4 papers
Uniqueness and stability of entropy waves among vanishing dissipation limits from the Navier--Stokes--Fourier System
Cooper Faile, Ingrid Lacroix-Violet, Alexis F. Vasseur
In this paper, we establish the stability of general entropy wave solutions of the compressible Euler equations (that is, profiles with constant velocity and pressure) in the class…
The unique limit of the Glimm-Lax construction for Sobolev data and obstructions to 1-d convex integration
Jeffrey Cheng, Cooper Faile, Sam G. Krupa
We consider a genuinely nonlinear -d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time "Glimm-Lax" weak en…
Quantitative weak-BV stability of "wild'' solutions to compressible Euler equations, with a view towards higher systems
Geng Chen, Cooper Faile, Sam G. Krupa
For hyperbolic systems of conservation laws, including important physical models from continuum mechanics, the question of stability for large data solutions remains a challenging…
Solutions to conservation laws are Hölder-stable in in the weak-BV setting
Geng Chen, Cooper Faile, Sam G. Krupa
We consider hyperbolic systems of conservation laws in one spatial dimension. For any limit of front tracking solutions , and for a general weak solution with no…