23 citations · 86 across the 14 of their papers we have counts for
20 papers · 1 filter
Local separation profiles for the stationary Prandtl system
Ky Giao Duong, Tej-Eddine Ghoul, Sameer Iyer +1
We construct solutions to the two-dimensional stationary Prandtl system under a constant adverse pressure gradient exhibiting a family of distinct separation laws. More precisely,…
Local Rigidity of the Couette Flow for the Stationary Triple-Deck Equations
Sameer Iyer, Yasunori Maekawa
The Triple-Deck equations are a classical boundary layer model which describes the asymptotics of a viscous flow near the separation point, and the Couette flow is an exact station…
The Feynman-Lagerstrom criterion for boundary layers
Theodore D. Drivas, Sameer Iyer, Trinh T. Nguyen
We study the boundary layer theory for slightly viscous stationary flows forced by an imposed slip velocity at the boundary. According to the theory of Prandtl (1904) and Batchelor…
On the stability of shear flows in bounded channels, II: non-monotonic shear flows
Alexandru D. Ionescu, Sameer Iyer, Hao Jia
We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain qua…
Higher Regularity Theory for a Mixed-Type Parabolic Equation
Sameer Iyer, Nader Masmoudi
In this paper, we study the higher regularity theory of a mixed-type parabolic problem. We extend the recent work of \cite{DMR} to construct solutions that have an arbitrary number…
Improved well-posedness for the Triple-Deck and related models via concavity
David Gerard-Varet, Sameer Iyer, Yasunori Maekawa
We establish linearized well-posedness of the Triple-Deck system in Gevrey- regularity in the tangential variable, under concavity assumptions on the background flow. Due…