3 papers
math.AP2024
Quantitative phase mixing for Hamiltonians with trapping
Mahir Hadžić, Gerhard Rein, Matthew Schrecker +1
We prove quantitative decay estimates of macroscopic quantities generated by the solutions to linear transport equations driven by a general family of Hamiltonians. The associated…
math.AP2024
Converging/diverging self-similar shock waves: from collapse to reflection
Juhi Jang, Jiaqi Liu, Matthew Schrecker
We solve the continuation problem for the non-isentropic Euler equations following the collapse of an imploding shock wave. More precisely, we prove that the self-similar Güderley…
math.AP2023
On self-similar converging shock waves
Juhi Jang, Jiaqi Liu, Matthew Schrecker
In this paper, we rigorously prove the existence of self-similar converging shock wave solutions for the non-isentropic Euler equations for . These solutions are analyt…