3 papers
math.AP2026
Dominance of slow solutions for second order abstract evolution equations with time-varying damping
Jun-Ren Luo, Ti-Jun Xiao
Of concern is a class of non-autonomous evolution equations of second order in Hilbert spaces, with a nonnegative self-adjoint operator , time-varying damping and nonlinear sour…
math.AP2024
Sharp -convergence rates to the Barenblatt solutions for the compressible Euler equations with time-varying damping
Jun-Ren Luo, Ti-Jun Xiao
We study the asymptotic behavior of compressible isentropic flow when the initial mass is finite and the friction varies with time, which is modeled by the compressible Euler equat…
math.AP2024
Sharper L^1-convergence rates of weak entropy solutions to damped compressible Euler equations
Jun-Ren Luo, Ti-Jun Xiao
We consider the asymptotic behavior of compressible isentropic flow when the initial mass is finite, which is modeled by the compressible Euler equation with frictional damping. It…