112 citations · 378 across the 30 of their papers we have counts for
6 papers · 1 filter
Quantitative Sobolev regularity of quasiregular maps
Francesco Di Plinio, A. Walton Green, Brett D. Wick
We quantify the Sobolev space norm of the Beltrami resolvent , where is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev s…
Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
Francesco Di Plinio, Andrea Giorgini, Vittorino Pata +1
We consider a Navier-Stokes-Voigt fluid model where the instantaneous kinematic viscosity has been completely replaced by a memory term incorporating hereditary effects, in presenc…
Grisvard's shift theorem near L^infinity and Yudovich theory on polygonal domains
Francesco Di Plinio, Roger Temam
Let Omega be a bounded, simply connected domain with boundary of class C^{1,1} except at finitely many points S_j where the boundary is locally a corner of aperture alpha_j<=pi/2.…
The 3-dimensional oscillon equation
Francesco Di Plinio, Gregory S. Duane, Roger Temam
On a bounded three-dimensional smooth domain, we consider the generalized oscillon equation with Dirichlet boundary conditions, with time-dependent damping and time-dependent squar…
The Euler Equations in planar nonsmooth convex domains
Claude Bardos, Francesco Di Plinio, Roger Temam
We consider the Euler system set on a bounded convex planar domain, endowed with impermeability boundary conditions. This system is a model for the barotropic mode of the Primitive…
Asymptotics of the Coleman-Gurtin model
Mickaël D. Chekroun, Francesco Di Plinio, Nathan E. Glatt-Holtz +1
This paper is concerned with the integrodifferential equation $$\partial_t u-Δu -\int_0^\infty κ(s)Δu(t-s)\,\d s + φ(u)=f$$ arising in the Coleman-Gurtin's theory of heat conductio…