22 citations · 81 across the 15 of their papers we have counts for
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math.AP2019★ 5 cited
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…
math.AP2019★ 7 cited
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…
math.AP2019★ 12 cited
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-…