113 citations · 127 across the 3 of their papers we have counts for
3 papers
math.AP2011★ 113 cited
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
Philippe G. LeFloch, Mai Duc Thanh
We investigate the Riemann problem for the shallow water equations with variable and (possibly) discontinuous topography and provide a complete description of the properties of its…
math.AP2007★ 6 cited
The Riemann problem for the shallow water equations with discontinuous topography
Philippe G. LeFloch, Mai-Duc Thanh
We construct the solution of the Riemann problem for the shallow water equations with discontinuous topography. The system under consideration is non-strictly hyperbolic and does n…
math.NA2007★ 8 cited
The minimum entropy principle for fluid flows in a nozzle with discontinuous cross-section
Dietmar Kroener, Philippe G. LeFloch, Mai-Duc Thanh
We consider the Euler equations for compressible fluids in a nozzle whose cross-section is variable and may contain discontinuities. We view these equations as a hyperbolic system…