22 citations · 45 across the 12 of their papers we have counts for
13 papers
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…
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…
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…
From Navier-Stokes to BV solutions of the barotropic Euler equations
Geng Chen, Moon-Jin Kang, Alexis F. Vasseur
In the realm of mathematical fluid dynamics, a formidable challenge lies in establishing inviscid limits from the Navier-Stokes equations to the Euler equations, wherein physically…
Uniqueness and weak-BV stability for conservation laws
Geng Chen, Sam G. Krupa, Alexis F. Vasseur
Let a 1-d system of hyperbolic conservation laws, with two unknowns, be endowed with a convex entropy. We consider the family of small functions which are global solutions of…
The physics of a small-scale tearing mode in collisionless slab plasmas
C. Geng, D. Dickinson, H. R. Wilson
Microtearing modes have been widely reported as a tearing parity electron temperature gradient driven plasma instability, which leads to fine scale tearing of the magnetic flux sur…
Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations
Geng Chen
For the compressible Euler equations, even when the initial data are uniformly away from vacuum, solution can approach vacuum in infinite time. Achieving sharp lower bounds of dens…
Generic Regularity of Conservative Solutions to a Nonlinear Wave Equation
Alberto Bressan, Geng Chen
The paper is concerned with conservative solutions to the nonlinear wave equation . For an open dense set of initial data, we prove tha…
Existence and regularity of solutions in nonlinear wave equations
Geng Chen, Yannan Shen
In this paper, we study the global existence and regularity of Hölder continuous solutions for a series of nonlinear partial differential equations describing nonlinear waves.
Shock-free Solutions of the Compressible Euler Equations
Geng Chen, Robin Young
We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solu…
TVD Fields and Isentropic Gas Flow
Geng Chen, Helge Kristian Jenssen
Little is known about global existence of large-variation solutions to Cauchy problems for systems of conservation laws in one space dimension. Besides results for data…
The Vacuum in Nonisentropic Gas Dynamics
Geng Chen, Robin Young
We investigate the vacuum in nonisentropic gas dynamics in one space variable, with the most general equation of states allowed by thermodynamics. We recall physical constraints on…
Pairwise wave interactions in ideal polytropic gases
Geng Chen, Erik E. Endres, Helge Kristian Jenssen
We consider the problem of resolving all pairwise interactions of shock waves, contact waves, and rarefaction waves in 1-dimensional flow of an ideal polytropic gas. Resolving an i…