Preface
This book is the culmination of the NATO Advanced Study Institute on
The Mathematics of Models for Climatology and Environment which was
held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One
of the main goals of the ASI was to establish a bridge between mathematical
modellers on the one hand and physical oceanographers and climatologists
on the other.
The book is divided into fourth parts containing a total of 16 chapters:
Parts I, II and III are devoted to general models and Part IV to models related
to some local problems. Most of the mathematical models here considered
involve systems of nonlinear partial differential equations. The mathematical treatment cover a large list of subjects: existence and uniqueness for
well-possed problems, large time behaviour, stability, bifurcation,diagrams
of equilibria, conditions for the occurrence of interfaces or free boundaries,
numerical algorithms and its implementation, controllability of the problems,
etc.
I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their
guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial
and G. Diaz for their help in the planning and conduct of the ASI as well as
in the preparation of this book.
The Advanced Study Institute was sponsored by NATO. Some partial
supports were received from the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems, the Universities of La Laguna and Las Palmas, and the Cabildo Insular de Canarias. I
gratefully acknowledge those institutions which made possible the AS!.
J.I.Dfaz
This book is the culmination of the NATO Advanced Study Institute on
The Mathematics of Models for Climatology and Environment which was
held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One
of the main goals of the ASI was to establish a bridge between mathematical
modellers on the one hand and physical oceanographers and climatologists
on the other.
The book is divided into fourth parts containing a total of 16 chapters:
Parts I, II and III are devoted to general models and Part IV to models related
to some local problems. Most of the mathematical models here considered
involve systems of nonlinear partial differential equations. The mathematical treatment cover a large list of subjects: existence and uniqueness for
well-possed problems, large time behaviour, stability, bifurcation,diagrams
of equilibria, conditions for the occurrence of interfaces or free boundaries,
numerical algorithms and its implementation, controllability of the problems,
etc.
I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their
guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial
and G. Diaz for their help in the planning and conduct of the ASI as well as
in the preparation of this book.
The Advanced Study Institute was sponsored by NATO. Some partial
supports were received from the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems, the Universities of La Laguna and Las Palmas, and the Cabildo Insular de Canarias. I
gratefully acknowledge those institutions which made possible the AS!.
J.I.Dfaz