An experiment in which the third Stokes parameter thermal emission from a periodic water surface was measured is documented. This parameter is shown to be related to the direction of periodicity of the periodic surface and to approach brightnesses of up to 30 K at X band for the surface used in the experiment. The surface actually analyzed was a _two-layer' periodic surface; the theory of therm...

In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier-Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, using this renomalized equation we can give a new construction for a suitable weak solution of the classic...

Recently, the Navier-Stokes-Voight (NSV) model of viscoelastic incompressible fluid has been proposed as a regularization of the 3D Navier-Stokes equations for the purpose of direct numerical simulations. In this work we prove that the global attractor of the 3D NSV equations, driven by an analytic forcing, consists of analytic functions. A consequence of this result is that the spectrum of the...

In this paper, we study the Stokes phenomenon of cyclotomic Knizhnik–Zamolodchikov equation associated to symmetric pair $$(\mathfrak {gl}_n,\mathfrak {so}_n)$$ , and prove that its two types matrices satisfy Yang–Baxter reflection equations respectively. We briefly discuss isomonodromy deformation, relations with associators, twists quantum pairs.