Francisco Mengual

activity

20182026

most citedH-principle for the 2D incompressible porous media equation with viscosity jump

8 citations · 14 across the 9 of their papers we have counts for

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Showing 2020Show all

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math.AP2020

Dissipative Euler flows for vortex sheet initial data without distinguished sign

Francisco Mengual, László Székelyhidi

We construct infinitely many admissible weak solutions to the 2D incompressible Euler equations for vortex sheet initial data. Our initial datum has vorticity concentrated on a sim…

math.AP2020★ 8 cited

H-principle for the 2D incompressible porous media equation with viscosity jump

Francisco Mengual

In this work we extend the results in [6,32] on the 2D IPM system with constant viscosity (Atwood number $A_{μ} = 0$ ) to the case of viscosity jump ( $∣ A_{μ} ∣ < 1$ ). We prove a h-principle…