Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier-Stokes system

DOI10.1007/s00208-024-02987-6MaRDI QIDQ6670396

Michael Winkler

Publication date: 23 January 2025

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Could not fetch data.

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results
• Remark on uniqueness of mild solutions to the Navier-Stokes equations
• A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
• Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
• On the stability problem for the Boussinesq equations in weak-\(L^p\) spaces
• Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
• Weak solutions of Navier-Stokes equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• The Navier-Stokes equations -- a neverending challenge?
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces
• On the \(\mathrm {L}^p\)-theory of the Navier-Stokes equations on three-dimensional bounded Lipschitz domains
• Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
• On the energy equality for the 3D Navier-Stokes equations
• Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
• Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier-Stokes equation
• The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary
• The Navier-Stokes equations in exterior Lipschitz domains: \(L^p\)-theory
• On a two components condition for regularity of the 3D Navier-Stokes equations under physical slip boundary conditions on non-flat boundaries
• Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data
• Nonlinear Fokker-Planck Navier-Stokes systems
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On the movement of a space-filling viscous liquid
• Large time decay and growth for solutions of a viscous Boussinesq system
• Bacterial swimming and oxygen transport near contact lines
• On the Oberbeck–Boussinesq Approximation on Unbounded Domains
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications
• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System
• Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains
• Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
• Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations

This page was built for publication: Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier-Stokes system

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6670396)