Energy accumulates and dissipates on codimension-one shock structures in compressible inviscid flows but not in incompressible ones, via fine-scale analysis of the defect measure in weak solutions.
Ambrosio, Transport equation and Cauchy problem for BV vector fields, Invent
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Dissipative structures in compressible inviscid fluids
Energy accumulates and dissipates on codimension-one shock structures in compressible inviscid flows but not in incompressible ones, via fine-scale analysis of the defect measure in weak solutions.