For small initial perturbations in H^k ∩ W^{3,1} with k ≥ 14, the 2D Boussinesq equations with only horizontal dissipation admit global classical solutions that decay at explicit anisotropic rates.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$
For small initial perturbations in H^k ∩ W^{3,1} with k ≥ 14, the 2D Boussinesq equations with only horizontal dissipation admit global classical solutions that decay at explicit anisotropic rates.