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Home » Hamiltonian Postdoc Workshop: On the existence of exponentially decreasing solutions to time dependent hyperbolic systems

Seminar

Hamiltonian Postdoc Workshop: On the existence of exponentially decreasing solutions to time dependent hyperbolic systems November 14, 2018 (10:20 AM PST - 11:05 AM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Hongyu Cheng (Chern Institute of Mathematics)
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Abstract/Media

For any hyperbolic systems (the hyperbolic systems we mean here are systems

that the sepctra of the linear operator of these systems are not the pure imaginary), if

the inhomogeneous terms decrease exponentially about time t in and small, the linear

perturbations are small and the higher order perturbations are bounded, our main result

(Theorem 2.1) shows that there is a small solution that decreases exponentially in .

We take the time-dependent complex Ginaburg-andau equations, Boussinesq equations

and the duffing equations, which are infinite-dimensional and finite-dimensional systems

respectively, as examples.

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