Observation of Surface-Induced Broken Time-Reversal Symmetry in Tunnel Junctions

M Covington, M Aprili, E Paraoanu, LH Greene, F Xu… - Physical review …, 1997 - APS
Data from ab-oriented YBa 2 Cu 3 O 7/I/Cu tunnel junctions are presented. Self-assembled
monolayers form the insulating tunnel barrier, I. The YBa 2 Cu 3 O 7 features in the tunneling …

Harmonic analysis tools for solving the incompressible Navier–Stokes equations

M Cannone - Handbook of mathematical fluid dynamics, 2005 - Elsevier
Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

Asymptotics and stability for global solutions to the Navier-Stokes equations

I Gallagher, D Iftimie, F Planchon - Annales de l'Institut fourier, 2003 - numdam.org
Asymptotics and stability for global solutions to the Navier-Stokes equations Page 1 ANNA
L E S D E L’INSTITU T FO U RIER ANNALES DE L’INSTITUT FOURIER Isabelle …

An alternative approach to regularity for the Navier–Stokes equations in critical spaces

CE Kenig, GS Koch - Annales de l'IHP Analyse non linéaire, 2011 - numdam.org
An alternative approach to regularity for the Navier–Stokes equations in critical spaces Page 1
Ann. IH Poincaré – AN 28 (2011) 159–187 www.elsevier.com/locate/anihpc An alternative …

On the stability of global solutions to Navier–Stokes equations in the space

P Auscher, S Dubois, P Tchamitchian - Journal de mathématiques pures et …, 2004 - Elsevier
We show that the global solutions to the Navier–Stokes equations in R 3 with data in VMO−
1 which belong to the space defined by Koch and Tataru are stable, in the sense that they …

[HTML][HTML] Global, decaying solutions of a focusing energy-critical heat equation in R4

S Gustafson, D Roxanas - Journal of Differential Equations, 2018 - Elsevier
We study solutions of the focusing energy-critical nonlinear heat equation ut= Δ u−| u| 2 u in
R 4. We show that solutions emanating from initial data with energy and H˙ 1-norm below …

Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable

JY Chemin, P Zhang - Communications in Partial Differential …, 2015 - Taylor & Francis
By applying Wiegner's method in, we first prove the large time decay estimate for the global
solutions of a 2.5 dimensional Navier-Stokes system, which is a sort of singular perturbed 2 …

Maximal L1 regularity for solutions to inhomogeneous incompressible Navier-Stokes equations

H Xu - Journal of Differential Equations, 2022 - Elsevier
This paper is devoted to the maximal L 1 regularity and asymptotic behavior for solutions to
the inhomogeneous incompressible Navier-Stokes equations under a scaling-invariant …

Global Well‐Posedness and Long Time Decay of Fractional Navier‐Stokes Equations in Fourier‐Besov Spaces

W Xiao, J Chen, D Fan, X Zhou - Abstract and Applied Analysis, 2014 - Wiley Online Library
We study the Cauchy problem of the fractional Navier‐Stokes equations in critical Fourier‐
Besov spaces FB˙ p, q 123-β+/p′. Some properties of Fourier‐Besov spaces have been …

Analyticity estimates for the Navier–Stokes equations

I Herbst, E Skibsted - Advances in Mathematics, 2011 - Elsevier
We study spatial analyticity properties of solutions of the three-dimensional Navier–Stokes
equations and obtain new growth rate estimates for the analyticity radius. We also study …