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math.AP2024★ 1 cited
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…
math.AP2013★ 15 cited
Non-uniqueness for the Euler equations: the effect of the boundary
Claude Bardos, László Székelyhidi, Emil Wiedemann
We consider rotational initial data for the two-dimensional incompressible Euler equations on an annulus. Using the convex integration framework, we show that there exist infinitel…