Ill-posedness in $B^s_{p,\infty}$ of the Euler equations: Non-continuous dependence
Fuente:
arXiv
Saved in:
| Main Authors: | Li, Jinlu, Yu, Yanghai |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A new proof of unboundedness of Riesz operator in $L^\infty$ and applications to mild ill-posedness in $W^{1,\infty}$ of the Euler type equations
by: Li, Jinlu, et al.
Published: (2026)
by: Li, Jinlu, et al.
Published: (2026)
Ill-posedness and inviscid limit of basic equations of fluid dynamics in Besov spaces
by: Li, Jinlu, et al.
Published: (2025)
by: Li, Jinlu, et al.
Published: (2025)
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
by: Li, Jinlu, et al.
Published: (2024)
by: Li, Jinlu, et al.
Published: (2024)
Non-convergence of the Navier-Stokes equations toward the Euler equations in the endpoint Besov spaces
by: Yu, Yanghai, et al.
Published: (2025)
by: Yu, Yanghai, et al.
Published: (2025)
On the continuous properties for the 3D incompressible rotating Euler equations
by: Li, Jinlu, et al.
Published: (2025)
by: Li, Jinlu, et al.
Published: (2025)
Norm inflation and low-regularity ill-posedness for the rod equation
by: Li, Jinlu, et al.
Published: (2026)
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)
by: Yu, Yanghai, et al.
Published: (2024)
Global existence and blow-up for the Euler-Poincaré equations with a class of initial data
by: Li, Jinlu, et al.
Published: (2024)
by: Li, Jinlu, et al.
Published: (2024)
Nonexistence of Hölder continuous solution for the Camassa-Holm equation in Besov spaces
by: Yu, Yanghai, et al.
Published: (2024)
by: Yu, Yanghai, et al.
Published: (2024)
Nowhere-uniform continuity of the solution map of the Camassa-Holm equation in Besov spaces
by: Li, Jinlu, et al.
Published: (2022)
by: Li, Jinlu, et al.
Published: (2022)
Non-uniform dependence on initial data for the Camassa--Holm equation in Besov spaces: Revisited
by: Li, Jinlu, et al.
Published: (2021)
by: Li, Jinlu, et al.
Published: (2021)
Well-posedness and no-uniform dependence for the Euler-Poincaré equations in Triebel-Lizorkin spaces
by: Zhong, Yuanhua, et al.
Published: (2024)
by: Zhong, Yuanhua, et al.
Published: (2024)
Non-uniform dependence on initial data for the generalized Camassa-Holm equation in $C^1$
by: Yu, Yanghai, et al.
Published: (2024)
by: Yu, Yanghai, et al.
Published: (2024)
Ill-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit
by: Bianchini, Roberta, et al.
Published: (2024)
by: Bianchini, Roberta, et al.
Published: (2024)
On local well-posedness of the stochastic incompressible density-dependent Euler equations
by: Espitia, Claudia, et al.
Published: (2024)
by: Espitia, Claudia, et al.
Published: (2024)
Mild ill-posedness in $W^{1,\infty}$ for the incompressible porous media equation
by: Xie, Yaowei, et al.
Published: (2024)
by: Xie, Yaowei, et al.
Published: (2024)
Ill-posedness of the Dirichlet problem for 2D Lagrangian mean curvature equation
by: Cao, Wentao, et al.
Published: (2024)
by: Cao, Wentao, et al.
Published: (2024)
Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schrödinger equations on the torus
by: Kato, Takamori, et al.
Published: (2025)
by: Kato, Takamori, et al.
Published: (2025)
Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations
by: Ifrim, Mihaela, et al.
Published: (2023)
by: Ifrim, Mihaela, et al.
Published: (2023)
Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids
by: Xie, Binqiang, et al.
Published: (2024)
by: Xie, Binqiang, et al.
Published: (2024)
Well-posedness of stochastic continuity equations on Riemannian manifolds
by: Galimberti, Luca, et al.
Published: (2021)
by: Galimberti, Luca, et al.
Published: (2021)
Well-posedness of rough 2D Euler equation with bounded vorticity
by: Roveri, Leonardo, et al.
Published: (2024)
by: Roveri, Leonardo, et al.
Published: (2024)
Strong Ill-Posedness in $L^\infty$ for the Riesz Transform Problem
by: Elgindi, Tarek M., et al.
Published: (2022)
by: Elgindi, Tarek M., et al.
Published: (2022)
Non-uniqueness of Hölder continuous solutions for stochastic Euler and Hypodissipative Navier-Stokes equations
by: Kinra, Kush, et al.
Published: (2024)
by: Kinra, Kush, et al.
Published: (2024)
Strong ill-posedness in $L^{\infty}$ of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations
by: Bianchini, Roberta, et al.
Published: (2023)
by: Bianchini, Roberta, et al.
Published: (2023)
Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces
by: Bang, Jeaheang, et al.
Published: (2026)
by: Bang, Jeaheang, et al.
Published: (2026)
Ill-posedness of incompressible Kelvin-Helmholtz problem with transverse magnetic field
by: Xie, Binqiang, et al.
Published: (2025)
by: Xie, Binqiang, et al.
Published: (2025)
Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
by: Houamed, Haroune
Published: (2025)
by: Houamed, Haroune
Published: (2025)
The TURBO method for well-posedness of the incompressible Euler equations in Sobolev spaces in any domain
by: Kukavica, I., et al.
Published: (2025)
by: Kukavica, I., et al.
Published: (2025)
Well/Ill-posedness of the Boltzmann Equation with Soft Potential
by: Chen, Xuwen, et al.
Published: (2023)
by: Chen, Xuwen, et al.
Published: (2023)
The global well-posedness of the multi-dimensional compressible Euler system with damping in the $L^p$ critical Besov spaces for $p<2$
by: Zhang, Jianzhong, et al.
Published: (2026)
by: Zhang, Jianzhong, et al.
Published: (2026)
Well-posedness of the Euler system of gas dynamics
by: Feireisl, Eduard, et al.
Published: (2025)
by: Feireisl, Eduard, et al.
Published: (2025)
Ill-posedness in the critical Sobolev space for the $b$-Novikov equation
by: Geba, Dan-Andrei, et al.
Published: (2026)
by: Geba, Dan-Andrei, et al.
Published: (2026)
Ill-posedness and global solution for the $b$-equation
by: Guo, Yingying, et al.
Published: (2024)
by: Guo, Yingying, et al.
Published: (2024)
Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$
by: Guo, Dengjun, et al.
Published: (2023)
by: Guo, Dengjun, et al.
Published: (2023)
Non-uniqueness of Hölder continuous solutions for Inhomogeneous Incompressible Euler flows
by: Giri, Vikram, et al.
Published: (2024)
by: Giri, Vikram, et al.
Published: (2024)
Non-implosion mechanism of 3D incompessible Euler equations
by: Deng, Wenjie, et al.
Published: (2025)
by: Deng, Wenjie, et al.
Published: (2025)
Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation
by: Jeong, In-Jee, et al.
Published: (2025)
by: Jeong, In-Jee, et al.
Published: (2025)
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation
by: Chen, Xuwen, et al.
Published: (2026)
by: Chen, Xuwen, et al.
Published: (2026)
Non-conservation of a generalized helicity in the Euler equations
by: Giri, Vikram, et al.
Published: (2026)
by: Giri, Vikram, et al.
Published: (2026)
Similar Items
-
A new proof of unboundedness of Riesz operator in $L^\infty$ and applications to mild ill-posedness in $W^{1,\infty}$ of the Euler type equations
by: Li, Jinlu, et al.
Published: (2026) -
Ill-posedness and inviscid limit of basic equations of fluid dynamics in Besov spaces
by: Li, Jinlu, et al.
Published: (2025) -
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
by: Li, Jinlu, et al.
Published: (2024) -
Non-convergence of the Navier-Stokes equations toward the Euler equations in the endpoint Besov spaces
by: Yu, Yanghai, et al.
Published: (2025) -
On the continuous properties for the 3D incompressible rotating Euler equations
by: Li, Jinlu, et al.
Published: (2025)