4 papers
Remarks on some quasi-linear fourth order parabolic equations arising in mathematical physics
Francesco Fanelli, Rafael Granero-Belinchón, Martina Magliocca +1
This note proves existence and uniqueness of strong solutions to a broad class of fourth-order quasi-linear parabolic equations in the class of Wiener spaces. It improves upon prev…
Solutions of the Navier-Stokes equations with forced rapid space-time decay
Lorenzo Brandolese, Matthieu Pageard
We study the pointwise decay properties of solutions to the incompressible Navier-Stokes equations, both in the space and time variables. It is well known that generic global solut…
Non-Algebraic Decay for Solutions to the Navier-Stokes Equations
Lorenzo Brandolese, Matthieu Pageard, Cilon F. Perusato
Around forty years ago, Michael Wiegner provided, in a seminal paper, sharp algebraic decay rates for solutions of the Navier--Stokes equations, showing that these solutions behave…
Well-posedness for 2D non-homogeneous incompressible fluids with general density-dependent odd viscosity
Matthieu Pageard
We study the initial value problem for a system of equations describing the motion of two-dimensional non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosi…