15 citations · 15 across the 3 of their papers we have counts for
4 papers
Bypassing Hölder super-critcality barriers in viscous, incompressible fluids
Hussain Ibdah
This is the second in a series of papers where we analyze the incompressible Navier-Stokes equations in Hölder spaces. We obtain, to our knowledge, the very first genuinely super-c…
Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms
Hussain Ibdah
We analyze the propagation of Lipschitz continuity of solutions to various linear and nonlinear drift-diffusion systems, with and without incompressibility constraints. Diffusion i…
Strong solutions to a modified Michelson-Sivashinsky equation
Hussain Ibdah
We prove a global well-posedness and regularity result of strong solutions to a slightly modified Michelson-Sivashinsky equation in any spatial dimension and in the absence of phys…
Uniform in time error estimates for fully discrete numerical schemes of a data assimilation algorithm
Hussain A. Ibdah, Cecilia F. Mondaini, Edriss S. Titi
We consider fully discrete numerical schemes for a downscaling data assimilation algorithm aimed at approximating the velocity field of the 2D Navier-Stokes equations corresponding…