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This volume contains the proceedings of the Workshop Energy Methods
for Free Boundary Problems in Continuum Mechanics, held in Oviedo,
Spain, from March 21 to March 23, 1994. It is well known that the
conservation laws and the constitutive equations of Continuum
Mechanics lead to complicated coupled systems of partial
differential equations to which, as a rule, one fails to apply the
techniques usually employed in the studies of scalar uncoupled
equations such as, for instance, the maximum principle. The study
of the qualitative behaviour of solutions of the systems re quires
different techniques, among others, the so called, Energy Methods
where the properties of some integral of a nonnegative function of
one or several unknowns allow one to arrive at important
conclusions on the envolved unknowns. This vol ume presents the
state of the art in such a technique. A special attention is paid
to the class of Free Boundary Problems. The organizers are pleased
to thank the European Science Foundation (Pro gram on Mathematical
treatment of free boundary problems), the DGICYT (Spain), the FICYT
(Principado de Asturias, Spain) and the Universities of Oviedo and
Complutense de Madrid for their generous financial support.
Finally, we wish to thank Kluwer Academic Publishers for the
facilities received for the publication of these Proceedings."
This volume contains the proceedings of the Workshop Energy Methods
for Free Boundary Problems in Continuum Mechanics, held in Oviedo,
Spain, from March 21 to March 23, 1994. It is well known that the
conservation laws and the constitutive equations of Continuum
Mechanics lead to complicated coupled systems of partial
differential equations to which, as a rule, one fails to apply the
techniques usually employed in the studies of scalar uncoupled
equations such as, for instance, the maximum principle. The study
of the qualitative behaviour of solutions of the systems re quires
different techniques, among others, the so called, Energy Methods
where the properties of some integral of a nonnegative function of
one or several unknowns allow one to arrive at important
conclusions on the envolved unknowns. This vol ume presents the
state of the art in such a technique. A special attention is paid
to the class of Free Boundary Problems. The organizers are pleased
to thank the European Science Foundation (Pro gram on Mathematical
treatment of free boundary problems), the DGICYT (Spain), the FICYT
(Principado de Asturias, Spain) and the Universities of Oviedo and
Complutense de Madrid for their generous financial support.
Finally, we wish to thank Kluwer Academic Publishers for the
facilities received for the publication of these Proceedings.
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