89 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nanchang Hangkong UniversityCN11 papers
- East China University of Science and TechnologyCN9 papers
- Dongbei University of Finance and EconomicsCN6 papers
- Shanghai University of Finance and EconomicsCN4 papers
- University of California, RiversideUS4 papers
- Fudan UniversityCN3 papers
- Institute of Physics, Academia SinicaTW3 papers
- Ningbo University of Finance & EconomicsCN3 papers
- Peking UniversityCN3 papers
- Stanford UniversityUS3 papers
- Hangzhou Dianzi UniversityCN2 papers
- HUN-REN Centre for Energy ResearchHU2 papers
9 papers · 1 filter
Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds
Masahiro Ikeda, Jiayun Lin, Ziheng Tu
In the present paper, we study the Cauchy problem for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds. Our aim of this paper is to p…
Strauss exponent for semilinear wave equations with scattering space dependent damping
Ning-An Lai, Ziheng Tu
It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent, see Ikehata-Todorova-Yordanov \cite{IT…
A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
Alessandro Palmieri, Ziheng Tu
In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the sin…
Dynamic Transitions and Stability for the Acetabularia Whorl Formation
Yiqiu Mao, Dongming Yan, ChunHsien Lu
Dynamical transitions of the Acetabularia whorl formation caused by outside calcium concentration is carefully analyzed using a chemical reaction diffusion model on a thin annulus.…
Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
Alessandro Palmieri, Ziheng Tu
In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow 'wave-like'. A St…
Nondegeneracy of ground states and multiple semiclassical solutions of the Hartree equation for general dimensions
Guoyuan Chen
We study nondegeneracy of ground states of the Hartree equation $$ -Δu+u=(I_{2}\ast u^2)u\quad\mbox{ in }\mathbb R^n $$ where and is the Newton potential. As an app…
Fractional nonlinear Schrödinger equations with singular potential in
Guoyuan Chen, Youquan Zheng
We are interested in nonlinear fractional Schrödinger equations with singular potential of form \begin{equation*} (-Δ)^su=\fracλ{|x|^α}u+|u|^{p-1}u,\quad \mathbf R^n\setminus\{0\},…
Multiple Semiclassical Standing Waves for Fractional Nonlinear Schrödinger Equations
Guoyuan Chen
Via a Lyapunov-Schmidt reduction, we obtain multiple semiclassical solutions to a class of fractional nonlinear Schrödinger equations. Precisely, we consider \begin{equation*} \var…
Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise
Zdzisław Brzeźniak, Wei Liu, Jiahui Zhu
Motivated by applications to a manifold of semilinear and quasilinear stochastic partial differential equations (SPDEs) we establish the existence and uniqueness of strong solution…