Zobrazeno 1 - 10
of 730
pro vyhledávání: '"Lai, Ning"'
In this paper, we prove a blow-up result for a generalized semilinear Euler-Poisson-Darboux equation with polynomially growing speed of propagation, when the power of the semilinear term is a shift of the Strauss' exponent for the classical semilinea
Externí odkaz:
http://arxiv.org/abs/2405.16145
Autor:
Lai, Ning-An, Zhou, Yi
Whether the 3D incompressible Navier-Stokes equations will have a global smooth solution for all smooth, finite energy initial data is a Millennium Prize problem. One of the main difficulties of this problem is that the Navier-Stokes equations are ac
Externí odkaz:
http://arxiv.org/abs/2403.16642
This paper concerns the long time existence to the smooth solutions of the compressible Euler system with critical time dependent damping in $\R^2$. We establish the sharp lifespan estimate from below, with respect to the small parameter of the initi
Externí odkaz:
http://arxiv.org/abs/2402.11516
Autor:
Cai, Lv, Lai, Ning-An
In this paper we study the compressible magnetohydrodynamics equations in three dimensions, which offer a good model for plasmas. Formation of singularity for C1-solution in finite time is proved with axisymmetric initial data. The key observation is
Externí odkaz:
http://arxiv.org/abs/2310.05045
Autor:
Lai, Ning-An, Zhou, Yi
We study the semilinear wave equation with power type nonlinearity and small initial data in Schwarzschild spacetime. If the nonlinear exponent $p$ satisfies $2\le p<1+\sqrt 2$, we establish the sharp upper bound of lifespan estimate, while for the m
Externí odkaz:
http://arxiv.org/abs/2212.09046
Autor:
Lai, Ning-An, Schiavone, Nico Michele
Publikováno v:
J. Evol. Equ. (2023)23:65
In this paper we are interested in the upper bound of the lifespan estimate for the compressible Euler system with time dependent damping and small initial perturbations. We employ some techniques from the blow-up study of nonlinear wave equations. T
Externí odkaz:
http://arxiv.org/abs/2211.11377
This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space $H^2(\mathbb{R}^3)$ by using energy estimates. We then prove the global well-posedness
Externí odkaz:
http://arxiv.org/abs/2203.08365
Autor:
Yang, Lin-Tong, Hu, Neng-Jing, Fu, Qiu-Xiang, Chen, Xiao-Ying, Ren, Yi-Min, Ye, Xin, Lai, Ning-Wei, Chen, Li-Song
Publikováno v:
In Scientia Horticulturae 1 August 2024 334
Publikováno v:
In Nonlinear Analysis October 2024 247
Autor:
Hua, Dan, Chen, Wen-Shu, Rao, Rong-Yu, Chen, Xu-Feng, Chen, Huan-Huan, Lai, Ning-Wei, Yang, Lin-Tong, Ye, Xin, Chen, Li-Song
Publikováno v:
In Scientia Horticulturae 1 February 2024 325