Dept Banner
Dept Banner


Download as iCal file

Nonlinear Analysis

Asymptotic stability in the variable-speed \(phi4\) model

Location:  Hill 525
Date & time: Wednesday, 12 October 2016 at 1:40PM - 1:41PM

Stanley Snelson, University of Chicago: We consider the \(\phi4\) model, a classical nonlinear equation from quantum field theory, with propagation speeds that are small deviations from a constant function. In the constant-speed case, a stationary solution called the kink is known explicitly, and the recent work of Kowalczyk, Martel, and Mu\~noz established the asymptotic stability of the kink with respect to odd perturbations in the natural energy space. In this talk, we will discuss the extension of this result to our class of non-constant propagation speeds. We discuss the proof of existence of the stationary solution, the analysis of the linearization around that solution, and the proof of asymptotic stability, which involves adapting the method of Kowalczyk, Martel, and Mu\~noz from the constant-speed case to the variable-speed case.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530