Cover Image

2D incompressible inviscid Oldroyd-B equations: ill-posedness, long time existence, and high Weissenberg number limit

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Xin, Wang, Weinan
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global well-posedness and uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model
by: Cheng, Xinyu, et al.
Published: (2024)

Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion
by: Liang, Chen, et al.
Published: (2025)

Mild ill-posedness in $W^{1,\infty}$ for the incompressible porous media equation
by: Xie, Yaowei, et al.
Published: (2024)

Ill-posedness and inviscid limit of basic equations of fluid dynamics in Besov spaces
by: Li, Jinlu, et al.
Published: (2025)

Global existence for non-homogeneous incompressible inviscid fluids in presence of Ekman pumping
by: Bravin, Marco, et al.
Published: (2024)

Global well-posedness and large time behavior for the Oldroyd-B model
by: Shang, Haifeng
Published: (2024)

Joint inviscid, incompressible, and continuous phenotype limit in nonlocal models of tissue growth
by: Lai, Chen-Chih, et al.
Published: (2025)

Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise
by: Lin, Quyuan, et al.
Published: (2024)

Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
by: Li, Jinlu, et al.
Published: (2024)

The incompressible inhomogeneous Navier-Stokes-Vlasov-Fokker-Planck equations: global well-posedness and inviscid limit
by: Li, Fucai, et al.
Published: (2025)

The local well-posedness, global existence and ill-posedness for the fifth order Camassa-Holm model
by: Chen, Xiaoxin, et al.
Published: (2025)

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG
by: Córdoba, Diego, et al.
Published: (2025)

Global solutions to the $n$-dimensional incompressible Oldroyd-B model without damping mechanism
by: Zhai, Xiaoping
Published: (2018)

Sharp well-posedness and ill-posedness results for the inhomogeneous NLS equation
by: Campos, Luccas, et al.
Published: (2022)

Sharp well-posedness and ill-posedness of the stationary quasi-geostrophic equation
by: Fujii, Mikihiro, et al.
Published: (2025)

Global well-posedness of 2D incompressible MHD equations without magnetic diffusion
by: Ding, Shijin, et al.
Published: (2025)

Almost sure existence of global weak solutions for incompressible generalized Navier-Stokes equations
by: Lin, Yuan-Xin, et al.
Published: (2025)

Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations
by: Chae, Dongho, et al.
Published: (2023)

Global well-posedness and large time behavior of solutions to the compressible Oldroyd-B model without stress diffusion
by: Zhao, Yajuan, et al.
Published: (2024)

Large data existence of global-in-time strong solutions to the incompressible Navier-Stokes equations in high space dimensions
by: Xu, Xiangsheng
Published: (2024)

On the ill-posedness of kinetic wave equations
by: Ampatzoglou, Ioakeim, et al.
Published: (2024)

Hamiltonian compactness and dissipation for the generalized SQG equation in the inviscid limit
by: De Rosa, Luigi, et al.
Published: (2026)

Singular profile of free boundary of incompressible inviscid fluid with external force
by: Du, Lili, et al.
Published: (2024)

Global well-posedness and long time behavior of 2D MHD equations with partial dissipation in half space
by: Jin, Jiakun, et al.
Published: (2024)

Norm inflation and low-regularity ill-posedness for the rod equation
by: Li, Jinlu, et al.
Published: (2026)

On the ill-posedness for the Navier--Stokes equations in the weakest Besov spaces
by: Yu, Yanghai, et al.
Published: (2024)

On ill-posedness for the Gabitov--Turitsyn equation
by: Kowalski, Matthew
Published: (2025)

On local well-posedness of the stochastic incompressible density-dependent Euler equations
by: Espitia, Claudia, et al.
Published: (2024)

Regularization by noise for the inviscid primitive equations
by: Hu, Ruimeng, et al.
Published: (2024)

Equilibration and convected limit in 2D-1D corotational Oldroyd's fluid-structure interaction
by: Mensah, Prince Romeo
Published: (2025)

On the rigidity of the 2D incompressible Euler equations
by: Wang, Yuchen, et al.
Published: (2023)

Global well-posedness of the inviscid resistive isentropic compressible MHD system
by: Li, Jinkai, et al.
Published: (2025)

Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces
by: Chen, Qionglei, et al.
Published: (2024)

Global weak solutions and incompressible limit to the isentropic compressible magnetohydrodynamic equations in 2D bounded domains with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)

Global well-posedness for the 2D incompressible heat conducting Navier-Stokes equations with temperature-dependent coefficients and vacuum
by: Dong, Wenchao, et al.
Published: (2024)

On the hydrostatic approximation of 3D Oldroyd-B model
by: Paicu, Marius, et al.
Published: (2025)

Vanishing center-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem
by: Mensah, Prince Romeo
Published: (2024)

Homogenization of the Navier-Stokes equations in a randomly perforated domain in the inviscid limit
by: Höfer, Richard M., et al.
Published: (2026)

Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
by: Aydın, Mustafa Sencer, et al.
Published: (2024)

Global weak solutions and incompressible limit to the isentropic compressible Navier-Stokes equations in 2D bounded domains with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)