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SOME
ARTICLES
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PDE AND SEMICLASSICAL ANALYSIS
• V. Chabu, C. Fermanian-Kammerer and F. Macià. Wigner measures and effective mass theorems (2018).
Preprint.
• V. Chabu, C. Fermanian-Kammerer and F. Macià. Semiclassical analysis of dispersion phenomena (2017).
Preprint.
• F. Macià and G. Rivière. Two-microlocal regularity of quasimodes on the torus (2017).
Analysis & PDE 11(8) (2018), 2111–2136.
Preprint.
• F. Macià and G. Rivière. Observability and quantum limits for the Schrödinger equation on the sphere (2017).
Preprint.
• N. Anantharaman, M.
Léautaud and F.
Macià. Wigner measures and observability for the
Schrödinger equation on the disk.
Inventiones Mathematicae 206(2) (2016), 485–599.
Preprint.
• N. Anantharaman, M.
Léautaud and F.
Macià. Delocalization of quasimodes in the disk.
Comptes Rendus Mathématique, 354(3) (2016), 256–263
Preprint.
•
F. Macià and G. Rivière. Concentration and
non-concentration for the Schrödinger evolution on Zoll manifolds.
Communications in Mathematical Physics
345(3) (2016), 1019–1054
Preprint.
•
F. Macià. High-frequency dynamics for the Schrodinger equation,
with applications to dispersion and observability.
Nonlinear Optical and Atomic Systems. Lecture Notes in Mathematics, 2146 (2015), 275–335.
• N. Anantharaman, C.
Fermanian-Kammerer and F.
Macià. Semiclassical Completely Integrable Systems : Long-Time
Dynamics And Observability Via Two-Microlocal Wigner Measures.
American Journal of Mathematics, 137(3) (2015), 577–638.
Preprint (2012-14).
• F. Macià. A semiclassical measure approach to the Aharonov-Bohm effect.
RIMS Kokyuroku, 1902 (2014), 53–60.
• N. Anantharaman and F.
Macià. Semiclassical
measures for
the Schrödinger equation on the torus.
Journal of the
European Mathematical Society, 16(6)
(2014), 1253–1288.
Preprint (2010-11).
• T. Aïssiou, D. Jakobson
and F. Macià. Uniform
estimates for the solutions of the Schrödinger equation on the
torus and regularity of semiclassical measures,
Mathematical Research Letters,19(3) (2012), 589–599.
Preprint.
• N. Anantharaman and F.
Macià. The dynamics of the Schrödinger flow from the point
of view of semiclassical measures.
Spectral Geometry,
Proceedings of Symposia in Pure Mathematics, Vol. 84, Amer. Math. Soc., Providence, RI, 2012, 93–116.
Preprint.
• F. Macià.
The Schrödinger flow in a compact
manifold: High-frequency dynamics and dispersion,
Modern Aspects of
the Theory of Partial
Differential Equations, Operator Theory: Advances and
Applications, Vol. 216, Springer,
Basel, 2011, 275–289.
Preprint.
• D. Azagra
and F. Macià. Concentration of symmetric eigenfunctions,
Nonlinear Analysis,
73(3) (2010), 683–688.
Preprint.
• F. Macià. High-frequency propagation for the
Schrödinger equation on the torus,
Journal of Functional Analysis, 258(3)
(2010), 933–955.
Preprint.
• F. Macià.
Semiclassical measures and the Schrödinger flow on Riemannian
manifolds,
Nonlinearity
22 (2009) ,
1003–1020.
Preprint.
• F. Macià.
Some remarks on quantum limits on Zoll
manifolds,
Communications
in Partial Differential Equations, 33(6) (2008),
1137–1146.
• D. Azagra, M. Jiménez-Sevilla, F.
Macià. Generalized motion
of level sets by functions of their curvatures on Riemannian manifolds,
Calculus of Variatons and
Partial Differential Equations, 33(2)
(2008), 133–167.
Preprint.
• F. Macià.
Wigner measures in the discrete setting: high-frequency
analysis of sampling and reconstruction operators,
SIAM Jounal on Mathematical
Analysis, 36(2)
(2004),
347–383.
Preprint.
• F. Macià. The
effect of group velocity in the numerical analysis of
control problems for the wave equation,
Mathematical and numerical
aspects of wave propagation WAVES 2003,
(Jyväskylä, 2003). Springer-Verlag,
Berlin, 2003, 195–200.
• G. Buttazzo, A.
Davini, I. Fragalà and F. Macià. Optimal Riemannian
distances preventing mass transfer,
Journal für die reine
und angewandte Mathematik (Crelle's Journal), 575
(2004), 157–171.
Preprint.
• F. Macià. High
frequency wave propagation in discrete media,
Homogenization 2001 (Naples),
GAKUTO International Series. Mathematical Sciences and Applications
18,
Gakkotosho, Tokyo, 2003, 263–268.
• F. Macià and E. Zuazua. On the lack of
observability for wave equations: a gaussian
beam approach,
Asymptotic Analysis
32(1) (2002),
1–26.
Preprint.
COMPUTATIONAL FLUID DYNAMICS
• A. Souto-Iglesias, F. Macià, L.M. González, and J.L. Cercós-Pita. Addendum to: "On the consistency of MPS".
Computer Physics Communications, 185(2) (2014), 595–598.
• A. Souto-Iglesias, F. Macià, L.M. González, and J.L. Cercós-Pita. On the consistency of MPS.
Computer Physics Communications, 184(3) (2013), 732–745.
• F.
Macià, L.M. González, J.L. Cercós-Pita, and A.
Souto-Iglesias. A boundary integral SPH formulation: consistency and
applications to ISPH and WCSPH.
Progress in Theoretical Physics, 128(3) (2012), 439–462.
• F. Macià, J.M. Sánchez, A.Souto-Iglesias and L.M. González, . WCSPH viscosity diffusion processes in vortex flows.
International Journal for Numerical Methods in Fluids, 69(3) (2012), 531–543.
• F.
Macià, M. Antuono, A.Colagrossi, and L.M. González.
Theoretical analysis of the no-slip boundary condition enforcement in
SPH methods.
Progress in Theoretical Physics, 125(6) (2011), 1091–1121.