Transonic Flows and Isometric Embeddings
DOI10.1007/978-1-4419-9554-4_12zbMath1245.35092OpenAlexW235205144MaRDI QIDQ2908817
Marshall Slemrod, Dehua Wang, Gui-Qiang G. Chen
Publication date: 29 August 2012
Published in: Nonlinear Conservation Laws and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-9554-4_12
Euler equationsisometric embeddingentropy solutionstransonic flowcompensated compactnessgas dynamicsviscosity methodnegative Gauss curvatureGauss-Codazzi systemtwo-dimensional Riemannian manifold
PDEs in connection with fluid mechanics (35Q35) Transonic flows (76H05) PDEs of mixed type (35M10) Theoretical approximation in context of PDEs (35A35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Cites Work
- Isometric immersions and compensated compactness
- The imbedding problem for Riemannian manifolds
- Vanishing viscosity method for transonic flow
- On steady transonic flow by compensated compactness
- On two-dimensional sonic-subsonic flow
- On Pfaff systems with \(L^p\) coefficients and their applications in differential geometry
- Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding
- The local isometric embedding inR3 of two-dimensional riemannian manifolds with gaussian curvature changing sign cleanly
- On a weak solution for a transonic flow problem
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