Monograph

[B1] (with M. Hamouda, C.-Y. Jung, and R. Temam), Singular perturbations and boundary layers, manuscript in preparation with Springer

 

Articles in refereed journals

[20] (with J. Kelliher and A. Mazzucato), Boundary layers for the Navier-Stokes equations linearized around a stationary Euler flow, Submitted

[19] (with C.-Y. Jung and T. B. Nguyen), Validation of a cell-centered Finite Volume method for elliptic equations, Submitted

[18] (with J. P. Whitehead), Boundary layer analysis for Navier-Slip Rayleigh-Benard convection, Submitted

[17] (with J. Kelliher, M. Lopes Filho, A. Mazzucato, and H. Nussenzveig Lopes), Vanishing viscosity limit of some symmetric flows, Submitted

[16] (with E. Cozzi and J. P. Kelliher), The aggregation equation with Newtonian potential: the vanishing viscosity limit, Journal of Mathematical Analysis and Applications, Vol. 453, no. 2, 2017, 841-893

[15] (with A. Sboui and M. Hamouda), Asymptotic Analysis of the Stokes equations in a square at small viscosity, Applicable Analysis, Vol. 95, no. 12, 2016, 2683-2702, Preprint

[14] (with C.-Y. Jung and R. Temam), Recent progresses in boundary layer theory, Discrete and Continuous Dynamical Systems - Series A, Vol. 36, no. 5, 2016, 2521-2583, Preprint

[13] (with C. Henderson, G. Iyer, L. Kavlie, and J. P. Whitehead), Stability of vortex solutions to an extended Navier-Stokes system, Communications in Mathematical Sciences, Vol. 14, no. 7, 2016, 1773-1797, Preprint

[12] (with R. Temam), Convergence of a cell-centered Finite Volume method and application to elliptic equations, International Journal of Numerical Analysis and Modeling, Vol. 12, no. 3, 2015, 536-566, Preprint

[11] (with A. Bousquet, Y. Hong, and J. Laminie), A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain, Numerische Mathematik, Vol. 128, no. 3, 2014, 431-461, Preprint

[10] Asymptotic expansion of the Stokes solutions at small viscosity: the case of non-compatible initial data, Communications in Mathematical Sciences, Vol. 12, no. 2, 2014, 383-400, Preprint

[9] (with C.-Y. Jung), Vorticity layers of the 2D Navier-Stokes equations with a slip type boundary condition, Asymptotic Analysis, Vol. 84, no. 1, 2013, 17-33 , Preprint

[8] (with C.-Y. Jung and R. Temam), Analysis of mixed elliptic and parabolic boundary layers with corners, International Journal of Differential Equations, Special issue on Qualitative Analysis of Differential Equations, Vol. 2013, Article ID 532987, 13 pages, 2013, Preprint

[7] (with L. Song and M.-C. Shiue), Interior penalty discontinuous Galerkin methods with implicit time-integration techniques for nonlinear parabolic equations, Numerical Methods for Partial Differential Equations, Vol. 29, no. 4, 2013, 1341-1366, Preprint

[6] (with M. Hamouda and R. Temam), Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary, Networks and Heterogeneous Media, Special issue in honor of Hiroshi Matano, Vol. 7, no. 4, 2012, 741-766, Preprint

[5] (with J. P. Kelliher), Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions, Journal of Differential Equations, Vol. 253, no. 6, 2012, 1862-1892, Prepint

[4] (with M. Hamouda and R. Temam), Asymptotic analysis of the Stokes problem on general bounded domains: the case of a characteristic boundary, Applicable Analysis, Vol. 89, no. 1, 2010, 49-66

[3] (with M. Hamouda and R. Temam), Boundary layers in smooth curvilinear domains: parabolic problems, Discrete and Continuous Dynamical Systems - Series A, Vol. 26, no. 4, 2010, 1213-1240

[2] (with R. Temam), Cell centered Finite Volume methods using Taylor Series Expansion Scheme without fictitious domains, International Journal of Numerical Analysis and Modeling, Vol. 7, no. 1, 2010, 1-29

[1] Singular perturbation problems in a general smooth domain, Asymptotic Analysis, Vol. 62, no. 3-4, 2009, 227-249