相关期刊:《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》《Journal of Traditional Chinese Medicine》《Tsinghua Science and Technology》更多>>
supported by the National Natural Science Foundation of China under grants 11771162,11771035,12171376 and 2020-JCJQ-ZD-029.
An essential feature of the subdiffusion equations with theα-order time fractional derivative is the weak singularity at the initial time.The weak regularity of the solution is usually characterized by a regularity p...
Supported by the National Natural Science Foundation of China(Grant No.11571181);the Research Start-Up Foundation of Nantong University(Grant No.135423602051).
In this paper,we give improved error estimates for linearized and nonlinear CrankNicolson type finite difference schemes of Ginzburg-Landau equation in two dimensions.For linearized Crank-Nicolson scheme,we use mathem...
supported by the Zhejiang Provincial Natural Science Foundation of China(LY18A010020);the Innovation of Jiaxing City:A Program to Support the Talented Persons.
Motivated by some recent works on the topic of the Brown-Resnick process, we study the functional limit theorem for normalized pointwise maxima of dependent chi-processes. It is proven that the properly normalized poi...
In this paper,we establish a second-order necessary conditions for stochastic optimal control for jump diffusions.The controlled system is described by a stochastic differential systems driven by Poisson random measur...
the National Natural Science Foundation of China under Grant Nos.61922011 and U21B2034;partly by the Open Research Projects of KLOMT under Grant No.2022KLOMT02-02.
Owing to the structural errors in the optical phased array,an initial random phase reduces the quality of the deflection beam.The most commonly applied approach to phase calibration is based on adaptive optics.However...
supported by the National Natural Science Foundation of China(11971276,12171287);Natural Science Foundation of Shandong Province(ZR2016JL004);supported by the China Postdoctoral Science Foundation(2021TQ0017,2021M700244);International Postdoctoral Exchange Fellowship Program(Talent-Introduction Program)(YJ20210019)。
We present a mathematical and numerical study for a pointwise optimal control problem governed by a variable-coefficient Riesz-fractional diffusion equation.Due to the impact of the variable diffusivity coefficient,ex...
supported in part by Natural Sciences Foundation of Zhejiang Province(No.LZ23A010007);in part by the National Natural Science Foundation of China(No.12271518);Natural Science Foundation of Jiangsu Province(No.BK20201149);the Fundamental Research Funds of Xuzhou(No.KC21019)
In this paper,we analyze and test a high-order compact difference scheme numerically for solving a two-dimensional nonlinear Kuramoto-Tsuzuki equation under the Neumann boundary condition.A three-level average techniq...
supported by National Natural Science Foundation of China(11671100 and 12171104);the National Science Fund for Excellent Young Scholars(11922107);Guangxi Natural Science Foundation(2018GXNSFAA138210 and 2019JJG110010)。
The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Fokker-Planck(VPFP)system in three dimensional space are studied in this paper.It is shown that the Green’s fu...
Supported by the National Natural Science Foundation of China(Grant Nos.11871070 and 62273364);the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020B151502120)。
In this article,we apply blow-up analysis to study pointwise a priori estimates for some p-Laplacian equations based on Liouville type theorems.With newly developed analysis techniques,we first extend the classical re...
supported by National Natural Science Foundation of China(11931010,11671384,11871047 and 12101372);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University;by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(007/20530290068).
The initial value problem(IVP)for the one-dimensional isentropic compressible Navier-Stokes-Poisson(CNSP)system is considered in this paper.For the variables,the electric field and the velocity,under the Lagrange coor...