Transport equation: extension of classical results for div b∈ BMO
Abstract
We investigate the transport equation: ut+b · ∇ u=0. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: b ∈ L∞ by b ∈ BMO.
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We investigate the transport equation: ut+b · ∇ u=0. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: b ∈ L∞ by b ∈ BMO.