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math.AP2019★ 6 cited
Dynamical relativistic liquid bodies
Todd A. Oliynyk
We establish the local-in-time existence of solutions to the relativistic Euler equations representing dynamical liquid bodies in vacuum.
math.AP2019
The Fuchsian approach to global existence for hyperbolic equations
Florian Beyer, Todd A. Oliynyk, J. Arturo Olvera-Santamaría
We analyze the Cauchy problem for symmetric hyperbolic equations with a time singularity of Fuchsian type and establish a global existence theory along with decay estimates for evo…