPublisher: Springer Science & Business Media
ISBN: 1461383579
Category : Science
Languages : en
Pages : 210
Book Description
This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera ture within the water. Some free boundary problems lend themselves to variational formulation.
Free Boundary Problems in PDEs and Particle Systems
Author: Gioia CarinciPublisher: Springer
ISBN: 3319333704
Category : Mathematics
Languages : en
Pages : 106
Book Description
In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases.All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms.In general researchers interested in the relations between PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics.
On the boundary values of solutions of a problem arising in plasma physics
Author: Catherine BandleOn Uniqueness of Boundary Values of Solutions of a Problem Arising in Plasma Physics
Author: Moshe MarcusPublisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 24
Book Description
Free Boundary Problems
Author: Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 534
Book Description