On the higher derivatives estimate of the surface growth equation
DOI10.1016/j.na.2022.113157zbMath1504.35099OpenAlexW4306161012MaRDI QIDQ2105515
Wei Wei, Yike Huang, Yan Qing Wang
Publication date: 8 December 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2022.113157
Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localisation and compactness properties of the Navier-Stokes global regularity problem
- Local existence and uniqueness in the largest critical space for a surface growth model
- Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations
- Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity
- Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model
- Derivative estimates for the Navier-Stokes equations in a three dimensional region
- The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)
- Regularity and blow up in a surface growth model
- Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations
- A sufficient integral condition for local regularity of solutions to the surface growth model
- Second derivatives estimate of suitable solutions to the 3D Navier-Stokes equations
- Local regularity of weak solutions of the hypodissipative Navier-Stokes equations
- Decay rates of solutions to the surface growth equation and the Navier-Stokes system
- Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \)
- New regularity criterion for suitable weak solutions of the surface growth model
- Navier-Stokes equations and area of interfaces
- New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations
- Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices
- Energy conservation for weak solutions of a surface growth model
- Fourier Analysis and Nonlinear Partial Differential Equations
- On regularity properties of a surface growth model
- Dynamic Scaling of Growing Interfaces
- Amorphous molecular beam epitaxy: global solutions and absorbing sets
- New a priori estimates for navier-stokes equations in dimension 3
- Partial Regularity for a Surface Growth Model
This page was built for publication: On the higher derivatives estimate of the surface growth equation
