18 citations · 23 across the 8 of their papers we have counts for
7 papers · 1 filter
A stability result for the Stokes-Boussinesq equations in infinite 3d channels
Marta Lewicka, Mohammadreza Raoofi
We consider the Stokes-Boussinesq (and the stationary Navier-Stokes-Boussinesq) equations in a slanted, i.e. not aligned with the gravity's direction, 3d channel and with an arbitr…
Navier-Stokes-Boussinsq equations in a tube; estimates when the data is front-like
Mohammadreza Raoofi
For the solutions of Navier-Stokes-Boussinesq equations in a three-dimensional thin tube with front like initial data, we derive some uniform estimates on the burning rate and the…
Stability of undercompressive viscous shock profiles of hyperbolic--parabolic systems
Mohammadreza Raoofi, Kevin Zumbrun
Extending to systems of hyperbolic--parabolic conservation laws results of Howard and Zumbrun for strictly parabolic systems, we show for viscous shock profiles of arbitrary amplit…
Pointwise Green function bounds and stability of combustion waves
Gregory Lyng, Mohammadreza Raoofi, Benjamin Texier +1
Generalizing similar results for viscous shock and relaxation waves, we establish sharp pointwise Green function bounds and linearized and nonlinear stability for traveling wave so…
Sharp pointwise bounds for perturbed viscous shock waves
Peter Howard, Mohammadreza Raoofi, Kevin Zumbrun
Refining previous work in \cite{Z.3, MaZ.3, Ra, HZ, HR}, we derive sharp pointwise bounds on behavior of perturbed viscous shock profiles for large-amplitude Lax or overcompressive…
Pointwise Asymptotic Behavior of Perturbed Viscous Shock Profiles
Peter Howard, Mohammadreza Raoofi
We consider the asymptotic behavior of perturbations of Lax and overcompressive type viscous shock profiles arising in systems of regularized conservation laws with strictly parabo…