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DTSTART:20190331T030000
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DTSTAMP:20190717T152348Z
UID:5cffb1a12e426763813129@ist.ac.at
DTSTART:20190624T160000
DTEND:20190624T183000
DESCRIPTION:Speaker: Quoc Bao TANG\nhosted by Julian Fischer\nAbstract: Thi
s talk presents some recent advances concerning the regularity and large t
ime behaviour of reaction-diffusion systems arising from chemical reaction
network theory or biology. In the first part\, it is shown that if a reac
tion-diffusion system preserves the nonnegativity\, dissipates the total m
ass and has at most quadratic nonlinearities\, then the local classical so
lution exists globally\, and is bounded uniformly in time in all dimension
s. This deduces in particular the well-posedness of the binary reversible
reaction A + B ⇔ C + D or the skew-symmetric Lotka-Voltera system. The s
econd part is devoted to the convergence to equilibrium for so-called comp
lex balanced chemical reaction systems. By utilising the entropy method\,
it is proved that all renormalized solutions converge exponentially to the
unique positive equilibrium provided the absence of boundary equilibria.
Some special systems possessing boundary equilibria are also discussed.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, IST Austria
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Regularity and Convergence to Equilibrium for Chemical Reaction-Dif
fusion Systems
URL:https://talks-calendar.app.ist.ac.at/events/2009
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