We consider a semilinear hyperbolic system with space-dependent and nonlinear damping, on a bounded interval. The damping term is possibly localized in a subinterval. As the solution converges exponentially fast towards a stationary profile, it is interesting to consider approximations that are qualitatively accurate for large times.
In this talk we will present a class of approximate solutions (that may also serve as a numerical scheme)
and their spectral analysis, which provides information on their asymptotic behavior. We present a new approach
that exploits several tools from matrix analysis.

عنوان المؤتمر

The XVII InternationalConference (HYP2018)

دولة المؤتمر

الولايات المتحدة الأمريكية

تاريخ المؤتمر

25 يونيو، 2018 - 29 يونيو، 2018

راعي المؤتمر

• National Science Foundation, • Office of Naval Research, • Eberly College of Science, • Penn State University, • Institute for Mathematics and its Applications, Minneapolis, • Kenneth P. Dietrich School of Arts & Sciences, University of Pittsburgh, • Department of Mathematics at Penn State University, • Department of Mathematics, University of Pittsburgh, • Institute for CyberScience at Penn State, • Fluid Dynamics Research Consortium at Penn State, • Center for Interdisciplinary Mathematics

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