On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
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Publication:2085760
DOI10.1016/j.matpur.2022.09.005zbMath1500.35015arXiv2107.03659OpenAlexW3178832484MaRDI QIDQ2085760
Gianluca Crippa, Paolo Bonicatto, Gennaro Ciampa
Publication date: 19 October 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.03659
uniquenessvanishing viscosityadvection-diffusion equationanomalous dissipationregular/stochastic Lagrangian flowtransport/continuity equation
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Initial-boundary value problems for linear first-order PDEs (35F16) Transport equations (35Q49)
Related Items
Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence ⋮ Weak and parabolic solutions of advection-diffusion equations with rough velocity field ⋮ Optimal stability estimates and a new uniqueness result for advection-diffusion equations
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