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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Non-Hermitian dispersive hydrodynamics - Sathyanar
ayanan Chandramouli (Florida State University)
DTSTART;TZID=Europe/London:20221208T160000
DTEND;TZID=Europe/London:20221208T163000
UID:TALK183815AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/183815
DESCRIPTION:Dispersive hydrodynamics is an active research are
a combining mathematical theory and experiments. M
ost of the research in the area focuses on wave pr
opagation in (a) bulk media\, where the governing
equations have constant coefficients\, or (b) inho
mogeneous media\, where the underlying dynamical s
ystem involves potential terms. In the latter case
\, the presence of inhomogeneous terms hinders the
formulation of a Riemann problem due to the lack
of generalized plane wave-type solutions of consta
nt intensity. However\, such constant-intensity (C
I) solutions in non-Hermitian optical media do exi
st\, allowing us to formulate and study a Riemann
problem for the first time therein. After identify
ing classes of non-Hermitian potentials that suppo
rt modulationally stable CI states\, we motivate t
he construction of a Riemann problem connecting th
ese CI states. The gain-loss landscape and the los
s of symmetries (present in bulk media) lead to ri
ch dispersive hydrodynamic phenomena.\nMy work is
a collaborative effort with Nicholas Ossi\, Prof.
Ziad Musslimani (Florida State University)\, and P
rof. Konstantinos Makris (University of Crete).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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