Liste de Publications de Mathieu Colin.
[1]
M. Colin,
"On the local well-posedness of quasilinear
Schrödinger equations in arbitrary space dimension".
Comm. Par. Diff. Eqs., vol. 27 (1&2), (2002), 325-354
[2] M. Colin,
"Stability of stationary waves for a quasilinear Schrödinger equation in dimension 2"
.
Adv. in Diff. Eqs., vol. 8(1), (2003), 1-28 .
[3]
M. Colin,
"Approximation of a nonlinear Schrödinger equation by a Klein-Gordon
equation".
Asymptotic Analysis, vol. 34(3,4), (2003), 275-309
[4]
M. Colin and L. Jeanjean,
"Solutions for a quasilinear Schrödinger equation : a dual approach".
Nonlinear Analysis, vol. 56(2), (2004), 213-226.
[5] M. Colin and T. Colin, "On a quasilinear Zakharov system describing interactions laser-plasma".
Diff. and Int. Eqs., vol. 17(3&4), (2004), 297-330
[6] M. Colin and T. Colin, "A numerical model for the Raman
amplification for laser-plasma interaction". J. Comput. App. Math., vol. 193(2), (2006), 535-562.
[7] M. Colin and M. Ohta, "Stability of solitary waves for
derivative nonlinear Schrödinger equation". Ann. IHP. Analyse Non Lineaire, vol. 23, (2006),
.
[8] M. Colin, T. Colin et G. Métivier, "Nonlinear models
for laser-plasma interaction", Séminaire X-EDP 2006-2007.
[9] M. Colin et D. lannes, "Short pulses approximation in
dispersive media", SIAM Journal on Mathematical Analysis,
vol.41(2), (2009), 708-732.
[10] M. Colin, T. Colin et M. Ohta, "Stability of solitary
waves for a system of nonlinear Schrodinger equations with three wave
interaction", Ann. IHP, Analyse Non lineaire, vol. 26,
(2009), 2211-2226.
[11] M. Colin, T. Colin et M. Ohta, "Instability of standing
waves for a system of nonlinear Schrodinger equations with three wave
interaction" Funkcialaj Ekvacioj, vol. 52, (2009), 371-380.
[12] M. Colin et
P. Fabrie, Optimal control for Navier-Stokes
equations, Adv. Diff. Eqs. vol. 15, (2010), 829-852.
[13] M. Colin, L. Jeanjean et M. Squassina, "Stability and
instability results for standing waves of quasi-linear Schrodinger equations"
Nonlinearity, vol. 23(6), (2010),1353-1385.
[14] M. Colin et T. Colin, "A multi-D model for Raman amplification"
M2AN, vol. 1, (2011), 1-22.
[15] M. Colin, T. Colin et J. Dambrine, "Validity of the Reynolds
equation for miscible fluids in microchanneles" .pdf
a paraitre dans DCDS-B
[16] M. Colin and M. Ohta, "Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations" .pdf
a paraitre dans SIAM Journal on Math. anal.
[17] M. Colin et T. Colin, "Cauchy problem and numerical
simulation for a quasilinear Zakharov system describing laser plasma
interactions" Proceedings of the conference on nonlinear
analysis, Orlando, Nonlinear Analysis, 63 (2005), e1679-e1686.
[18] M. Colin, T. Colin et J. Dambrine, "Numerical simulation of wormlike micelles flows in micro-fluidic T-shaped junctions
"
soumis
[1]
"Etude mathématique d'équations de Schrödinger
quasilinéaires intervenant en physique des plasmas".
Mathieu COLIN,
phD Thesis.
[a]
"Etude d'un schéma Volume-Fini Boite".
Mathieu COLIN,
Mémoire de DEA sous la direction de J.P. Croisille.
[b]
"Les séries de Dirichlet".
Mathieu COLIN,
Mémoire de Magistère sous la direction de P. Boyer.