2 citations · 3 across the 7 of their papers we have counts for
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Zero diffusion-dispersion limits for scalar conservation laws
Cezar Kondo, Philippe G. LeFloch
We consider solutions of hyperbolic conservation laws regularized with vanishing diffusion and dispersion terms. Following a pioneering work by Schonbek, we establish the convergen…
Hyperbolic conservation laws and spacetimes with limited regularity
Philippe G. LeFloch
Hyperbolic conservation laws posed on manifolds arise in many applications to geophysical flows and general relativity. Recent work by the author and his collaborators attempts to…
Entropy solutions of the Euler equations for isothermal relativistic fluids
Philippe G. LeFloch, Mitsuru Yamazaki
We investigate the initial-value problem for the relativistic Euler equations governing isothermal perfect fluid flows, and generalize an approach introduced by LeFloch and Shelukh…
Injectivity Radius of Lorentzian Manifolds
Bing-Long Chen, Philippe G. LeFloch
Motivated by the application to spacetimes of general relativity we investigate the geometry and regularity of Lorentzian manifolds under certain curvature and volume bounds. We es…