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math.AP2026
Long-Time Nonlinear Stability of Large-Amplitude Radial Rarefactive Flows for the Multidimensional Compressible Euler Equations
Faris El-Katri
In this paper, we study multidimensional perturbations of radially symmetric rarefactive flows for the compressible Euler equations. No assumptions on the smallness of the backgrou…
math.AP2026
Complex Dynamics of Wave-Character Transitions in Radially Symmetric Isentropic Euler Flows: Theory and Numerics
Eduardo Abreu, Geng Chen, Faris El-Katri +1
We investigate the qualitative dynamics of smooth solutions to the radially symmetric isentropic compressible Euler equations, focusing specifically on the evolution of rarefactive…
math.AP2026
Existence and singularity formation for the supersonic expanding wave of radially symmetric non-isentropic compressible Euler equations
Geng Chen, Faris A. El-Katri, Yanbo Hu
This paper studies the existence and singularity formation of supersonic expanding waves for the radially symmetric non-isentropic compressible Euler equations of polytropic gases.…