Inviscid limit for SQG in bounded domains
Analysis of PDEs
2018-06-08 v1
Abstract
We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.
Cite
@article{arxiv.1806.02393,
title = {Inviscid limit for SQG in bounded domains},
author = {Peter Constantin and Mihaela Ignatova and Huy Nguyen},
journal= {arXiv preprint arXiv:1806.02393},
year = {2018}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Global weak solutions for SQG in bounded domains
Peter Constantin, Huy Quang Nguyen
2016-12-09
Analysis of PDEs · Mathematics
Nonuniqueness of weak solutions to the SQG equation
Tristan Buckmaster, Steve Shkoller, Vlad Vicol
2016-10-04
Analysis of PDEs · Mathematics
Vorticity measures and the inviscid limit
Peter Constantin, Milton Lopes Filho, Helena Nussenzveig Lopes, Vlad Vicol
2019-06-26
Analysis of PDEs · Mathematics
Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit
Theodore D. Drivas, Huy Q. Nguyen
2018-11-14
Analysis of PDEs · Mathematics
Global weak solutions for generalized SQG in bounded domains
Huy Quang Nguyen
2018-03-16
Analysis of PDEs · Mathematics
On the Vanishing Viscosity Limit for Inhomogeneous Incompressible Navier-Stokes Equations on Bounded Domains
Jens Schröder, Emil Wiedemann
2025-07-03
Analysis of PDEs · Mathematics
Local and global strong solutions for SQG in bounded domains
Peter Constantin, Huy Quang Nguyen
2018-08-01
Analysis of PDEs · Mathematics
Global weak solutions and incompressible limit to the isentropic compressible Navier-Stokes equations in 2D bounded domains with ripped density and large initial data
Shuai Wang, Guochun Wu, Xin Zhong
2025-10-28
Analysis of PDEs · Mathematics
Existence of weak solutions for Porous medium equation with a divergence type of drift term in a bounded domain
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim
2023-06-16
Analysis of PDEs · Mathematics
Leray--Hopf Type Weak Solutions for the Three-Dimensional Beris--Edwards System with Stable Landau--de Gennes Potential
Yao Zhang, Han Ni Soe, Zhipeng Xu
2026-05-19
Analysis of PDEs · Mathematics
Weak convergence results for inhomogeneous rotating fluid equations
Isabelle Gallagher, Laure Saint-Raymond
2007-05-23
Analysis of PDEs · Mathematics
On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations
Giovanni P. Galdi
2018-09-12
Analysis of PDEs · Mathematics
Inviscid limit of the inhomogeneous incompressible Navier-Stokes equations under the weak Kolmogorov hypothesis in $\mathbb{R}^3$
Dixi Wang, Cheng Yu, Xinhua Zhao
2021-02-05
Analysis of PDEs · Mathematics
Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations
Nataliia V. Gorban, Pavlo O. Kasyanov, Olha V. Khomenko, Luisa Toscano
2023-01-13
Analysis of PDEs · Mathematics
Inviscid Limit for Vortex Patches in A Bounded Domain
Quansen Jiu, Yun Wang
2010-04-26
Analysis of PDEs · Mathematics
Infinitely many Leray-Hopf solutions for the fractional Navier-Stokes equations
Luigi De Rosa
2020-11-23
Analysis of PDEs · Mathematics
Remarks on high Reynolds numbers hydrodynamics and the inviscid limit
Peter Constantin, Vlad Vicol
2017-12-06
Analysis of PDEs · Mathematics
An inviscid limit problem for Navier-Stokes equations in 3D domains with oscillatory boundaries
Tuoc Phan, Dario A. Valdebenito
2025-03-11
Analysis of PDEs · Mathematics
Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions
Quansen Jiu, Dongjuan Niu, Jiahong Wu
2015-05-28
Differential Geometry · Mathematics
Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases
Rei Murakami
2026-05-29
Analysis of PDEs · Mathematics
Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
N. V. Chemetov, F. Cipriano
2024-09-27
Analysis of PDEs · Mathematics
Generalizing Hopf's boundary point lemma
Leobardo Rosales
2018-06-20
Analysis of PDEs · Mathematics
Thin-film limit of the Cahn-Hilliard equation in a curved thin domain
Tatsu-Hiko Miura
2025-12-16
Analysis of PDEs · Mathematics
Weak solutions to the Navier-Stokes equations
Ira Herbst
2022-09-14
Analysis of PDEs · Mathematics
Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces
Luigi De Rosa, Marco Inversi, Giorgio Stefani
2023-09-07