Bibliography
Publications of the year
Doctoral Dissertations and Habilitation Theses
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1N. Ayi.
Stochastic influence on change of scale problems, Université Nice Sophia Antipolis [UNS], September 2016.
https://tel.archives-ouvertes.fr/tel-01407438 -
2B. POLIZZI.
Modeling and numerical simulations for fluid mechanics systems with constraints; application to biology and road traffic, Université Nice Sophia Antipolis, September 2016.
https://hal.archives-ouvertes.fr/tel-01421823 -
3A. Vavasseur.
Kinetic models for particles interacting with their environment, Universite Cote d'Azur, October 2016.
https://hal.archives-ouvertes.fr/tel-01421822
Articles in International Peer-Reviewed Journals
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4F. Berthelin, D. Chiron, M. Ribot.
Stationary solutions with vacuum for a one-dimensional chemotaxis model with non-linear pressure, in: Communications in Mathematical Sciences, 2016, vol. 14, no 1, pp. 147–186.
https://hal.archives-ouvertes.fr/hal-01070625 -
5C. Bourdarias, M. Gisclon, S. Junca, Y.-J. Peng.
Eulerian and Lagrangian formulations in BV s for gas-solid chromatography, in: Communications in Mathematical Sciences, August 2016, vol. 14, no 6, pp. 1665 – 1685. [ DOI : 10.4310/CMS.2016.v14.n6.a10 ]
https://hal.archives-ouvertes.fr/hal-01258286 -
6K. Brenner, J. Hennicker, R. Masson, P. Samier.
Gradient discretization of hybrid-dimensional Darcy flow in fractured porous media with discontinuous pressures at matrix-fracture interfaces, in: IMA Journal of Numerical Analysis, September 2016. [ DOI : 10.1093/imanum/drw044 ]
https://hal.archives-ouvertes.fr/hal-01192740 -
7F. Clarelli, C. Di Russo, R. Natalini, M. Ribot.
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity, in: Mathematical Medicine and Biology, 2016.
https://hal.archives-ouvertes.fr/hal-01070624 -
8S. De Bièvre, A. Vavasseur, T. Goudon.
Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov–Poisson system, in: SIAM Journal on Mathematical Analysis, 2016, vol. 48, no 6, pp. 3984–4020.
https://hal.archives-ouvertes.fr/hal-01286519 -
9T. Goudon, R. J. Alonso, P. Amorim.
Analysis of a chemotaxis system modeling ant foraging, in: Math. Mod. Meth. Appl. Sci. (M3AS), 2016, vol. 26, no 9, pp. 1785–1824.
https://hal.archives-ouvertes.fr/hal-01421688 -
10T. Goudon, R. J. Alonso, A. Vavasseur.
Damping of particles interacting with a vibrating medium, in: Annales de l'I.H.P. - Nonlinear Analysis, 2016.
https://hal.archives-ouvertes.fr/hal-01421710 -
11T. Goudon, K. Aoki, S. Kosuge, T. Fujiwara.
Unsteady motion of a slightly rarefied gas caused by a plateoscillating in its normal direction, in: Physical Review Fluids, 2016.
https://hal.archives-ouvertes.fr/hal-01421732 -
12T. Goudon, A. Bernard-Champmartin, C. Fochesato, B. Jean-Francois.
A Semi-Lagrangian approach for dilute non-collisional fluid-particle flows, in: Communications in Computational Physics, 2016, vol. 19, no 3, pp. 801-840.
https://hal.inria.fr/hal-01270343 -
13T. Goudon, V. Bonnaillie-Noël, J. A. Carrillo, P. Greg.
Efficient numerical calculation of drift and diffusion coefficients for the diffusion approximation of kinetic equations, in: IMA Journal of Numerical Analysis, 2016.
https://hal.inria.fr/hal-01270345 -
14T. Goudon, V. Bonnaillie-Noël, J. A. Carrillo, G. Pavliotis.
Efficient numerical calculation of drift and diffusioncoefficients in the diffusion approximation of kineticequations, in: IMA Journal of Numerical Analysis, 2016.
https://hal.inria.fr/hal-01150161 -
15T. Goudon, S. Minjeaud, F. Berthelin.
Multifluid flows: a kinetic approach, in: Journal of Scientific Computing, 2016, vol. 66, no 2, pp. 792–824.
https://hal.inria.fr/hal-01270341 -
16T. Goudon, M. RIBOT, B. POLIZZI, S. Labarthe, B. Laroche, T. El Bouti, R. Tesson, A. Rachah.
A mixture model for the dynamic of the gut mucus layer, in: ESAIM: Proceedings and Surveys, 2016.
https://hal.archives-ouvertes.fr/hal-01421708 -
17T. Goudon, L. Urrutia.
Analysis of kinetic and macroscopic models of pursuit–evasion dynamics, in: Communications in Mathematical Sciences, 2016, vol. 14, no 8, pp. 2253–2286.
https://hal.inria.fr/hal-01270351 -
18T. Goudon, A. F. Vasseur.
On a model for mixture flows: Derivation, dissipation and stability properties, in: Archive for Rational Mechanics and Analysis, 2016, vol. 220, no 1, pp. 1-35.
https://hal.inria.fr/hal-01270344 -
19T. Goudon, A. Vavasseur.
Mean field limit for particles interacting with a vibratingmedium, in: Annali dell'Universita di Ferrara, 2016, vol. 62, no 2, pp. 231-273.
https://hal.archives-ouvertes.fr/hal-01421703 -
20R. Masson, L. Trenty, Y. Zhang.
Coupling compositional gas liquid Darcy and free gas flows at porous and free flow domains interface, in: Journal of Computational Physics, June 2016. [ DOI : 10.1016/j.jcp.2016.06.003 ]
https://hal.archives-ouvertes.fr/hal-01238530 -
21F. Xing, R. Masson, S. Lopez.
Parallel Vertex Approximate Gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks, in: Computational Geosciences, December 2016. [ DOI : 10.1007/s10596-016-9606-z ]
https://hal.archives-ouvertes.fr/hal-01272498
Conferences without Proceedings
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22L. Beaude, K. Brenner, S. Lopez, R. Masson, F. Smai.
Simulation d'écoulements compositionnels thermiques. Applications à la géothermie haute énergie, in: 13èmes Journéess d'études des Milieux Poreux 2016, Anglet, France, October 2016.
https://hal.archives-ouvertes.fr/hal-01394578 -
23K. Brenner, J. Hennicker, R. Masson, P. Samier.
Hybrid dimensional two phase flow in fractured porous media, in: 13èmes Journéess d'études des Milieux Poreux 2016, Anglet, France, October 2016.
https://hal.archives-ouvertes.fr/hal-01394589 -
24S. Junca, B. Lombard.
Interactions between ultrasonic waves and nonlinear cracks with finite compressibility, in: Journées d’Analyse Appliquée Nice-Toulon-Marseille, Porquerolles, France, May 2016.
https://hal.archives-ouvertes.fr/hal-01310479
Scientific Books (or Scientific Book chapters)
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25T. Goudon.
Mathematics for Modeling and Scientific Computing, Wiley-ISTE, 2016, 472 p.
https://hal.inria.fr/hal-01377721 -
26T. Goudon.
Mathematiques pour la modelisation et le calcul scientifique, ISTE, 2016.
https://hal.inria.fr/hal-01286454
Other Publications
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27N. Ayi, T. Goudon.
Regularity of velocity averages for transport equations on random discrete velocity grids, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01407411 -
28J. Barre, D. Crisan, T. Goudon.
Two-dimensional pseudo-gravity model, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01379951 -
29F. Berthelin.
Theoretical study of a multi-dimensional pressureless model with unilateral constraint, May 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01313258 -
30F. Berthelin, T. Goudon, B. Polizzi, M. Ribot.
Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01413613 -
31C. Besse, F. Xing.
Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates, March 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01285359 -
32K. Brenner, C. Cancès.
Improving Newton's method performance by parametrization: the case of Richards equation, 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01342386 -
33K. Brenner, M. Groza, L. Jeannin, R. Masson, J. Pellerin.
Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media, June 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01338512 -
34K. Brenner, J. Hennicker, R. Masson, P. Samier.
Hybrid Dimensional Darcy Flow in Fractured Porous Media with discontinuous pressures at the matrix fracture interfaces, October 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01383877 -
35C. Calgaro, E. Creusé, T. Goudon, S. Krell.
Simulations of non homogeneous viscous flows with incompressibility constraints, 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01246070 -
36P. Castelli, P.-E. Jabin, S. Junca.
Fractional spaces and conservation laws, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01407099 -
37P. Castelli, S. Junca.
On the maximal smoothing effect for multidimensional scalar conservation laws , February 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01290871 -
38D. A. A. Di Pietro, S. Krell.
A Hybrid High-Order method for the steady incompressible Navier–Stokes problem, July 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01349519 -
39J. Droniou, J. Hennicker, R. Masson.
Numerical analysis of a two-phase flow discrete fracture model, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01422477 -
40H. Le Thi, S. Junca, M. Legrand.
Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases, April 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01305719 -
41B. POLIZZI, O. BERNARD, M. RIBOT.
A time-space model for the growth of micro-algae biofilms for biofuel production, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01408045 -
42F. Xing, R. Masson, S. Lopez.
Parallel numerical modeling of hybrid-dimensional compositional non-isothermal Darcy flows in fractured porous media, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01420361 -
43F. Xing.
New optimized Schwarz algorithms for one dimensional Schrödinger equation with general potential, February 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01280675