Welcome to the website of researchers working in Bilbao (either at UPV/EHU or at BCAM) in mathematical analysis, partial differential equations, inverse problems, mathematical physics, and/or related topics.
BCAM, Thursday, March 26th, 2026, 17:00 - 18:00
Title: Relaxation limits of compressible one-velocity bifluid systems
Jin Tan - Chinese University of Hong Kong
Consider a one-velocity Baer–Nunziato system with friction forces. I will first justify its pressure-relaxation limit toward a Kapila model in a uniform manner with respect to the time-relaxation parameters associated with the friction forces. Then, I will show that the diffusely rescaled solutions of the damped Kapila system converge to the solutions of the new two-phase porous media system as the remain time-relaxation parameter tends to zero. For each relaxation limit, rates of convergence will be discussed.