Zobrazeno 1 - 10
of 4 438
pro vyhledávání: '"Wang, GuoDong"'
In this paper, we construct a family of global solutions to the incompressible Euler equation on a standard 2-sphere. These solutions are odd-symmetric with respect to the equatorial plane and rotate with a constant angular speed around the polar axi
Externí odkaz:
http://arxiv.org/abs/2411.07645
DNA codes have garnered significant interest due to their utilization in digital media storage, cryptography, and DNA computing. In this paper, we first extend the results of constructing reversible group codes \cite{Cengellenmis} and reversible comp
Externí odkaz:
http://arxiv.org/abs/2409.06519
Autor:
Wang, Guodong
We prove a sharp orbital stability result for a class of exact steady solutions, expressed in terms of Bessel functions of the first kind, of the two-dimensional incompressible Euler equation in a disk. A special case of these solutions is the trunca
Externí odkaz:
http://arxiv.org/abs/2408.15598
Autor:
Cao, Daomin, Wang, Guodong
In this paper, we establish three Arnold-type stability theorems for steady or rotating solutions of the incompressible Euler equation on a sphere. Specifically, we prove that if the stream function of a flow solves a semilinear elliptic equation wit
Externí odkaz:
http://arxiv.org/abs/2407.06752
Autor:
Liang, Xin, Lin, Zihan, Zhang, Jun, Zhao, Jianfa, Feng, Shiyu, Lu, Wenlong, Wang, Guodong, Shi, Luchuan, Wang, Ningning, Shan, Pengfei, Zhang, Zao, Naamneh, Muntaser, Liu, Runzhe, Michon, Bastien, Cheng, Jinguang, Jin, Changqing, Ren, Yang, Ma, Junzhang
Hydrogen-rich materials offer a compelling avenue towards room temperature superconductivity, albeit under ultra-high pressure. However, the experimental investigation of the electronic band structure remains elusive, due to the inherent instability
Externí odkaz:
http://arxiv.org/abs/2308.16420
Anomaly detection (AD), aiming to find samples that deviate from the training distribution, is essential in safety-critical applications. Though recent self-supervised learning based attempts achieve promising results by creating virtual outliers, th
Externí odkaz:
http://arxiv.org/abs/2308.10155
Rossby-Haurwitz (RH) waves are important explicit solutions of the incompressible Euler equation on a two-dimensional rotating sphere. In this paper, we prove the orbital stability of degree-2 RH waves, which confirms a conjecture proposed by A. Cons
Externí odkaz:
http://arxiv.org/abs/2305.03279
DETR has set up a simple end-to-end pipeline for object detection by formulating this task as a set prediction problem, showing promising potential. However, despite the significant progress in improving DETR, this paper identifies a problem of misal
Externí odkaz:
http://arxiv.org/abs/2304.07527
Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against side-channel attacks and fault non-invasive attacks. Let $d_{LCD}(n, k)$ denote the maxim
Externí odkaz:
http://arxiv.org/abs/2302.00906
Autor:
Wang, Guodong, Zuo, Bijun
We construct a family of steady solutions to the two-dimensional incompressible Euler equation in a general bounded domain, such that the vorticity is supported in two well-separated regions of small diameter and converges to a pair of point vortices
Externí odkaz:
http://arxiv.org/abs/2301.07239