14 citations · 26 across the 7 of their papers we have counts for
8 papers
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…
Compensated compactness: continuity in optimal weak topologies
André Guerra, Bogdan Raiţă, Matthew R. I. Schrecker
For -homogeneous linear differential operators of constant rank, we study the implication in and $\mathcal{A} v_j\rightarrow \mathcal{A}…
Global Entropy Solutions and Newtonian Limit for the Relativistic Euler Equations
Gui-Qiang G. Chen, Matthew R. I. Schrecker
We analyze the relativistic Euler equations of conservation laws of baryon number and momentum with a general pressure law. The existence of global-in-time bounded entropy solution…
Inviscid limit of the compressible Navier-Stokes equations for asymptotically isothermal gases
Matthew R. I. Schrecker, Simon Schulz
We prove the existence of relative finite-energy vanishing viscosity solutions of the one-dimensional, isentropic Euler equations under the assumption of an asymptotically isotherm…
Spherically symmetric solutions of the multi-dimensional, compressible, isentropic Euler equations
Matthew R. I. Schrecker
In this note, we prove that the solutions obtained to the spherically symmetric Euler equations in the recent works [2, 3] are weak solutions of the multi-dimensional compressible…
Vanishing viscosity limit of the compressible Navier-Stokes equations with general pressure law
Matthew R. I. Schrecker, Simon Schulz
We prove the convergence of the vanishing viscosity limit of the one-dimensional, isentropic, compressible Navier-Stokes equations to the isentropic Euler equations in the case of…
Vanishing Viscosity Approach to the Compressible Euler Equations for Transonic Nozzle and Spherically Symmetric Flows
Gui-Qiang G. Chen, Matthew R. I. Schrecker
We are concerned with globally defined entropy solutions to the Euler equations for compressible fluid flows in transonic nozzles with general cross-sectional areas. Such nozzles i…
Analysis of boundary bubbles for almost minimal cylinders
Melanie Rupflin, Matthew R. I. Schrecker
We analyse the asymptotic behaviour of solutions of the Teichmüller harmonic map flow from cylinders, and more generally of `almost minimal cylinders', in situations where the maps…