Cover Image

Sharpness of the Osgood Criterion for the Continuity Equation with Divergence-free Vector Fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Colombo, Roberto, Kumar, Anuj
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

Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field
by: Bruè, Elia, et al.
Published: (2024)

Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
by: Kumar, Anuj, et al.
Published: (2026)

Finite Time Explosion of Stochastic Differential Equations: A survey into Khasminskii's Lyapunov Method and its Consistency with the Osgood Criterion
by: Lee, Seungsoo
Published: (2024)

A convex integration scheme for the continuity equation past the Sobolev embedding threshold
by: Colombo, Maria, et al.
Published: (2025)

Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity
by: Bruè, Elia, et al.
Published: (2024)

Transport equations for Osgood velocity fields
by: Fjordholm, Ulrik Skre, et al.
Published: (2025)

Almost anomalous dissipation in advection-diffusion of a divergence-free passive vector
by: Kumar, Anuj
Published: (2024)

Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian
by: Carducci, Matteo, et al.
Published: (2024)

Orbit-Level Stretching in Cubic Fourier-Galerkin Navier-Stokes: Sharp Incidence, Spectral Decay, and a Continuation Criterion
by: Kiriukhin, Oleg
Published: (2026)

Mass-energy Scattering Criterion For Double Power Schr{ö}dinger Equations
by: Duyckaerts, Thomas, et al.
Published: (2024)

Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces
by: Bang, Jeaheang, et al.
Published: (2026)

Sharp-Interface Limit of the Cahn-Hilliard-Biot Equations
by: Storvik, Erlend, et al.
Published: (2024)

A simple proof of linear instability of shear flows with application to vortex sheets
by: Kumar, Anuj, et al.
Published: (2023)

Sharp well-posedness for the free boundary MHD equations
by: Ifrim, Mihaela, et al.
Published: (2024)

Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations
by: Colombo, Rinaldo M., et al.
Published: (2024)

Sharp Asymptotic Stability of Blasius Profile in the Steady Prandtl Equation
by: Jia, Hao, et al.
Published: (2024)

Stability and Sharp Decay Estimates for 3D MHD Equations with Only Vertical Dissipation Near a Background Magnetic Field
by: Lai, Suhua, et al.
Published: (2024)

Sharp Asymptotic Behavior of the Steady Pressure-free Prandtl system
by: Gao, Chen, et al.
Published: (2025)

Fractional Vector Calculus and the Fractional Maxwell's Equations
by: Covi, Giovanni, et al.
Published: (2026)

Time-Fractional Porous Medium Type Equations. Sharp Time Decay and Regularization
by: Bonforte, Matteo, et al.
Published: (2024)

Global $C^{1,α}$-Regularity for Musielak-Orlicz Equations in Divergence Form
by: Missaoui, Hlel
Published: (2026)

Sharp power concavity of two relevant free boundary problems of reaction-diffusion type
by: He, Qingyou
Published: (2025)

Sharp Non-uniqueness in Law for Stochastic Differential Equations on the Whole Space
by: Lü, Huaxiang, et al.
Published: (2025)

Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation
by: Chen, Xuwen, et al.
Published: (2026)

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)

Unique Continuation of Static Over-Determined Magnetohydrodynamic Equations
by: Lasiecka, Irena, et al.
Published: (2025)

Sharp Exponent of Stable Standing Waves for the Perturbated Hartree Equation
by: Fu, Guoyi, et al.
Published: (2026)

Unique Continuation for Fifth-Order KP Equation and its application to control problems
by: Capistrano-Filho, Roberto de A., et al.
Published: (2026)

An Improved Regularity Criterion and Absence of Splash-like Singularities for g-SQG Patches
by: Jeon, Junekey, et al.
Published: (2021)

Regularity of Solution of the Schrödinger Equation on Symmetric Space
by: Kumar, Pratyoosh, et al.
Published: (2024)

Stabilizing DG Methods Using Dafermos' Entropy Rate Criterion: III -- Unstructured Grids
by: Klein, Simon-Christian
Published: (2024)

On Sharp Heisenberg Uncertainty Principle and the stability
by: Huang, Xia, et al.
Published: (2025)

Sharp Strong Convergence in Ideal Flows
by: Houamed, Haroune, et al.
Published: (2025)

Sharp quantitative stability of the Yamabe problem
by: Chen, Haixia, et al.
Published: (2024)

A Weighted Regularity Criterion for Suitable Weak Solutions of Incompressible Non-Newtonian Fluids
by: Kim, Jae-Myoung
Published: (2026)

Reformulation and Interpretation of the Regularity Criterion for 3D NSE Based on Finitely Many Observations
by: Balakrishna, Abhishek, et al.
Published: (2026)

Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
by: Do, Ngoc, et al.
Published: (2024)

Long-Time Dynamics of the Zakharov-Kuznetsov Equation
by: Filho, Roberto de A. Capistrano, et al.
Published: (2025)

A Rough Divergence Theorem
by: Ruf, Thomas
Published: (2025)

Unique Continuation Property for Stochastic Wave Equations
by: Lü, Qi, et al.
Published: (2026)