publications

[A72] M. Colin, Th. Colin, J. Dambrine, Numerical simulations of wormlike micelles flows in micro-fluidic T-shaped junctions.

[A71] Th. Colin, A. Iollo, J.-B. Lagaert and O. Saut, An inverse problem for the the recovery of the vascularization of a tumor.

[A70] Th. Colin, H. Fathallah, J.-B. Lagaert, O. Saut, A Multilayer Model for GBM: Effects of Invasive Cells and Anti-Angiogenesis on Growth. Submitted.

[A68] M. Latige, G. Gallice, Th. Colin, A second order Cartesian finite volume method for elliptic interface and embedded Dirichlet problems, to appear in Computers and fluids.

[A67] T. Colin, M.-C. Durrieu, J. Joie, Y. Lei, Y. Mammeri, C. Poignard, O. Saut, Modeling of the migration of endothelial cells on bioactive micropatterned polymers, to appear in Mathematical Biosciences and engineering.

[A66] J. Bona, Th. Colin and C. Guillopé, Propagation of long-crested water-waves, Discrete and Continuous Dynamical Systems - Series A (DCDS-A), Pages: 599 - 628, Volume 33, Issue 2, February 2013.

[A65] M. Colin, Th. Colin and J. Dambrine, Validity of the Reynolds equation for miscible fluids in microchannels. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B Volume 17, Number 3, May 2012. doi:10.3934/dcdsb.2012.17.801

[A64] T. Colin, A. Iollo, D. Lombardi, O. Saut System Identification in Tumor Growth Modeling Using Semi-empirical Eigenfunctions. Math. Models Methods Appl. Sci. 22, 1250003 (2012).

[A63] A. Bourgeade, J.J. Pesqué, M. Sesques, C. Millet Th. Colin, Ondes et Mathématiques, Chocs, Numéro 39, CEA, Janvier 2011, pp. 58-66.

[A62] T. Colin, S. Tancogne, Stability of biﬂuid jets in microchannels, European journal of mechanics. B, Fluids (July-August 2011), p 409-420.

[A61] Ch.-H. Bruneau, Th. Colin, S. Tancogne, A Level-Set method for three dimensional bifluid flows evolving in square micro channels, Computational Fluid Dynamics Review 2010, Hafez, Oshima, Kwak Ed, World Scientific.

[A60] R. Belaouard, Th. Colin, G. Gallice, Couplage de l’effet Landau avec l’amplification Raman, Chocs, avancées scientifiques et techniques de la direction des applications militaires, CEA. 2009, pp. 10-11.

[A59] D. Bresch, T. Colin, E. Grenier, B. Ribba, O. Saut, Computational modeling of solid tumor growth: the avascular stage, SIAM J. SCI. COMPUT. Vol. 32, No. 4, pp. 2321–2344, 2010.

[A58] T. Colin, A. Iollo, D. Lombardi and O. Saut, Prediction of the Evolution of Thyroidal Lung Nodules Using a Mathematical Model, ERCIM News, No 82, pp. 37-38, July 2010.

[A57] Billy F., Saut O., Morre-Trouilhet H., Colin T., Bresch D., Ribba B., Grenier E. Modèle mathématique multi-échelle de l'angiogenèse tumorale et application à l'analyse de l'efficacité de traitements anti-angiogéniques. Bull Cancer, mars 2008 ; vol.95, numéro spécial : 65.

[A56] M. Colin and Th. Colin, A multi-D model for Raman instability, ESAIM: M2AN 45 (2011) 1–22.

[A55] D. Bresch, Ch. Choquet, L. Chupin, Th. Colin, M. Gisclon, Roughness-Induced Effect at Main order on the Reynolds Approximation, Multiscale Model. Simul. Volume 8, Issue 3, pp. 997-1017 (2010).

[A54] F. Billy, B. Ribba, O. Saut, H. Morre-Trouilhet, Th. Colin, D. Bresch, J.-P. Boissel, E. Grenier, J.-P. Flandrois, A pharmacologically-based multiscale mathematical model of angiogenesis, and its use in analysing the efficacy of a new anti-cancer treatment strategy. Journal of Theoretical Biology, vol. 260, Issue 4, 21 October 2009, Pages 545-562.

[A53] D. Bresch, T. Colin, E. Grenier, B. Ribba, O. Saut A viscoelastic model for avascular tumor growth, DCDS Supplements, 101-108, Volume 2009, Issue : Special, september 2009.

[A52] Claude Coulon, Hitoshi Miyasaka, Wolfgang Wernsdorfer, Thierry Colin, and Rodolphe Clérac, Realization of a Magnet Using an Antiferromagnetic Phase of Single Chain Magnets. Phys. Rev. Lett. 102, 167204 (2009).

[A51] M. Colin, Th. Colin, M. Ohta Instability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction, Funkcialaj Ekvacioj 52 no.3 (2009), 371-380.

nonlinear Schrödinger equations with three wave interaction, Annales de l’Institut Henri Poincaré - Analyse non linéaire, vol. 26, Issue 6, November-December 2009, Pages 2211-2226.

[A49] R. Belaouar, T. Colin, G. Gallice Numerical coupling of Landau damping and Raman amplification, Journal of Computational Physics 228 (2009) 387–405.

[A48] T. Colin, G. Ebrard, G. Gallice, Semidiscretization in time for Nonlinear Zakharov Waves Equations, DCDS-B, volume: 11, Number: 2, March 2009, 263-282.

[A47] T. Colin, G. Ebrard, G. Gallice, Interaction of several laser beams with a plasma, Mathematical Models and Methods in Applied Sciences Vol. 19, No. 3 (2009) 369–385.

[A46] C-H Bruneau, T. Colin, S. Tancogne, Simulation of the break-up of a diphasic jet in a microchannel, ESAIM Proc., vol25, p.80-90, 2008.

[A45] S. Bénito, Ch.-H. Bruneau, Th. Colin, C. Gay, F. Molino, An elasto-visco-plastic model for immortal foams or emulsions, The European Physical Journal E - Soft Matter, Volume 25, Number 3, mars 2008.

[A44] Guillot, P., Joanicot, M., Colin, A., Bruneau, C.-H., and Colin, T., Rheological measurements on a microfluidic device, International Journal of Heat and Technology, vol. 26, no. 1, pp. 147-152, 2008.

[A43] P. Guillot, T. Moulin, R. Kötizt, M. Guirardel, A. Dodge, M. Joanicot, A. Colin, Ch.-H. Bruneau et T. Colin Towards a continuous microfluidic rheometer, Microfluidics and nanofluidics, Volume 5, Number 5, November 2008 , pp. 619-630(12).

[A42] C. Coulon, R. Clérac, W. Wernsdorfer,T. Colin, A. Saitoh, N. Motokawa, H. Miyasaka Effect of an applied magnetic ﬁeld on the relaxation time of single-chain magnets, Physical review B. Condensed matter and materials physics, 2007, vol. 76, no21.

[A41] R. Balaouard, V. Tikhonchuk, T. Colin, G. Gallice Quasilinear electron acceleration in a driven plasma wave, Plasma Phys. Control. Fusion 49 (2007) 969–984.

[A40] D. Bresch, Th. Colin, E. Grenier, B. Ribba, O. Saut, O. Singh and C. Verdier, Quelques méthodes de paramètre d'ordre avec applications à la modélisation de processus cancéreux, ESAIM:proc, vol. 18, 2007.

[A39] R. Belaouard, T. Colin, G. Gallice, C. Galusinski, Theorical and numerical study of a quasilinear Zakharov system describing Landau damping. M2AN vol. 40, No6, 961-986 (2007).

[A38] Pierre Guillot, Pascal Panizza, Jean-Baptiste Salmon, Mathieu Joanicot, Annie Colin, Charles-Henri Bruneau and Thierry Colin, Viscosimeter on a Microfluidic Chip, Langmuir 2006, 22, 6438-6445.

[A37] B. Ribba, O. Saut, T. Colin, D. Bresch, E. Grenier, J.P. Boissel, A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents, Journal of Theoretical Biology 243 (2006) 532–541.

[A36] B. Ribba, Th. Colin, S. Schnell, A multiscale mathematical model of cancer growth and radiotherapy efficacy: The role of cell cycle regulation in response to irradiation, Theoretical Biology and Medical Modelling 2006, 3:7 (10 Feb 2006).

[A35] P. Guillot, A. Colin, S. Quiniou, G. Cristobal, M. Joanicot, C.-H. Bruneau et T. Colin, Un rhéomètre sur puce microfluidique, La Houille Blanche, No3 2006.

[A34] M. Colin and T. Colin, A numerical model for the Raman Amplification for laser-plasma interaction. Journal of Computational and Applied Math. 193 (2006), no. 2, 535--562.

[A33] P. Guillot; A. Colin; P. Panizza ; S. Rousseau; Ch. Masselon; M. Joanicot; Ch.-H. Bruneau; Th. Colin A rheometer on a chip Spectra-analyse. 2005; 34 (247) : 50-53.

[A28] M. Colin and T. Colin, On a quasilinear Zakharov system describing laser-plasma interactions, Differential Integral Equations 17 (2004), no. 3-4, 297-330.

[A26] T. Colin, B. Nkonga, Numerical model for light interaction with two level atoms medium. Phys. D 188 (2004), no. 1-2, 92-118.

[A25] T. Colin and D. Lannes, Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems, Discret and continuous dynamical systems, 11 (2004), no.1, 83-100.

[A24] T. Colin, Modèles stratifiés en mécanique des fluides géophysiques, Annales Mathématiques Blaise Pascal, volume 9, 229--243, (2002).

[A23] T. Colin, Rigorous derivation of the nonlinear Schrödinger equation and Davey-Stewartson systems from quadratic hyperbolic systems Asymptotic Analysis 31(1) 2002, pp. 69-91.

[A22] T. Colin, C. Galusinski, H.G. Kaper, Long waves in micromagnetism, Communications in PDE, 27 (2002), no. 7-8, 1625--1658, 3.

[A21] T. Colin et J.-M. Ghidaglia, An initial-boundary-value problem for the Korteweg-de Vries equation posed on a finite interval, Advances in Differential Equations 6 (2001), no 12, 1463-1492.

[A20] D. Bresch et T. Colin, Some remarks on the derivation of the sverdrup relation, J. math.fluid mech. 4 (2002) 95-108.

[A19] T. Colin et D. Lannes, Long wave-short wave resonnance in nonlinear geometric optics, Duke Math. J. vol. 107, N0 2, 351-419, 2001.

[A18] T. Colin et W. Ben Youssef, Rigorous derivation of Korteweg-de Vries type systems from a general class of nonlinear hyperbolic systems, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 34, No 4, 2000, pp.873-911.

[A17] A.-S. Wunnenburger, A. Colin, T. Colin, D. Roux, Undulation instability under shear: a model to explain the different orientations of a lamellar phase under shear? Eur. Phys. J. E 2 (2000) 3, 277-283.

[A16] T. Colin et P. Fabrie, A free boundary problem modeling a foam drainage. Mathematical Models and Methods in Applied Sciences, Vol. 10, No 6 (2000) 945-961.

[A15] T. Colin et M. Gisclon, An initial-boundary-value problem that approximate the quarter-plane problem for the Korteweg-de Vries equation. Nonlinear Analysis TMA, vol. 46, No 6, Novembre 2001, 869-892.

[A14] T. Colin et P. Fabrie, Semidiscretization in time for Schrödinger-waves equations, Discret and continuous dynamical systems, vol4, No 4, 671-690, (1998).

[A13] T. Colin et P. Fabrie, Rotating fluid at high Rossby number driven by a surface stress: existence and convergence, Advances in Differential Equations, vol. 2, 5, septembre 1997.

[A12] T.Colin, The Cauchy problem and the continuous limit for the multilayer model in geophysical fluid dynamics., SIAM Journ. for Math. Analysis vol. 28, 3, 516-529, mai 1997.

[A11] T.Colin and A.Soyeur, Some singular limits for evolutionary Ginzburg-Landau equations, Asymptotic Analysis, vol. 13, 361-372, 1996.

[A10] T.Colin et M.I.Weinstein, On the ground states of vector nonlinear Schrödinger equations, Annales de l'Institut Henri Poincaré, Physique Théorique, vol. 65, 1, 57-79, 1996.

[A9] T.Colin, Remarks on an homogeneous model of ocean circulation, Asymptotic Analysis, 12 153-168, 1996.

[A8] L. Bergé, B. Bidégaray et T. Colin, A perturbative analysis of the time envelope approximation in strong Langmuir turbulence, Physica D vol. 95, 3-4, 351-379, 1996.

[A7] T.Colin, J.M.Ghidaglia et F.Dias, On rotational effects in weakly nonlinear water waves over finité depth, European Journal of Mechanics, fluids, 14, No 6, 775-794, 1995.

[A6] L. Bergé et T. Colin, A singular perturbation problem for an enveloppe équation in plasma Physics, Physica D 84, 437-459, 1995.

[A2] T. Colin, On the Cauchy problem for a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics, Differential and Integral Equations, vol 6, Number 6, pp. 1431-1450, November 1993.

[A1] I. L. Chern, T. Colin and H. G. Kaper, Classical solutions to the non-divergent barotropic equations on the sphere, Communications in PDE's, 17, (5 and 6), pp. 1001-1019, 1992.

Notes:

[N6] R. Abgrall, T. Colin, B. Nkonga, Etude du système de Schrödinger-Bloch modèlisant la propagation d'un laser dans un gaz. Notes aux Compte-rendus de l'Acad. des Sciences, t. 333, Série I, 689-692, 2001.

[N5] T. Colin et J.-M. Ghidaglia, Un problème mixte pour l'équation de Korteweg-de Vries sur un intervalle borné, Notes aux Compte-rendus de l'Acad. des Sciences, t. 324, Série I, 599-603, 1997.

[N4] T. Colin et P. Fabrie, Equations de Navier-Stokes 3-D avec force de Coriolis et viscosité verticale évanescente, Notes aux Compte-rendus de l'Acad. des Sciences, t. 324, Série I, 275-280, 1997.

[N3] L. Bergé et T. Colin, Un problème de perturbation singulière pour une équation d'enveloppe en physique des plasmas, Notes aux Comptes Rendus de l'Académie des Sciences, t320, Série 1, p31-34, 1995.

[N2] T. Colin, Effets régularisant pour des équations dispersives obtenus par une transformée de Wigner généralisée, C. R. Acad. Sci. Paris, t. 317, Série I, No 7, pp. 673-676, 1993.

[N1] T. Colin, Sur une équation de Schrödinger non linéaire et non locale, C. R. Acad. Sci. Paris, t. 314, Série I, No 6, pp. 449-452, 1992.

[P15] M.Garbey, B.Bass, S.Berceli, C.Collet and P.Cerveri, Computational Surgery and Dual Training: Computing, Robotic and Imaging for the Surgery Platform, Springer Verlag, 2012, to appear.

[P14] Ch.-H. Bruneau, Th. Colin, S. Tancogne, Numerical simulations of three dimensional micro flows, proceedings ICCFD5, Seoul, 2008.

[P13] S. Tancogne, C.-H. Bruneau, Th. Colin, A. Colin, P. Guillot, M. Joanicot, Some computational problems in microfluidics, proceeding of the NIMS international workshop on fluid dynamics, june 2007.

[P12] A. Colin, P. Guillot, C.-H. Bruneau, Th. Colin, S. Tancogne, Stabilité d’écoulements bifluides dans un microcanal, proceeding du congrès français de mécanique 2007.

[P11] C.-H. Bruneau, T. Colin, C. Galusinski, S. Tancogne and P. Vigneaux, Simulations of 3D dynamics of microdroplets : a comparison of rectangular and cylindrical channels, Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007. Springer, Heidelberg, September 2008.

[P10] T. Colin, G. Métivier, Instabilities in Zakharov equations for laser propagation in a plasma, in Phase space analysis of PDEs, A. Bove, F. Colombini, D. Del Santo Ed., Progress in Nonlinear Differential equations and their Applications 69, Birkhäuser, 2006.

[P9] R. Belaouard, T. Colin, G. Gallice, C. Galusinski, V. Tikhonchuk, Quasilinear electron accélération in a driven plasma wave 31st EPS Conference on Plasma Phys. London, 28 June - 2 July 2004 ECA Vol.28G, P-5.047 (2004).

[P8] M. Colin and T. Colin, Cauchy problem and numerical simulation for a quasi-linear Zakharov system describing laser-plasma interaction. Proceedings of the conference on nonlinear analysis, 2004, Orlando, Nonlinear Analysis 63 (2005) e1679-e1686.

[P7] R. Belaouard, T. Colin, G. Gallice, C. Gallusinski Le problème de Cauchy pour un système modèlisant l'amortissement Landau en physique des plasmas, séminaire X-EDP 2004.

[P6] J. Bona, T. Colin, D. Lannes, Long wave approximations for water waves. Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June - 4 July 2003. Berlin: Springer. 489-494 (2003).

[P5] W. Ben Youssef and T. Colin, Rigorous derivation of the Korteweg-de Vries type systems from a general class of nonlinear hyperbolic systems, proceedings of the fifth international conference on Mathematical and numerical aspects of wave propagation, St Jacques de Compostel, juillet 2000, SIAM Proceedings.

[P4] T. Colin et B. Nkonga, Computing oscillatory waves of nonlinear hyperbolic systems using a phase-amplitude approach, proceedings of the fifth international conference on Mathematical and numerical aspects of wave propagation, St Jacques de Compostel, juillet 2000, SIAM Proceedings.

[P3] T. Colin et J.-M. Ghidaglia, Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné, actes des journées "Equations aux dérivées partielles" Saint-Jean de Monts, exposé No III, 1997.

[P2] T. Colin, J.M. Ghidaglia et F. Dias, On modulation of weakly nonlinear water waves, Contempory Mathematics, AMS, vol. 200, 47-56, 1996.

[P1] T. Colin, On a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics, Nonlinear evolution equations and dynamical systems, NEED's 92, Edited by V. Makhankov, I. Puzynin and O. Pashaev, World Scientific, 1993.