List of Publication

[1] H. Bessaih, E. Hausenblas and P. A. Razafimandimby. Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type. NoDEA Nonlinear Differential Equations Appl. 22(6):1661–1697, 2015.

[2] P. A. Razafimandimby and M. Sango. Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations. Z. Angew. Math. Phys. 66(5): 2197–2235, 2015.

[3] P. A. Razafimandimby. Some qualitative properties of the solutions of the Magnetohydrodynamic equations for nonlinear bipolar fluids. Acta Applicandae Mathematicae. 138(1): 213-240, 2015.

[4] E. Hausenblas and P. A. Razafimandimby. Controllability and Qualitative properties of the solutions to SPDEs driven by boundary Lévy noise. Stochastic Partial Differential Equations: Analysis and Computations. 3(2):221–271, 2015.

[5] J. K. Djoko and P. A. Razafimandimby. Analysis of the Brinkman-Forchheimer equations with slip boundary conditions. Applicable Analysis: An International

Journal 93(7): 1477–1494, 2014.

[6] P. A. Razafimandimby and J. L. Woukeng. Homogenization of nonlinear stochastic partial differential equations in a general ergodic environment. Stochastic Analysis and Applications. 31(5):755–784, 2013.

[7] E. Hausenblas, P. A. Razafimandimby and M. Sango. Martingale solution to differential type fluids of grade two driven by random force of Lévy type. Potential Analysis. 38(4):1291–1331, 2013.

[8] P. A. Razafimandimby and M. Sango. On the exponential behaviour of stochastic evolution equations for Non-Newtonian fluids. Applicable Analysis: An International Journal. 91(2):2217–2233, 2012.

[9] P. A. Razafimandimby and M. Sango. Convergence of a sequence of solutions of the stochastic two-dimentional equations of second grade fluids. Asymptotic Analysis. 79:251–272, 2012

[10] P. A. Razafimandimby. Trajectory attractor for a non-autonomous Magnetohydrodynamic equations of Non-Newtonian Fluids. Dynamics of Partial Differential Equations. 9(3): 177–203, 2012.

[11] P. A. Razafimandimby, M. Sango and J. L. Woukeng. Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework. Journal of Mathematical Analysis and Applications 394(1):186–212, 2012.

[12] G. Deugoue, P. A. Razafimandimby and M. Sango. On the 3-D stochastic magneto-hydrodynamic-α model. Stochastic Processes and their Applications. 122(5):2211–2248, 2012.

[13] P. A. Razafimandimby and M. Sango. Strong solution for a stochastic model of two-dimensional second grade fluids: Existence, uniqueness and asymptotic behaviour. Nonlinear Analysis. Theory, Methods & Applications. 75(11):4251–4270, 2012.

[14] P. A. Razafimandimby and M. Sango. Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids. Comptes Rendus Mathématique. Académie des Sciences. Paris. 348(13-14):787–790, 2010.

[15] P. A. Razafimandimby. On stochastic models describing the motions of randomly forced linear viscoelastic fluids. Journal of Inequalities and Applications. Art. ID 932053, 27 pages, 2010.

[16] P. A. Razafimandimby and M. Sango. Weak solutions of a stochastic model for two-dimensional second grade fluids. Boundary Value Problems Article ID 636140, 47 pages, 2010.

Accepted

[17] Z. Brzeźniak and P. A. Razafimandimby. Irreducibility and strong feller property for stochastic evolution equations in banach spaces Accepted in Dicsrete and Continuous Dynamical Systems - Srie B, 2016.

[18] H. Bessaih, E. Hausenblas and P. A. Razafimandimby. Ergodicity of stochastic shell models driven by pure jump noise. Accepted in SIAM Journal on Mathematical Analysis, 2016.

[19] P. Fernando, E. Hausenblas and P. A. Razafimanidmby. Analytic properties of Markov semigroup generated by Stochastic Differential Equations driven by Lévy processes. Accepted in Potential Analysis, 24 pages, 2015.

[20] H. Bessaih and P. Razafimandimby. On the rate of convergence of the 2-D stochastic Leray-α model to the 2-D stochastic Navier-Stokes equations with multiplicative noise. To appear in Applied Mathematics and Optimization, 25 pages, 2015.

http://link.springer.com/article/10.1007/s00245-015-9303-7

Conference Proceedings

[21] Z. Brzeźniak, E. Hausenblas, and P. Razafimandimby. Stochastic Nonparabolic dissipative systems modeling the flow of Liquid Crystals: Strong solution. RIMS Symposium on Mathematical Analysis of Incompressible Flow, February 2013. RIMS Kôkyûroku 1875: 41–73, 2014.

Preprints (available upon request)

[22] Z. Brzeźniak, E. Hausenblas and P. A. Razafimandimby. Some results on a system of nonlinear SPDEs with multiplicative noise arising in the dynamics of nematic liquid crystals, preprint, 62 pages, 2014.

[23] Z. Brzeźniak, E. Hausenblas, P. A. Razafimandimby. Martingale solutions for Stochastic Equation of Reaction Diffusion Type driven by Lévy noise or Poisson random measure, Submitted, arXiv:1010.5933, 72 pages, 2013.

[24] E. Hausenblas and P. A. Razafimandimby. On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution. Submitted, arXiv:1206.1172v5, 29 pages, 2013.

[25] H. Bessaih, E. Hausenblas, T. Randrianasolo and P. A. Razafimandimby. Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces. Preprint, ready for submission, 26 pages, 2015.

[26] P. A. Razafimandimby. SPDEs with multiplicative noise for grade-two fluids and Lagrangian Averaged Euler equations on nonsmooth domain: Existence, uniqueness and regularity. Preprint, ready for submission, 50 pages, 2015.

Work in progress

[27] Z. Brzeźniak, E. Hausenblas and P. A. Razafimandimby. Quasi-Potential for the coupled stochastic Navier-Stokes and Reaction-Diffusion equations, 40 pages.

[28] P. A. Razafimandimby. Linearization of some stochastic semilinear equations: stability and rate of convergence, 18 pages.

[29] Z. Brzeźniak, E. Hausenblas and P. A. Razafimandimby. Optimal control of a simplified stochastic model for Liquid Crystals (really a work in progress).