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math.AP2026
Lipschitz Stability Estimates for Master Fields with Measure-Variable Regularity in Mean Field Games
Chen Geng, Hongyu Liu, Minghui Song
In this paper, we investigate the Lipschitz stability of the master field and its functional derivative with respect to the measure variable for the master equation in mean field g…
math.AP2026
The contraction of solutions with large perturbation in multiple space dimensions from the oscillatory dispersive planar shock
Geng Chen, Harish Ravichandar, Yannan Shen
In this paper, we show the contraction property of the planar oscillatory or monotone dispersive shock profiles of the dissipative Kadomtsev-Petviashvili (KP) equation modell…
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…