Publications  


 

 

O. Goubet, W. Kechiche, Uniform Attractor for  Non-Autonomous Nonlinear Schrödinger Equation, accepté à Comm. Pure and Applied Analysis

O. Goubet, G. Warnault, decay of solutions to a linear viscous asymptotic model for water waves, accepté à Chinese Annals of Maths. série B.

O. Goubet, L. Legry, Finite dimensional global attractor for a parametric non linear Schrodinger system with a trapping potential, Nonlinear Analysis, Theory Methods and Applications, vol 72, n 12, pp 4397-4406, 2010.

M. Chen, S. Dumont, L. Dupaigne, O. Goubet, Decay of solutions to a water wave model with a nonlocal viscous dispersive term, Discrete and Continuous Dynamical Systems Série A, vol 27, n 4, pp 1473-1492, 2010.

G. Decocq, F. Paccaut, E. Sebert-Cuvillier, O. Goubet, V. Simon et M. Simonet, PRUNUS: a spatially explicit demographic model to study 3 plant invasions in stochastic, heterogeneous environments, Biological Invasions, DOI 10.1007/s10530-009-9539-8, publié en ligne le 4 septembre 2009.

O. Goubet et M. Hussein, Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrodinger equation, Analele Stiintifice ale Universitatii Ovidius Constanta, vol 17(2), 71-82, 2009.

E. Ezzoug, O. Goubet et E. Zahrouni,   Semi-discrete weakly damped nonlinear 2D Schrodinger equations,  Diff. and Integral Equations, vol 23, n 3-4, pp 237-252, 2010.

I. Damergi et O. Goubet, Blow up solutions to the nonlinear Schrodinger equation with oscillating nonlinearities, Journal of Mathematical Analysis and Applications, 352  (2009),  no. 1, 336--344.

J. Davila, L. Dupaigne,O. Goubet et S.Martinez, boundary blow-up solutions of cooperative systems,  Annales de l'IHP, AN 26, pp 1767-1791, (2009).

M. Chen et O. Goubet, Long time asymptotic behavior of two-dimensional Boussinesq system, Discrete and Continuous Dynamical Systems, vol 2, number 1, pp 37-53 (2009)


O. Goubet et L. Molinet, Global attractor for weakly damped nonlinear Schrodinger equations in L2(R), Nonlinear Analysis, Theory, Methods and Applications, vol 71, pp 317-320, (2009).

O. Goubet et M. Hussein, Global attractor for the Davey-Stewartson system on $R^2$,Commun. Pure Appl. Analysis, vol 8, n 5, (2009).

E. Sebert-Cuvillier, V. Simon, F. Paccaut, O. Chabrerie, O. Goubet et G. Decocq, Spatial spread of an alien tree species in an heterogeneous forest landscape: a spatially realistic simulation model, to appear in Landscape Ecology.

O. Goubet et E. Zahrouni, On a time discretization of a weakly damped nonlinear Schrodinger equation, Commun. Pure Appl. Anal.  7  (2008),  no. 6, 1429--1442.

Discrete Schrödinger equations ansd dissipative dynamical systems, with M. Abounouh,
H. Al Moatassime, JP. Chehab and S. Dumont, accepté à Comm. in Pure and Applied Analysis.

A stochastic matrix model to understand the local population dynamics of an alien tree species with
a complex life-history cycle, with E. Sebert-Cuvillier, F. Paccaut, O. Chabrerie, P. Engels et G. Decocq, Ecological 
Modelling, 201, pp 127-143, 2007.

Large time behavior of solutions to a dissipative Boussinesq System, with M. Abounouh and A. Atlas,  accepté à
Adv. in Diff. Eq.

Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces, accepté à Monatshefte fur Mathematik.

Back to the Keller-Osserman condition for boundary blow-up solutions, with S. Dumont, L. Dupaigne and V. Radulescu, 
accepté à Advances in Nonlinear Studies

On  the dual Petrov-Galerkin formulation of the  KdV equation in a finite interval, with J. Shen, 
Advances in Differential equations, vol 12, 2, pp 221-239, 2007.
 

Long-Time Asymptotic Behavior of Dissipative Boussinesq System, with M. Chen, accepté à
Discrete and Continuous Dynamical Systems.

Mesh-free methods and boundary conditions, with S. Dumont, T. Ha-Duong et P. Villon,
 International Journal for Numerical Methods  in Engineering, n 7, pp 989-1011, 2006.

Dynamical Systems in Mathematical Physics: an illustration from waterwaves, Encyclopedia of Mathematical Physics,eds. J.-P. Françoise, G.L. Naber and Tsou S.T.  Oxford: Elsevier, 2006,vol 2, 133-139, 2006

Ondes hydrodynamiques amorties, Annals Univ. Craoiva, Ser. Math and Comp. Sciences, vol 32,
pp 16-25, 2005.

Regularity of the attractor for KP1-Burgers equation: the periodic case, with M. Abounouh, Comm.
on Pure and Applied analysis, vol 3, n 2, pp 237-252, 2004.

Regularity of the attractor  for a coupled Klein-Gordon-Schrodinger system, with M. Abounouh et A. Hakim,
Differential and Integral Equations, 16  no. 5, 573--581, 2003

Asymptotic smoothing and the global attractor for a weakly damped kdv equation on the real line, with R. Rosa,
Journal of Differential Equations, vol 165, 1, pp 25-53, 2002.

Asymptotic smoothing effect for a weakly damped forced Korteweg-de Vries equations,
Discrete and Continuous Dynamical Systems, vol 6, 3, pp 625-644, 2000.

Asymptotic smoothing effect for a weakly damped  nonlinear Schr\odinger equation on  the two-dimensional torus,
 Journal of Differential Equations, vol 161, 1, pp 96-122, 2000

Attractor for a weakly damped nonlinear Schr\odinger equation on a two-dimensional thin domain, with M. Abounouh
 Differential and Integral Eq., vol 1-3, 311-340, 2000.

Displacement problem for time discretization and evolution equation related to minimal surfaces and plasticity:
existence, uniqueness and regularity , with  T.Astruc and F. Demengel
Differential and Integral Eq.,  n 5, pp661-690, 1999.

Regularity of the attractor for a weakly damped nonlinear Schr\"odinger equation in IR^2
Advances in Differential Equations, vol 3, 337-360, 1998.

Attractor for dissipative Zakharov system, with I. Moise
Nonlinear Analysis: Theory , Methods and Applications,  vol 31, n 7,  pp 823-847,  1998.

Approximate inertial manifolds for a weakly damped nonlinear \par Schr\"odinger equation,
Discrete and Continuous Dynamical Systems, vol 3, n 4, 503-530, 1997.

Regularity of the attractor for a weakly damped nonlinear Schr\"odinger equation,
Applicable Analysis, vol 60, 99-119, 1996.

Behavior of the small finite element structures for Navier-Stokes equations,
Math. Model. and Methods in Applied Sciences, vol 6, 1,  1-32, 1996.

A relation between the pressure gradient and the flux for general channel flow problems,
Applied Math and Optimization, vol 34, 361-365,  1996.

Study of the Uzawa operator for the channel flow problem,
Applicable Analysis, vol 55, 235-258, 1994.

Finite element multilevel approximation of a function and applications,
Numer. Funct. Analysis and  Appli.,  vol 15,  pp 279-299, 1994.

Separation of the variables into the Stokes problem. Applications to its finite element multilevel approximation,
Model. Math. et Anal. Num.,  vol 28, n 3, pp 243-266, 1994.

Nonlinear Galerkin methods using almost-orthogonal finite element bases,
Nonlinear Analysis: Theory , Methods and Applications,  vol 20, n 3, pp 223-247, 1993.

Construction of approximate inertial manifolds using wavelets,
SIAM J. Math. Analysis, vol 23, n 6, pp 1455-1481, 1992.

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