Free boundary problems: Applications and theory. Volumes III, IV. (Proceedings of the International Colloquium: ‘Problèmes à Frontières Libres. Applications et Théorie’, held in Maubuisson, France, June 7–16, 1984). (English) Zbl 0578.35003

Research Notes in Mathematics, 120, 121. Boston - London - Melbourne: Pitman Advanced Publishing Program. XI, 613 p. (1985).

These volumes contain the proceedings of the International Colloquium: ”Problèmes à Frontière libres. Applications et Théorie”, held in Manbuisson (France) from 7 to 16 June 1984. The occurrence of ’free boundaries’ or ’moving boundaries’, i.e. frontiers between spatial zones with different physical characteristics where location is not prescribed in advance - is a frequently encountered nature of the evolution of systems in engineering or physics. The versatility of this subject explains its central role in the widely scattered field of applied mathematical modelling. The contributed papers are focused in 8 topical chapters: Stefan problems, Generalized Stefan problems, Porous media, Solid mechanics, Fluid mechanics, Reaction diffusion, Control, Mathematical and numerical methods.

MSC:

35-06	Proceedings, conferences, collections, etc. pertaining to partial differential equations
00B25	Proceedings of conferences of miscellaneous specific interest
35R35	Free boundary problems for PDEs
35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35J65	Nonlinear boundary value problems for linear elliptic equations
35L60	First-order nonlinear hyperbolic equations
49J40	Variational inequalities
47H10	Fixed-point theorems
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N06	Finite difference methods for boundary value problems involving PDEs
35K20	Initial-boundary value problems for second-order parabolic equations
76S05	Flows in porous media; filtration; seepage
76D05	Navier-Stokes equations for incompressible viscous fluids
92D25	Population dynamics (general)

Keywords:

free boundary problems; Proceedings; Colloquium; Maubuisson/France; free boundaries; moving boundaries; evolution of systems; mathematical modelling; Stefan problems; generalized Stefan problems; porous media; solid mechanics; fluid mechanics; reaction diffusion; control; mathematical and numerical methods