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X-WR-CALNAME:CIGMO Seminar Series - Ilaria Perugia
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CREATED:20260422T134928Z
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DTSTART;TZID=America/New_York:20260504T110000
LAST-MODIFIED:20260422T134938Z
DTSTAMP:20260422T135119Z
SUMMARY:CIGMO Seminar Series - Ilaria Perugia
SEQUENCE:0
DESCRIPTION:Speaker: Ilaria Perugia\, University of Vienna\nTitle: Struc
 ture-preserving numerical approximation of nonlinear reaction-diffusion 
 systems\n\nAbstract: Applications in physics\, biology\, and chemistry o
 ften involve PDE systems with multiple interacting components\, such as 
 gas mixtures\, competing populations\, or chemical reactants. These are 
 modeled by nonlinear reaction-diffusion systems. Their numerical approxi
 mation is challenging due to nonlinearity\, coupling\, the need to prese
 rve positivity and boundedness\, and often a non-positive definite diffu
 sion matrix. Motivated by the boundedness-by-entropy framework introduce
 d by A. Jüngel in 2015\, we present numerical methods based on nonlinear
  transformations involving entropy variables\, which ensure positivity a
 nd boundedness of solutions. We focus on the local discontinuous Galerki
 n method\, where auxiliary variables help reformulate the problem so tha
 t nonlinearities do not appear under differential operators and interfac
 e terms. This allows for a parallel evaluation of nonlinear operators\, 
 supports high-order accuracy\, and provides discrete entropy stability.T
 hese results were obtained in collaboration with P.F. Antonietti\, M. Co
 rti\, S. Gómes\, and A. Jüngel.\n\n-::~:~::~:~:~:~:~:~:~:~:~:~:~:~:~:~:~
 :~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~:~::~:~::-\nJoin Zoom Meeting\nh
 ttps://brown.zoom.us/j/9011251684?pwd=5mZNPYbleyTlsQb6hxqD3oPdqcehaS.1&o
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