The purpose of this course is to study the dynamics of PDE on thin domains. The main
motivation of this kind of problems comes from two sources. The first source is physics; thin …

This chapter reviews the recently developed mathematical setting of the primitive equations
(PEs) of the atmosphere, the ocean, and the coupled atmosphere and ocean. The …

This work is concerned with unique continuation results for some evolution equations,
essentially of parabolic type. To be more precise, let L be an evolution operator acting on …

Page 1 HANDBOOK of NUMERICAL ANALYSIS PG CIARLET and JL LIONS • Editors Volume
VIII Solution of Equations in R" (Part 4) Techniques of Scientific Computing (Part 4) Numerical …

Abstract The Kuramoto-Sivashinsky equations model pattern formations on unstable flame
fronts and thin hydrodynamic films. They are characterized by the coexistence of coherent …

Attractors for the Benard problem: existence and physical bounds on their fractal dimension |
Nonlinear Analysis: Theory, Methods & Applications skip to main content ACM Digital Library …

This survey is devoted to an introduction to the theory of global attractors for semigroups
defined on infinite dimensional spaces, which has mainly been developed in the last three …

Using the backstepping approach we recover the null controllability for the heat equations
with variable coefficients in space in one dimension and prove that these equations can be …

Some global dynamical properties of a class of pattern formation equations Page 1
COMMUN. IN PARTIAL DIFFERENTIAL EQUATIONS, 1 4 ( 2 ) , 245-297 (1989) SOME …

Le filtrage non lineaire est une partie de la theorie des processus stochastiques qui est
fortement motivee par les applications, et qui se situe au carrefour de nombreuses theories …