Back to Search
Start Over
On Masuda uniqueness theorem for Leray–Hopf weak solutions in mixed-norm spaces
- Source :
- European Journal of Mechanics - B/Fluids. 90:18-28
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- We revisit the well-known work of K. Masuda in 1984 on the weak–strong uniqueness of L ∞ L 3 Leray–Hopf weak solutions of Navier–Stokes equation. We modify the argument, and extend the uniqueness result to the scaling critical anisotropic Lebesgue space with mixed-norms. As a consequence, our results cover the class of initial data and solutions which may be singular or decay with different rates along different spatial variables. The result relies on the establishment of several refined properties of solutions of the Stokes and Navier–Stokes equations in mixed-norm Lebesgue spaces which seem to be of independent interest.
- Subjects :
- Class (set theory)
Work (thermodynamics)
Pure mathematics
Mathematics::Analysis of PDEs
General Physics and Astronomy
Mechanics
Physics::Fluid Dynamics
Uniqueness theorem for Poisson's equation
Cover (topology)
Standard probability space
Uniqueness
Lp space
Scaling
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 09977546
- Volume :
- 90
- Database :
- OpenAIRE
- Journal :
- European Journal of Mechanics - B/Fluids
- Accession number :
- edsair.doi...........1f36dedf679ad1b2411b5c6e46bbbd64
- Full Text :
- https://doi.org/10.1016/j.euromechflu.2021.08.001