31 citations · 43 across the 4 of their papers we have counts for
5 papers
Global solution and singularity formation for the supersonic expanding wave of compressible Euler equations with radial symmetry
Geng Chen, Faris A. El-Katri, Yanbo Hu +1
In this paper, we define the rarefaction and compression characters for the supersonic expanding wave of the compressible Euler equations with radial symmetry. Under this new defin…
Lipschitz metric for the Novikov equation
Hong Cai, Geng Chen, Robin MIng Chen +1
We consider the Lipschitz continuous dependence of solutions for the Novikov equation with respect to the initial data. In particular, we construct a Finsler type optimal transport…
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.
Characterizing Traveling Wave Collisions in Granular Chains Starting from Integrable Limits: the case of the KdV and the Toda Lattice
Y. Shen, P. G. Kevrekidis, S. Sen +1
Our aim in the present work is to develop approximations for the collisional dynamics of traveling waves in the context of granular chains in the presence of precompression. To tha…
Traveling waves of the regularized short pulse equation
Y. Shen, T. P. Horikis, P. G. Kevrekidis +1
In the present work, we revisit the so-called regularized short pulse equation (RSPE) and, in particular, explore the traveling wave solutions of this model. We theoretically analy…