Thursday, December 7, 9:30 am in room MTH 3206, University of Maryland,
College Park
The long-time behavior of finite element solutions of semilinear
parabolic problems
Prof. Stig Larsson
Department of Mathematics,
Chalmers University of Technology and G\"oteborg University,
G\"oteborg (Sweden)
stig@math.chalmers.se
The solutions of a system of reaction-diffusion equations
(semilinear parabolic PDEs) may be viewed as a dynamical system in an
infinite-dimensional phase space. A perturbed dynamical system is
obtained when the solutions are approximated by a numerical method.
It is then interesting to know to what extent the dynamics of the
perturbed dynamical system reflects the dynamics of the original one.
I will review some results of this type concerning, e.g., convergence
of attractors and local behavior near hyperbolic fixed points.
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