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L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2505-2522
作者:  Geng, Shifeng;  Huang, Feimin;  Wu, Xiaochun
收藏  |  浏览/下载：57/0  |  提交时间：2023/02/07
L-2-convergence  compressible Euler Equations  time asymptotic expansion  time-dependent damping  relative entropy inequality  
Asymptotic behaviour of global vortex rings 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 7, 页码: 3680-3705
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：83/0  |  提交时间：2023/02/07
incompressible Euler equations  vortex ring  variational method  dcsingularization  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：103/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency  
Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 310, 页码: 327-361
作者:  He, Lin;  Wang, Yong
收藏  |  浏览/下载：136/0  |  提交时间：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
作者:  Hu, Lijun;  Yuan, Li
收藏  |  浏览/下载：122/0  |  提交时间：2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 3, 页码: 16
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载：150/0  |  提交时间：2021/10/26
Euler equations  vortex patch  nonlinear stability  Kirchhoff-Routh function  
GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：150/0  |  提交时间：2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 277, 页码: 57-113
作者:  Mei, Ming;  Wu, Xiaochun;  Zhang, Yongqian
收藏  |  浏览/下载：117/0  |  提交时间：2021/04/26
3-Dimensional hydrodynamic model  Euler-Poisson equations  Subsonic steady-state  Asymptotic stability  Radial solutions  Weighted Sobolev spaces  
Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2021, 卷号: 393, 页码: 11
作者:  Li, Min;  Huang, Chengming;  Chen, Ziheng
收藏  |  浏览/下载：139/0  |  提交时间：2021/04/26
Stochastic differential equations with jumps  Compensated projected Euler-Maruyama method  Mean square convergence  C-stability  B-consistency