Epochs of regularity for wild H\"older-continuous solutions of the
Hypodissipative Navier-Stokes System
Epochs of regularity for wild H\"older-continuous solutions of the
Hypodissipative Navier-Stokes System
We consider the hypodissipative Navier-Stokes equations on $[0,T]\times\mathbb{T}^{d}$ and seek to construct non-unique, H\"older-continuous solutions with epochs of regularity (smooth almost everywhere outside a small singular set in time), using convex integration techniques. In particular, we give quantitative relationships between the power of the fractional Laplacian, the dimension of the …