Analysis and Mathematical Physics
Dissipation Concentration in Two-Dimensional Fluids
We give several constraints on the dissipation measure arising in the inviscid limit of two-dimensional incompressible fluids under minimal assumptions on the initial datum. None of them is replicable in three dimensions, highlighting the non-trivial effect of the higher order conserved quantity, or "double cascade", even in regularity settings where it shouldn't be that effective. When "scales are quantified", we are able to provide new criteria for anomalous dissipation. There is reason to believe that this is part of a more general picture.
Date & Time
April 21, 2026 | 2:30pm – 3:30pm
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04/21/2026 14:30
04/21/2026 15:30
Analysis and Mathematical Physics
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Topic: Dissipation Concentration in Two-Dimensional Fluids
Speakers: Luigi De Rosa, Gran Sasso Science Institute
More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-82
We give several constraints on the dissipation measure arising in the
inviscid limit of two-dimensional incompressible fluids under minimal
assumptions on the initial datum. None of them is replicable in three
dimensions, highlighting the non-trivial effect of the higher order
conserved quantity, or "double cascade", even in regularity settings
where it shouldn't be that effective. When "scales are quantified", we
are able to provide new criteria for anomalous dissipation. There is
reason to believe that this is part of a more general picture.
Simonyi Hall 101 and Remote Access
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Location
Simonyi Hall 101 and Remote AccessSpeakers
Luigi De Rosa, Gran Sasso Science Institute