The exact limits and improved decay estimates for all order derivatives of the global weak solutions of \(n\)-dimensional incompressible Navier-Stokes equations
DOI10.1007/S10255-024-1070-2MaRDI QIDQ6661709
Publication date: 13 January 2025
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
incompressible Navier-Stokes equationsglobal smooth solutionglobal weak solutionsspecial structureexact limitslocal smooth solutionsall order derivativesimproved decay estimates with sharp ratesinfluence on numerical simulationsnovel ideasprimary decay estimates with sharp rates
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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?)
- 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?)
- Global regularity for some classes of large solutions to the Navier-Stokes equations
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Structure of helicity and global solutions of incompressible Navier-Stokes equation
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Solutions in \(L_ r\) of the Navier-Stokes initial value problem
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
- On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Global stability of large solutions to the 3D Navier-Stokes equations
- Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains
- Dynamical behavior for the solutions of the Navier-Stokes equation
- Global attractors for the three-dimensional Navier-Stokes equations
- Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
- Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation
- Existence of global weak solutions of \(p\)-Navier-Stokes equations
- On the Navier-Stokes initial value problem. I
- On the movement of a space-filling viscous liquid
- Navier-Stokes equation in super-critical spaces \(E_{p,q}^s\)
- Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
- Decay Results for Weak Solutions of the Navier-Stokes Equations on Rn
- A sharp decay result on strong solutions of the navier-stokes equations in the whole
- Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- The Navier–Stokes regularity problem
- Existence of global weak solutions to the Navier-Stokes equations in weighted spaces
- Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations
- Global large solutions to incompressible Navier‐Stokes equations with gravity
- Global mild solutions of Navier‐Stokes equations
This page was built for publication: The exact limits and improved decay estimates for all order derivatives of the global weak solutions of \(n\)-dimensional incompressible Navier-Stokes equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6661709)
