PROJECTIONS ONTO THE CONE OF OPTIMAL TRANSPORT MAPS AND COMPRESSIBLE FLUID FLOWS

DOI10.1142/S0219891610002244zbMath1213.35304MaRDI QIDQ3067123

Michael Westdickenberg

Publication date: 20 January 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

polytropic gasvariational time discretizationisentropic Euler equations

Mathematics Subject Classification ID

Variational inequalities (49J40) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (4)

On the fundamental solution and a variational formulation for a degenerate diffusion of Kolmogorov type ⋮ Conservative-dissipative approximation schemes for a generalized Kramers equation ⋮ A variational time discretization for compressible Euler equations ⋮ The polar cone of the set of monotone maps

Cites Work

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• Some geometric calculations on Wasserstein space
• Finite energy solutions to the isentropic Euler equations with geometric effects
• Theory of function spaces
• A geometrical approach to monotone functions in \(\mathbb{R}^n\)
• Gradient Young measures generated by sequences in Sobolev spaces
• Composite media and asymptotic Dirichlet forms
• A convexity principle for interacting gases
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
• A Wasserstein Approach to the One-Dimensional Sticky Particle System
• Optimal Transport for the System of Isentropic Euler Equations
• Polar factorization and monotone rearrangement of vector‐valued functions
• Identification du cône dual des fonctions convexes et applications
• The Variational Formulation of the Fokker--Planck Equation
• $\Gamma$-Convergence through Young Measures
• Hamiltonian ODEs in the Wasserstein space of probability measures

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