Zobrazeno 1 - 10
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pro vyhledávání: '"Du, Dapeng"'
A new approach, iteration projection method, is proposed to solve the saddle point problem obtained after the full discretization of the unsteady Navier-Stokes equations. The proposed method iterates projections in each time step with a proper convec
Externí odkaz:
http://arxiv.org/abs/2304.07963
We show that the Nernst-Planck-Euler system, which models ionic electrodiffusion in fluids, has global strong solutions for arbitrarily large data in the two dimensional bounded domains. The assumption on species is either there are two species or th
Externí odkaz:
http://arxiv.org/abs/2212.12761
Publikováno v:
In Journal of Differential Equations 5 May 2024 390:345-369
Autor:
Du, Dapeng
We propose a two-dimensional generalization of Constantin-Lax-Majda model [2]. Some results about singular solutions are given. This model might be the first step toward the singular solutions of the Euler equations. Along the same line (vorticity fo
Externí odkaz:
http://arxiv.org/abs/1907.08748
Cross-modal transfer is helpful to enhance modality-specific discriminative power for scene recognition. To this end, this paper presents a unified framework to integrate the tasks of cross-modal translation and modality-specific recognition, termed
Externí odkaz:
http://arxiv.org/abs/1904.12254
Autor:
Du, Dapeng1 (AUTHOR), Chen, Jiawei2 (AUTHOR), Li, Yuexiang2 (AUTHOR), Ma, Kai2 (AUTHOR), Wu, Gangshan1 (AUTHOR), Zheng, Yefeng2 (AUTHOR) yefengzheng@tencent.com, Wang, Limin1 (AUTHOR) lmwang@nju.edu.cn
Publikováno v:
International Journal of Computer Vision. Nov2022, Vol. 130 Issue 11, p2842-2857. 16p.
The blowup is studied for the nonlinear Schr\"{o}dinger equation $iu_{t}+\Delta u+ |u|^{p-1}u=0$ with $p$ is odd and $p\ge 1+\frac 4{N-2}$ (the energy-critical or energy-supercritical case). It is shown that the solution with negative energy $E(u_0)<
Externí odkaz:
http://arxiv.org/abs/1309.6782
Autor:
Dong, Hongjie, Du, Dapeng
We study regularity criteria for the $d$-dimensional incompressible Navier-Stokes equations. We prove in this paper that if $u\in L_\infty^tL_{d}^x((0,T)\times {\mathbb R}^d)$ is a Leray-Hopf weak solution, then $u$ is smooth and unique in $(0,T)\tim
Externí odkaz:
http://arxiv.org/abs/0903.1461
Autor:
Dong, Hongjie, Du, Dapeng
We study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary $H^1$ initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A
Externí odkaz:
http://arxiv.org/abs/math/0701828
Autor:
Dong, Hongjie, Du, Dapeng
The solutions of incompressible Navier-Stokes equations in four spatial dimensions are considered. We prove that the two-dimensional Hausdorff measure of the set of singular points at the first blow-up time is equal to zero.
Comment: 19 pages, a
Comment: 19 pages, a
Externí odkaz:
http://arxiv.org/abs/math/0601113