Jean Florent Romaric GNAYORO

THE CHRONO-GEOMETRY OF THE β-MATERIAL: GLOBAL EXISTENCE, HYPERBOLICITY AND VISCOUS SATURATION FOR A CUTOFF QUARTIC OPERATOR

We study an incompressible MHD system coupled to a scalar field Φ through a degenerate fourth-order energy term F_β = (β/4)(∂μ Φ ∂^μ Φ)² χ_R with cutoff χ_R of order q=5. The operator Δ̂{β,R}(Φ) := -∇·( β |∇Φ|² ∇Φ χ_R ) is of p-Laplacian type with p=5. The single parameter β has...