Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Sun, Changzhen"'
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations.
Comment: 29 pages, 1 figure
Comment: 29 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2409.01663
Autor:
Rousset, Frédéric, Sun, Changzhen
In this paper, we establish the transverse linear asymptotic stability of one-dimensional small-amplitude solitary waves of the gravity water-waves system. More precisely, we show that the semigroup of the linearized operator about the solitary wave
Externí odkaz:
http://arxiv.org/abs/2402.11115
In this note, we extend the detailed study of the linearized dynamics obtained for cnoidal waves of the Korteweg--de Vries equation in \cite{JFA-R} to small-amplitude periodic traveling waves of the generalized Korteweg-de Vries equations that are no
Externí odkaz:
http://arxiv.org/abs/2306.00376
The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither modulational nor co-periodic, and thus requires an unusual spectral analy
Externí odkaz:
http://arxiv.org/abs/2210.10118
Autor:
Sun, Changzhen
In the present work, motivated by the studies on the low Mach number limit problem, we establish uniform regularity estimates with respect to the Mach number for the non-isentropic compressible Navier-Stokes system in smooth domains with Navier-slip
Externí odkaz:
http://arxiv.org/abs/2204.09799
We establish uniform regularity estimates with respect to the Mach number for the three-dimensional free surface compressible Navier-Stokes system in the case of slightly well-prepared initial data in the sense that the acoustic components like the d
Externí odkaz:
http://arxiv.org/abs/2110.07913
Autor:
He, Qingqing, Li, Changqiang, Ou, Yangrulan, Pan, Yifan, Yang, Xun, Wang, Jianv, Liao, Hongye, Xiong, Xia, Liu, Li, Sun, Changzhen
Publikováno v:
In Bioorganic Chemistry April 2024 145
Uniform regularity for the compressible Navier-Stokes system with low Mach number in bounded domains
We establish uniform with respect to the Mach number regularity estimates for the isentropic compressible Navier-Stokes system in smooth domains with Navier-slip condition on the boundary in the general case of ill-prepared initial data. To match the
Externí odkaz:
http://arxiv.org/abs/2106.06077
Autor:
Sun, Changzhen
This manuscript is devoted to the long-term regularity of the 2-d Navier-Stokes-Poisson system. We allow the initial density to be close to a constant and the potential part of the initial velocity to be small independently of the rescaled viscosity
Externí odkaz:
http://arxiv.org/abs/2011.07993
Autor:
Sun, Changzhen
The aim of this manuscript is to study the influence of the vorticity on the existence time in fluid systems for which global smoothness and decay is known in the case of small irrotational data. We focus on two examples: the Euler-Korteweg system an
Externí odkaz:
http://arxiv.org/abs/2008.08354