Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Bouchut, François"'
For the 2007 International Forum on Landslide Disaster Management framework, our team performed several numerical simulations on both theoretical and natural cases of granular flows. The objective was to figure out the ability and the limits of our n
Externí odkaz:
http://arxiv.org/abs/2106.13572
Autor:
Garres-Díaz, José, Bouchut, François, Fernández-Nieto, Enrique D., Mangeney, Anne, Narbona-Reina, Gladys
We present here a multilayer model for shallow grain-fluid mixtures with dilatancy effects. It can be seen as a generalization of the depth-averaged model presented in Bouchut et al. (2016), that includes dilatancy effects by considering a two-layer
Externí odkaz:
http://arxiv.org/abs/2001.04672
Autor:
Bouchut, François, Fernández-Nieto, Enrique D., Koné, El Hadji, Mangeney, Anne, Narbona-Reina, Gladys
Publikováno v:
In Journal of Computational Physics 15 March 2021 429
We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use the recently developed theory of Lagrangian flows associated to vector f
Externí odkaz:
http://arxiv.org/abs/1508.04330
The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive
Externí odkaz:
http://arxiv.org/abs/1412.6358
We prove quantitative estimates for flows of vector fields subject to anisotropic regularity conditions: some derivatives of some components are (singular integrals of) measures, while the remaining derivatives are (singular integrals of) integrable
Externí odkaz:
http://arxiv.org/abs/1412.2513
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic reconstruction scheme is a simple and efficient one. It involves the knowle
Externí odkaz:
http://arxiv.org/abs/1409.3825
Autor:
Bouchut, François, Boyaval, Sébastien
We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence property that
Externí odkaz:
http://arxiv.org/abs/1306.3464
Autor:
Bouchut, François, Crippa, Gianluca
Publikováno v:
Journal of Hyperbolic Differential Equations 10, 2 (2013) 235-282
We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an $L^1$ function. Such estimates allow to prove existence, uniqueness, quantitative stability and compactness
Externí odkaz:
http://arxiv.org/abs/1208.6374
Autor:
Bouchut, François, Boyaval, Sébastien
Publikováno v:
Mathematical Models and Methods in Applied Sciences 23, 8 (2013) 1479-1526
We propose a new reduced model for gravity-driven free-surface flows of shallow elastic fluids. It is obtained by an asymptotic expansion of the upper-convected Maxwell model for elastic fluids. The viscosity is assumed small (of order epsilon, the a
Externí odkaz:
http://arxiv.org/abs/1110.0799