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math.AP2014★ 7 cited
Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics
Geng Chen, Ronghua Pan, Shengguo Zhu
For the Euler equations of isentropic gas dynamics in one space dimension, also knowns as p-system in Lagrangian coordinate, it is known that the density can be arbitrarily close t…
math.AP2014★ 3 cited
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.