Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks

Published:2023-06-16 Issue:24 Volume:130 Page:
ISSN:0031-9007
Container-title:Physical Review Letters
language:en
Short-container-title:Phys. Rev. Lett.

Author:

Wang Y.^ORCID,Lai C.-Y.^ORCID,Gómez-Serrano J.^ORCID,Buckmaster T.^ORCID

Funder

National Science Foundation

H2020 European Research Council

Agencia Estatal de Investigación

Princeton University

Simons Foundation

Severo Ochoa

María de Maeztu Program for Centers

Publisher

American Physical Society (APS)

Subject

General Physics and Astronomy

Link

http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevLett.130.244002/fulltext

Reference37 articles.

1. Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$

2. Potentially singular solutions of the 3D axisymmetric Euler equations

3. Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

4. Finite-time singularities in the axisymmetric three-dimension Euler equations

5. Nearly two-dimensional solutions of Euler’s equations

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Evidence of a finite-time pointlike singularity solution for the Euler equations for perfect fluids;Physical Review Fluids;2024-09-05

2. Strong Ill-Posedness in \(\boldsymbol{L}^{\boldsymbol{\infty }}\) of the 2D Boussinesq Equations in Vorticity Form and Application to the 3D Axisymmetric Euler Equations;SIAM Journal on Mathematical Analysis;2024-09-03

3. Investigating the ability of PINNs to solve Burgers’ PDE near finite-time blowup;Machine Learning: Science and Technology;2024-06-01

4. Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks;Entropy;2024-04-30

5. Investigating Guiding Information for Adaptive Collocation Point Sampling in PINNs;Lecture Notes in Computer Science;2024

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3