|
Showing 1 - 18 of
18 matches in All Departments
Pierre Grisvard, one of the most distinguished French
mathematicians, died on April 22, 1994. A Conference was held in
November 1994 out of which grew the invited articles contained in
this volume. All of the papers are related to functional analysis
applied to partial differential equations, which was Grisvard's
specialty. Indeed his knowledge of this area was extremely broad.
He began his career as one of the very first students of Jacques
Louis Lions, and in 1965, he presented his "State Thesis" on
interpolation spaces, using in particular, spectral theory for
linear operators in Banach spaces. After 1970, he became a
specialist in the study of optimal regularity for par tial
differential equations with boundary conditions. He studied
singulari ties coming from coefficients, boundary conditions, and
mainly non-smooth domains, and left a legacy of precise results
which have been published in journals and books. Pierre Grisvard
spent most of his career as a full professor at the University of
Nice, where he started in 1967. For shorter or longer periods, he
visited several foreign countries, and collaborated with some of
the most famous mathematicians in his field. He was also an
excellent organizer and directed a large number of Ph.D. students.
Finally, this volume contains a bibliography of Grisvard's works as
well as one paper which he wrote and which has not been published
before."
INRIA, Institut National de Recherche en Informatique et en
Automatique
This IMA Volume in Mathematics and its Applications Homogenization
and Effective Moduli of Materials and Media represents the
proceedings of a workshop which was an integral part of the 19R4-R5
IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL
EQUATIONS. We are grateful to the Scientific Committee: J . L.
Ericksen D. Kinderlehrer H. Brezis C. Dafermos for their dedication
and hard work in rleveloping an imaginative, stimulating, and
productive year-long program. George R. Sell Hans Weinherger
PREFACE The papers in this volume were presented at a workshop on
homogenization of differential equations and the determination of
effective moduli of materials and media, primarily in the context
of continuum theory. These areas are closely linked to a variety of
phenomena, such as the elastic and dielectric responses of
composites, and the effective properties of shales and soils. For
instance, the ability to predict the effective stiffness response
of a composite across a broad range of frequencies allows its
performance under given circumstances to be assessed by means of
nondestructive testing. A fundamental mathematical tool is
homogenization, the study of partial differential equations with
rapidly varying coefficients or boundary conditions. The recent
alliance of homogenization with optimal design has stimulated the
development of both fields. The presentations at the workshop
emphasized recent advances and open questions.
1. We begin by giving a simple example of a partial differential
inequality that occurs in an elementary physics problem. We
consider a fluid with pressure u(x, t) at the point x at the
instant t that 3 occupies a region Q oflR bounded by a membrane r
of negligible thickness that, however, is semi-permeable, i. e., a
membrane that permits the fluid to enter Q freely but that prevents
all outflow of fluid. One can prove then (cf. the details in
Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o,
-a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given
function, with boundary conditions in the form of inequalities u(X,
to => au(x, t)/an=O, XEr, (2) u(x, t)=o => au(x, t)/an?: O,
XEr, to which is added the initial condition (3) u(x, O)=uo(x). We
note that conditions (2) are non linear; they imply that, at each
fixed instant t, there exist on r two regions r and n where u(x, t)
=0 and au (x, t)/an = 0, respectively. These regions are not
prescribed; thus we deal with a "free boundary" problem.
These lecture notes by very authoritative scientists survey recent
advances of mathematics driven by industrial application showing
not only how mathematics is applied to industry but also how
mathematics has drawn benefit from interaction with real-word
problems.
The famous David Report underlines that innovative high technology
depends crucially for its development on innovation in mathematics.
The speakers include three recent presidents of ECMI, one of
ECCOMAS (in Europe) and the president of SIAM.
This book contains the written versions of lectures delivered since
1997 in the well-known weekly seminar on Applied Mathematics at the
College de France in Paris, directed by Jacques-Louis Lions. It is
the 14th and last of the series, due to the recent and untimely
death of Professor Lions.
The texts in this volume deal mostly with various aspects of the
theory of nonlinear partial differential equations. They present
both theoretical and applied results in many fields of growing
importance such as Calculus of variations and optimal control,
optimization, system theory and control, operations research,
fluids and continuum mechanics, nonlinear dynamics, meteorology and
climate, homogenization and material science, numerical analysis
and scientific computations
The book is of interest to everyone from postgraduate, who wishes
to follow the most recent progress in these fields.
"18.07"
From the foreword: "This volume contains most of the 113 papers
presented during the Eighth International Conference on Analysis
and Optimization of Systems organized by the Institut National de
Recherche en Informatique et en Automatique. Papers were presented
by speakers coming from 21 different countries. These papers deal
with both theoretical and practical aspects of Analysis and
Optimization of Systems. Most of the topics of System Theory have
been covered and five invited speakers of international reputation
have presented the new trends of the field."
INRIA, Institut National de Recherche en Informatique et en
Automatique
INRIA, Institut National de Recherche en Informatique et en
Automatique
From the foreword: "This volume contains most of the 113 papers
presented during the Eighth International Conference on Analysis
and Optimization of Systems organized by the Institut National de
Recherche en Informatique et en Automatique. Papers were presented
by speakers coming from 21 different countries. These papers deal
with both theoretical and practical aspects of Analysis and
Optimization of Systems. Most of the topics of System Theory have
been covered and five invited speakers of international reputation
have presented the new trends of the field."
|
Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique, Part 1 (English, French, Paperback, 1979 ed.)
R. Glowinski, J.L. Lions
|
R1,410
Discovery Miles 14 100
|
Ships in 10 - 15 working days
|
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
IRIA-LABORIA + has organized, this year, an International
Conference on Control Theory, Numerical Methods and Computer
Systems Modelling. This meeting which was sponsored by the
International Federation for Information Proce s sing (IFIP) and by
the European Institute for Advanced Studies in Management, took
place in June (17-21) with the participation of more than 200
specialists among which 55 participants were repre senting 12
different countrie s. This volume of the Springer-Verlag Series
"Lecture Notes" contains the lectures presented during the meeting
and demonstrates the high interest of the research which is
actually carried out in these fields. We specially wish to thank
Monsieur DANZIN, Director of IRIA, for the interest he has shown
for this Symposium, Professor BALAKRISHNAN who has arranged for
IFIP to sponsor our meeting and Professor GRAVES, Director of the
European Institute for Advanced Studies in Management for his
support. The IRIA Public Relations has been of a great assistance
to the Organization Committee and we wish to thank Mademoiselle
BRICHETEAU and her staff for their contribution. At last we expre s
s our gratitude to the Se s sions Chairmen and all the speakers for
the very interesting discussions they have directed. A. BENSOUSSAN
and J.L. LIONS +Institut de Recherche d'Informatique et
d'Automatique Laboratoire de Recherche de l'IRIA PREFACE
L'IRIA-LABORIA + a organise cette annee une Conference
Internationale sur la Theorie du Contrale, les Methodes Nurneriques
et la Modelisation des Systernes Informatiques.
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
These 6 volumes - the result of a 10 year collaboration between the
authors, two of France's leading scientists and both distinguished
international figures - compile the mathematical knowledge required
by researchers in mechanics, physics, engineering, chemistry and
other branches of application of mathematics for the theoretical
and numerical resolution of physical models on computers. Since the
publication in 1924 of the "Methoden der mathematischen Physik" by
Courant and Hilbert there has been no other comprehensive and
up-to-date publication presenting the mathematical tools needed in
applications of mathematics in directly implementable form. The
advent of large computers has in the meantime revolutionised
methods of computation and made this gap in the literature
intolerable: the objective of the present work is to fill just this
gap. Many phenomena in physical mathematics may be modeled by a
system of partial differential equations in distributed systems: a
model here means a set of equations, which together with given
boundary data and, if the phenomenon is evolving in time, initial
data, defines the system. The advent of high-speed computers has
made it possible for the first time to calculate values from models
accurately and rapidly. Researchers and engineers thus have a
crucial means of using numerical results to modify and adapt
arguments and experiments along the way. Every facet of technical
and industrial activity has been affected by these developments.
Modeling by distributed systems now also supports work in many
areas of physics (plasmas, new materials, astrophysics,
geophysics), chemistry and mechanics and is finding increasing use
in the life sciences.
|
You may like...
Goldfinger
Honor Blackman, Lois Maxwell, …
Blu-ray disc
R51
Discovery Miles 510
|