1 citations · 2 across the 7 of their papers we have counts for
7 papers
The Cauchy problem for the standard one pressure system of two fluid flows with energy equations
M. Colombeau
We construct with full rigorous mathematical proof a family of approximate solutions to the Cauchy problem for the standard system of two fluid flows with energy equations and we p…
A numerical approximation for the standard one pressure system of two fluid flows with energy equations
Mathilde Colombeau
We study numerically the standard one pressure model of two fluid flows with energy equations. This system is not solved in time derivative. It has been transformed into an equival…
Approximate solutions to the initial value problem for some compressible flows in presence of shocks and void regions
Mathilde Colombeau
For the natural initial conditions in the density field (more generally a positive bounded Radon measure) and in the velocity field we obtain global approximate so…
Asymptotic study of the initial value problem to a standard one pressure model of multifluid flows in nondivergence form
Mathilde Colombeau
We construct families of approximate solutions to the initial value problem and provide complete mathematical proofs that they tend to satisfy the standard system of isothermal one…
Weak asymptotic methods for 3-D self-gravitating pressureless fluids. Application to the creation and evolution of solar systems from the fully nonlinear Euler-Poisson equations
M. colombeau
We construct a family of classical continuous functions which tend to satisfy asymptotically the system of self-gravitating pressureless fluids.
Irregular shock waves formation as continuation of analytic solutions
M. Colombeau
This paper is devoted to the blow-up of analytic solutions with the emergence of irregular solutions.