Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit

Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou +1

We investigate the relaxation problem and the diffusion phenomenon for the compressible Euler system with a time-dependent damping coefficient of the form $\frac{\hat{I}}{¼}(1+t{)}^{\hat{I}}»$ in $…