On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Matemáticas, Universidad de los Andes, Bogotá DC (Colombia)
We show a new lower bound on the H{sup .3/2} (T{sup 3}) norm of a possible blow-up solution to the Navier-Stokes equation, and also comment on the extension of this result to the whole space. This estimate can be seen as a natural limiting result for Leray's blow-up estimates in L{sup p}(R{sup 3}), 3 < p < ∞. We also show a lower bound on the blow-up rate of a possible blow-up solution of the Navier-Stokes equation in H{sup .5/2} (T{sup 3}), and give the corresponding extension to the case of the whole space.
- OSTI ID:
- 22251098
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations
Regimes of nonlinear depletion and regularity in the 3D Navier–Stokes equations
Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
Journal Article
·
Mon Oct 16 00:00:00 EDT 2023
· Journal of Numerical Mathematics
·
OSTI ID:22251098
Regimes of nonlinear depletion and regularity in the 3D Navier–Stokes equations
Journal Article
·
Mon Sep 22 00:00:00 EDT 2014
· Nonlinearity
·
OSTI ID:22251098
+3 more
Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
Journal Article
·
Sat Jan 01 00:00:00 EST 1994
· Communications in Partial Differential Equations; (United States)
·
OSTI ID:22251098