22 citations · 81 across the 15 of their papers we have counts for
15 papers
The computational ansatz for convex integration of hyperbolic systems and a resolution of the Strong Trace Conjecture
Sam G. Krupa
In this paper, we consider hyperbolic systems of conservation laws in one spatial dimension. We use the computational ansatz introduced in the hyperbolic theory by the a…
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…
Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise
Sam G. Krupa, László Székelyhidi
We develop a general framework for studying non-uniqueness of the Riemann problem for the isentropic compressible Euler system in two spatial dimensions, and in this paper we prese…
Finite time BV blowup for Liu-admissible solutions to -system via computer-assisted proof
Sam G. Krupa
In this paper, we consider finite time blowup of the -norm for exact solutions to genuinely nonlinear hyperbolic systems in one space dimension, in particular the -system. W…
Theory of shifts, shocks, and the intimate connections to -type a posteriori error analysis of numerical schemes for hyperbolic problems
Jan Giesselmann, Sam G. Krupa
In this paper, we develop reliable a posteriori error estimates for numerical approximations of scalar hyperbolic conservation laws in one space dimension. Our methods have no inhe…
Nonexistence of configurations for hyperbolic systems and the Liu entropy condition
Sam G. Krupa, László Székelyhidi
We study the constitutive set arising from a system of conservation laws in one space dimension, endowed with one entropy and entropy-flux pair. The conve…
Sharp a-contraction estimates for small extremal shocks
William Golding, Sam Krupa, Alexis Vasseur
In this paper, we study the -contraction property of small extremal shocks for 1-d systems of hyperbolic conservation laws endowed with a single convex entropy, when subjected t…
Uniqueness and weak-BV stability for conservation laws
Geng Chen, Sam G. Krupa, Alexis F. Vasseur
Let a 1-d system of hyperbolic conservation laws, with two unknowns, be endowed with a convex entropy. We consider the family of small functions which are global solutions of…
Finite time stability for the Riemann problem with extremal shocks for a large class of hyperbolic systems
Sam G. Krupa
In this paper on hyperbolic systems of conservation laws in one space dimension, we give a complete picture of stability for all solutions to the Riemann problem which contain only…
Criteria for the a-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws
Sam G. Krupa
We show uniqueness and stability in and for all time for piecewise-smooth solutions to hyperbolic balance laws. We have in mind applications to gas dynamics, the isentropic E…
Stability and uniqueness for piecewise smooth solutions to Burgers-Hilbert among a large class of solutions
Sam G. Krupa, Alexis F. Vasseur
In this paper, we show uniqueness and stability for the piecewise-smooth solutions to the Burgers--Hilbert equation constructed in Bressan and Zhang [Commun. Math. Sci., 15(1):165-…
On Uniqueness of Solutions to Conservation Laws Verifying a Single Entropy Condition
Sam G. Krupa, Alexis F. Vasseur
For hyperbolic systems of conservation laws, uniqueness of solutions is still largely open. We aim to expand the theory of uniqueness for systems of conservation laws. One difficul…
Numerical Analysis of Target Enumeration via Euler Characteristic Integrals
Sam G. Krupa
Given a continuous sensor field, we can apply the Euler characteristic integral approach to count the number of targets in the sensor field. If the sensor field is discrete, the Eu…