Splash singularities for a 2D Oldroyd-B model with nonlinear Piola-Kirchhoff stress

In this paper consider a 2-D free boundary Oldroyd-B model at infinite Weissenberg number, under the assumption that the Piola-Kirchoff tensor, entering in the description of the extra-stress tensor, is given by a quadratic, convex energy functional. Our main goal is to investigate the existence of...

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Veröffentlicht in:	Nonlinear differential equations and applications 2017-12, Vol.24 (6), Article 60
Hauptverfasser:	Di Iorio, Elena, Marcati, Pierangelo, Spirito, Stefano
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Conformal mapping Fluids Free boundaries Hyperbolic PDEs Mathematics Mathematics and Statistics Singularity (mathematics) Transformations (mathematics) Transport and Applications: Dedicated to Alberto Bressan for his 60th birthday Two dimensional models
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