4 papers
An intrinsic expansion approach to the Galerkin approximations for the Navier-Stokes equations (with an appendix by Chengzhang Fu)
Luan Hoang, Michael S. Jolly
We study the Galerkin approximation of the three-dimensional Navier-Stokes equations. In particular, we examine the convergence of these solutions in a sequence of finite dimension…
Intrinsic expansions in large Grashof numbers for the steady states of the Navier-Stokes equations
Luan Hoang, Michael S. Jolly
We enable a theory of intrinsic asymptotic expansions for the steady state solutions of the full Navier-Stokes equations. Such a theory was first developed in Foias et al (2024 Com…
The Batchelor-Howells-Townsend spectrum: large velocity case
Michael S. Jolly, Djoko Wirosoetisno
We consider the behaviour of a passive tracer governed by in two space dimensions with prescribed smooth random incompressible velocity $u(x…
Tracer turbulence: the Batchelor-Howells-Townsend spectrum revisited
Michael S. Jolly, Djoko Wirosoetisno
Given a velocity field , we consider the evolution of a passive tracer governed by with time-independent source . When …