Bressan's conjecture for anomalous dissipation with rough velocity fields
Let θκ\theta^\kappaθκ be a solution of the viscous transport equation on Td\mathbb{T}^dTd with velocity field u∈L1([0,∞),W1,1(Td))u\in L^1([0,\infty),W^{1,1}(\mathbb{T}^d))u∈L1([0,∞),W1,1(Td)) and smooth initial data…