Advective estimates
Jean‐Pierre Lohéac · Mathematical Methods in the Applied Sciences · 1990
Abstract Consider the partial differential equation: wt + bw + a· ∇w = g in ℝn × [0, T] (x1 <0) and if the function a1 is positive, then, in the left half‐space, the solution w is an O (ν) for small Viscosity ν.