|
Talk Abstract:
Time-asymptotic Behaviour in Hamilton-Jacobi Equations
Jean-Michel
Roquejoffre
University of Toulouse
The problem under study is the following Hamilton-Jacobi equation
utH(x,Du)=0
with periodic conditions in x or in a bounded domain with Dirichlet
conditions. When H is strictly convex with respect to its second
variable - sometimes, mere convexity is enough - the convergence
to steady states is proved. This study is applied to understand
the dynamics of a front whose propagation is given by a law
of the form
Vn=R(X)
where
R is a periodic function of its variables, and which is used
to describe some combustion fronts in solid media. An application
to the `hump' effect in solid propellant combustion will be
given.
Material used during the talk
Back to Workshop Schedule
Back to IMA Minisymposium: Mathematical Investigations of Models
in Combustion
1999-2000
Reactive Flow and Transport Phenomena
|
