23 citations · 39 across the 12 of their papers we have counts for
12 papers
Classification of radial non-radiative solutions to the 5D nonlinear wave equations
Liang Li, Ruipeng Shen, Chenhui Wang
In this work we classify all radial non-radiative solutions to the 5D nonlinear wave equations with a wide range of energy critical nonlinearity. We show that such a solution alway…
Radiation fields and non-radiative solutions to the energy sub-critical wave equations
Liang Li, Ruipeng Shen, Chenhui Wang
Radiation field and channel of energy method have become important tools in the study of nonlinear wave equations in recent years. In this work we give basic theory of radiation fi…
Asymptotic behaviour of non-radiative solution to the wave equations
Liang Li, Ruipeng Shen, Chenhui Wang +1
In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial…
An inequality regarding non-radiative linear waves via a geometric method
Liang Li, Ruipeng Shen, Chenhui Wang
In this work we consider the operator \[ (\mathbf{T} G) (x)= \int_{\mathbb{S}^2} G(x\cdot ω, ω) dω, \quad x\in \mathbb{R}^3, \; G\in L^2(\mathbb{R}\times \mathbb{S}^2). \] This is…
Dynamical transition of hydromagnetic convection in a rotating fluid layer
Liang Li, Yanlong Fan, Daozhi Han +1
In this article, we aim to study the stability and dynamic transition of an electrically conducting fluid in the presence of an external uniform horizontal magnetic field and rotat…
The well-posedness and the regularity of global attractor for a couple stress fluid through porous layer with the local thermal non-equilibrium effect
Liang Li, Lan Jia
In the article, we aim to investigate the well-posedness of solution and the regularity of the global attractor for the couple stress fluid in saturated porous media with the local…
Energy distribution of solutions to defocusing semi-linear wave equation in higher dimensional space
Liang Li, Ruipeng Shen
The topic of this paper is a semi-linear, defocusing wave equation in sub-conformal case in the higher dimensional space whose initial data are radical an…
Explicit formula of radiation fields of free waves with applications on channel of energy
Liang Li, Ruipeng Shen, Lijuan Wei
In this work we give a few explicit formulas regarding the radiation fields of linear free waves. We then apply these formulas on the channel of energy theory. We characterize all…
Energy Distribution of solutions to defocusing semi-linear wave equation in two dimensional space
Liang Li, Ruipeng Shen, Lijuan Wei
We consider finite-energy solutions to the defocusing nonlinear wave equation in two dimensional space. We prove that almost all energy moves to the infinity at almost the light sp…
Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws
Liang Li, Jun Zhu, Yong-Tao Zhang
Fixed-point iterative sweeping methods were developed in the literature to efficiently solve steady state solutions of Hamilton-Jacobi equations and hyperbolic conservation laws. S…
3D Stochastic Landau-Lifshitz-Gilbert Equations coupled with Maxwell's Equations with full energy
Zdzislaw Brzezniak, Ben Goldys, Liang Li
We consider 3D stochastic Landau-Lifshitz-Gilbert equations coupled with the Maxwell equations with the full energy. We have proved the existence and some further regularities of t…
Weak solutions of the Stochastic Landau-Lifschitz Equations with non-zero anisotrophy energy
Zdzisław Brzeźniak, Liang Li
We study a Stochastic Landau-Lifschitz Equation with non-zero anisotrophy energy and multidimensional noise. The existence and some regularities of weak solution have been proved.