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arxiv: math/0101244 · v1 · submitted 2001-01-30 · 🧮 math.AP

Scalars convected by a 2D incompressible flow

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keywords incompressiblevelocityappearconvecteddevelopdimensionalflowflows
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We provide a test for numerical simulations, for several two dimensional incompressible flows, that appear to develop sharp fronts. We show that in order to have a front the velocity has to have uncontrolled velocity growth.

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