Continuity of the complete Sobolev mild nonlinearity #
The complete nonlinear Stokes integrand varies continuously at every strictly positive elapsed time when its velocity input is continuous.
theorem
CKN.Leray.regularisedBesselTensorQuadratic_continuous
(ρ : RegMollifierProfile)
(ε : ℝ)
(hε : 0 < ε)
(k : ℕ)
:
Continuous (regularisedBesselTensorQuadratic ρ ε hε k)
The complete H²ᵏ quadratic tensor is continuous in its velocity.