A fluid dynamic formulation of the isometric embedding problem in differential geometry

DOI10.1090/S0033-569X-09-01142-1zbMath1187.35135arXiv1108.4945OpenAlexW1965023346WikidataQ115283417 ScholiaQ115283417MaRDI QIDQ5305321

Marshall Slemrod, Dehua Wang, Gui-Qiang G. Chen

Publication date: 22 March 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4945

zbMATH Keywords

isometric embeddingdifferential geometrytransonic flowcompensated compactnessgas dynamicsviscosity methodtwo-dimensional Riemannian manifold

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) First-order nonlinear hyperbolic equations (35L60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Global Isometric Embedding of Surfaces in $$\mathbb R^3$$ ⋮ Elasticity of Twist-Bend Nematic Phases ⋮ Hyper-elastic Ricci flow ⋮ On the existence of \(C^{1,1}\)-isometric immersions of several classes of negatively curved surfaces into \(\mathbb{R}^3\)

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