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arxiv: 1804.04285 · v1 · pith:WIFSYFB5new · submitted 2018-04-12 · 🧮 math.AP

H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

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keywords continuouslderprandtlsolutionssystemadaptingconstructconvex
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Adapting the convex integration technique introduced by De Lellis and Sz{\'e}kelyhidi, we construct H\"{o}lder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity.

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