3 papers
math.AP2025
Blowup of solutions for compressible viscoelastic fluid
Sébastien Boyaval, Na Wang, Yuxi Hu
We prove finite-time blowup of classical solutions for the compressible Upper Convective Maxwell (UCM) viscoelastic fluid system. By establishing a key energy identity and adapting…
math.AP2024
Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law
Na Wang, Sébastien Boyaval, Yuxi Hu
We consider one dimensional isentropic compressible Navier-Stokes equations with Oldroyd-type constitutive law. By establishing uniform a priori estimates (with respect to relaxati…
math.NA2013
A posteriori analysis of Chorin-Temam scheme for Stokes equations
Sébastien Boyaval, M. Picasso
We consider Chorin-Temam scheme (the simplest pressure-correction projection method) for the time-discretization of an unstationary Stokes problem. Inspired by the analyses of the…