Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Yin, Huicheng"'
For 3-D quadratically quasilinear wave equations with or without null conditions in exterior domains, when the compatible initial data and Dirichlet boundary values are given, the global existence or the optimal existence time of small data smooth so
Externí odkaz:
http://arxiv.org/abs/2411.06984
For the short pulse initial data with a first order outgoing constraint condition and optimal orders of smallness, we establish the global existence of smooth solutions to 2D quasilinear wave equations with higher order null conditions. Such kinds of
Externí odkaz:
http://arxiv.org/abs/2407.20939
In this paper, we are concerned with the global existence of small data weak solutions to the $n-$dimensional semilinear wave equation $\partial_t^2u-\Delta u+\frac{\mu}{t}\partial_tu=|u|^p$ with time-dependent scale-invariant damping, where $n\geq 2
Externí odkaz:
http://arxiv.org/abs/2405.08407
In this paper, we are concerned with the global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on the product space $\mathbb{R}^2\times\mathbb{T}$. These quasilinear wave systems include 3D irrotational
Externí odkaz:
http://arxiv.org/abs/2405.03242
It has been known that if the initial data decay sufficiently fast at space infinity, then 1D Klein-Gordon equations with quadratic nonlinearity admit classical solutions up to time $e^{C/\epsilon^2}$ while $e^{C/\epsilon^2}$ is also the upper bound
Externí odkaz:
http://arxiv.org/abs/2309.16213
In this paper, we establish the global existence of smooth solutions to general 4D quasilinear wave equations satisfying the first null condition with the short pulse initial data. Although the global existence of small data solutions to 4D quasiline
Externí odkaz:
http://arxiv.org/abs/2308.12511
In this paper, we investigate the fully nonlinear wave equations on the product space $\mathbb{R}^3\times\mathbb{T}$ with quadratic nonlinearities and on $\mathbb{R}^2\times\mathbb{T}$ with cubic nonlinearities, respectively. It is shown that for the
Externí odkaz:
http://arxiv.org/abs/2302.10385
Autor:
Hou, Fei, Yin, Huicheng
It is well known that for the quasilinear Klein-Gordon equation with quadratic nonlinearity and sufficiently decaying small initial data, there exists a global smooth solution if the space dimensions $d\geq2$. When the initial data are of size $\vare
Externí odkaz:
http://arxiv.org/abs/2302.10384
Autor:
Ding, Min, Yin, Huicheng
Under the genuinely nonlinear assumptions for one dimensional $n\times n$ strictly hyperbolic conservation laws, we investigate the geometric blowup of smooth solutions and the development of singularities when the small initial data fulfill the gene
Externí odkaz:
http://arxiv.org/abs/2212.05460
Autor:
Lu, Yu, Yin, Huicheng
In the previous paper [Ding Bingbing, Lu Yu, Yin Huicheng, On the critical exponent $p_c$ of the 3D quasilinear wave equation $-\big(1+(\partial_t\phi)^p\big)\partial_t^2\phi+\Delta\phi=0$ with short pulse initial data. I, global existence, Preprint,
Externí odkaz:
http://arxiv.org/abs/2211.16722