The stationary Oseen equations are studied in R3 in its general form, that is, with a non-constant divergenceless function on the convective term. We prove existence, uniqueness and regularity results in weighted Sobolev spaces. From this new approach, we also state existence, uniqueness and regularity results for the generalized Oseen model which describes the rotating flows. The proofs are ba...

We study the existence of profiles for Chapman-Jouguet detonation and deflagration waves in the Navier-Stokes equations for a reacting gas. In the limit of small viscosity, heat conductivity, and diffusion, the profiles correspond to heteroclinic orbits of a system of singularly perturbed ordinary differential equations. The burned end state of the waves, however, is a nonhyperbolic equilibrium...

We consider the equivariant quantum differential equation for projective space $$P^{n-1}$$ and introduce a compatible system of difference equations. prove an gamma theorem , which describes asymptotics at its regular singular point in terms characteristic class tangent bundle . describe Stokes bases irregular exceptional K-theory algebra suitable braid group action on set bases. Our results a...

In 1986, Yakhot and Orszag developed a dynamic renormalization group method to solve the turbulence problem. In this paper, a particular random force is added to the Navier-Stokes Equation, and then following the standard renormalization group procedure, renormalization group equations and fixed points can be obtained. Together with some perturbation methods, many important turbulent constants ...