Rearrangement, convection, convexity and entropy
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Publication:5494568
DOI10.1098/rsta.2012.0343zbMath1292.35226OpenAlexW2061308482WikidataQ51140207 ScholiaQ51140207MaRDI QIDQ5494568
Publication date: 28 July 2014
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2012.0343
PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Free convection (76R10) Forced convection (76R05) Other special methods applied to PDEs (35A25)
Related Items (4)
A new implementation of the geometric method for solving the Eady slice equations ⋮ On global stability of optimal rearrangement maps ⋮ Kinetic models for topological nearest-neighbor interactions ⋮ Entropy and convexity for nonlinear partial differential equations
Cites Work
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- Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Rigorous derivation of the \(x-z\) semigeostrophic equations
- On the optimal mapping of distributions
- Remarks on the derivation of the hydrostatic Euler equations.
- An existence theorem for the multifluid Navier-Stokes problem
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
- Averaged Multivalued Solutions for Scalar Conservation Laws
- Polar factorization and monotone rearrangement of vector‐valued functions
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