2 citations · 2 across the 4 of their papers we have counts for
5 papers
Splash-squeeze singularities and analytic breakdown in ideal incompressible MHD
Diego Córdoba, Alberto Enciso, Matthew Hernandez
We construct splash-squeeze singularities for the free boundary ideal incompressible plasma-vacuum system, in which two arcs of the plasma boundary come together to form a smooth,…
Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma
Matthew Hernandez, Neel Patel, Elena Salguero
The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by d…
Stopping time convergence for processes associated with Dirichlet forms
J. R. Baxter, M. Nielsen Hernandez
Convergence is proved for solutions of Dirichlet problems in regions with many small excluded sets (holes), as the holes become smaller and more numerous. The problem is formulated…
Mechanisms of Lagrangian analyticity in fluids
Matthew Hernandez
Certain systems of inviscid fluid dynamics have the property that for solutions that are only slightly better than differentiable in Eulerian variables, the corresponding Lagrangia…
Resonant leading term geometric optics expansions with boundary layers for quasilinear hyperbolic boundary problems
Matthew Hernandez
We construct and justify leading order weakly nonlinear geometric optics expansions for nonlinear hyperbolic initial value problems, including the compressible Euler equations. The…