def
definition
def or abbrev
kSq
show as:
view Lean formalization →
formal statement (Lean)
67noncomputable def kSq (k : Mode2) : ℝ :=
proof body
Definition body.
68 (k.1 : ℝ) ^ 2 + (k.2 : ℝ) ^ 2
69
70/-- Fourier Laplacian on coefficients: (Δ û)(k) = -|k|² û(k). -/
used by (19)
-
abs_heatFactor_le_one -
duhamelKernelDominatedConvergenceAt_of_forcing -
duhamelRemainderOfGalerkin_integratingFactor -
duhamelRemainderOfGalerkin_kernel -
extendByZero_laplacianCoeff -
galerkin_duhamelKernel_identity -
galerkinNS_hasDerivAt_duhamelRemainder_mode -
galerkinNS_hasDerivAt_extendByZero_mode -
heatFactor -
IsStokesODETraj -
nsDuhamelCoeffBound_galerkinKernel -
nsDuhamelCoeffBound_galerkinKernel_of_forcing -
nsDuhamelCoeffBound_galerkinKernel_of_forcingHyp -
stokesODE -
laplacianCoeff -
laplacianCoeff_inner_self_nonpos -
rs_implies_global_regularity_2d_nsDuhamelCoeffBound_galerkinKernel -
rs_implies_global_regularity_2d_nsDuhamelCoeffBound_galerkinKernel_of_forcing -
rs_implies_global_regularity_2d_nsDuhamelCoeffBound_galerkinKernel_of_forcingHyp