Generalized solutions for the Euler equations in one and two dimensions

DOI10.1016/j.matpur.2008.09.011zbMath1170.35078OpenAlexW1982005298WikidataQ112632377 ScholiaQ112632377MaRDI QIDQ1006622

Filippo Santambrogio, Marc Bernot, Alessio Figalli

Publication date: 25 March 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2008.09.011

zbMATH Keywords

generalized solutionsEuler equationsoptimal incompressible flow

Mathematics Subject Classification ID

Related Items (9)

Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation ⋮ Large deviations for the interchange process on the interval and incompressible flows ⋮ A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity ⋮ Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics ⋮ Continuous dependence of the pressure field with respect to endpoints for ideal incompressible fluids ⋮ On the Existence of a Scalar Pressure Field in the Brödinger Problem ⋮ Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport ⋮ Minimal Geodesics Along Volume-Preserving Maps, Through Semidiscrete Optimal Transport ⋮ Multi-Marginal Optimal Transportation Problem for Cyclic Costs

Cites Work

• The dual least action problem for an ideal, incompressible fluid
• Generalized solutions and hydrostatic approximation of the Euler equations
• Geodesics in the space of measure-preserving maps and plans
• The Radon transform
• Generalized fluid flows, their approximation and applications
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
• Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
• ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID

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