Dipartimento di Matematica "F. Brioschi", Politecnico di Milano
Via Bonardi 9, I-20133 Milano, Italy.
Department of Applied Physics, Graduate School of Engineering
Osaka University, Suita, Osaka 565-0871, Japan
email: gianluca.mola@polimi.it
Gianluca Mola
Abstract:
We consider a conserved phase-field system with thermal memory
on a tridimensional bounded domain.
Assuming that the nonlinearity is real analytic, we use a
Lojasiewicz-Simon type inequality to study the convergence to
steady states of single trajectories. We also give an estimate of
the convergence rate.
Submitted November 28, 2007. Published February 22, 2008.
Math Subject Classifications: 35B40, 35B41, 80A22.
Key Words: Conserved phase-field models; memory effects;
Lojasiewicz-Simon inequality; steady states; global attractor.
Show me the PDF file (287 KB), TEX file, and other files for this article.
|
Gianluca Mola Dipartimento di Matematica "F. Brioschi", Politecnico di Milano Via Bonardi 9, I-20133 Milano, Italy. Department of Applied Physics, Graduate School of Engineering Osaka University, Suita, Osaka 565-0871, Japan email: gianluca.mola@polimi.it |
|---|
Return to the EJDE web page