8 citations · 34 across the 14 of their papers we have counts for
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math.AP2023★ 5 cited
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
We develop a convex integration scheme for constructing nonunique weak solutions to the hydrostatic Euler equations (also known as the inviscid primitive equations of oceanic and a…
math.AP2023★ 1 cited
Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains
Claude Bardos, Daniel W. Boutros, Edriss S. Titi
We consider the three-dimensional incompressible Euler equations on a bounded domain with boundary. We prove that if the velocity field with (w…
math.AP2023★ 6 cited
Phase transitions in the fractional three-dimensional Navier-Stokes equations
Daniel W. Boutros, John D. Gibbon
The fractional Navier-Stokes equations on a periodic domain differ from their conventional counterpart by the replacement of the Laplacian term by $ν_…