The optimal regularity criterion for the Navier‐Stokes equations in terms of one directional derivative of the velocity
From MaRDI portal
Publication:6142234
DOI10.1002/zamm.201800114WikidataQ127254791 ScholiaQ127254791MaRDI QIDQ6142234
Yuliya V. Namlyeyeva, Zdeněk Skalák
Publication date: 25 January 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible viscous fluids (76Dxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
- Regularity criteria for the Navier-Stokes equations based on one component of velocity
- On the critical one component regularity for 3-D Navier-Stokes system: general case
- The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component
- Backward uniqueness for parabolic equations
- An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Sufficient conditions for the regularity to the 3D Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Teoremi di inclusione per spazi di Sobolev non isotropi
- A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient
- The Three-Dimensional Navier–Stokes Equations
- Navier-Stokes equations with regularity in one direction
- On the regularity of the solutions of the Navier–Stokes equations via one velocity component
- On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
- Unnamed Item
- Unnamed Item
- Unnamed Item
