Monograph
[B1] (with M. Hamouda, C.-Y. Jung, and R. Temam), Singular perturbations and boundary layers, volume 200 of Applied Mathematical Sciences, Springer Nature Switzerland AG, 2018
Articles in refereed journals
[31] (with J. Kelliher, and A. Mazzucato), Boundary layer analysis for viscous flows in a rectangular domain, Preprint
[30] (with T.-Y. Chang, Y. Hong, and C.-Y. Jung), Singular layer Physics Informed Neural Network method for plane-parallel flows, Submitted
[29] (with Y. Hong, C.-Y. Jung, and Dongseok Lee), Semi-analytic physics informed neural network for convection-dominated boundary layer problems in 2D, Submitted
[28] (with Y. Hong, C.-Y. Jung, and Tselmuun Munkhjin), Semi-analytic PINN methods for boundary layer problems in a rectangular domain, Submitted
[27] (with C.-Y. Jung, H.-H. Kim, and T. B. Nguyen), A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes, Submitted
[26] (with Y. Hong, and C.-Y. Jung), Semi-analytic PINN methods for singularly perturbed boundary value problems, Submitted
[25] (with J. Kelliher, and A. Mazzucato), The 3D Euler equations with inflow, outflow and vorticity boundary conditions, Submitted
[24] (with J. Kelliher, and A. Mazzucato), The linearized 3D Euler equations with inflow, out flow, Advances in Differential Equations, Vol. 28, Number 5-6 (2023), 373-412
[23] (with C.-Y. Jung and H. Lee), Semi-analytic shooting methods for Burgers' equation, Journal of Computational and Applied Mathematics, Vol. 418, 2023, 114694, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2022.114694
[22] (with C.-Y. Jung and H. Lee), Semi-analytic time differencing methods for singularly perturbed initial value problems, Numerical Methods for Partial Differential Equations, First published: 08 Sep. 2021, https://doi.org/10.1002/num.22839
[21] (with C.-Y. Jung and H. Lee), Enriched Finite Volume approximations of the plane-parallel flow at a small viscosity, Journal of Scientific Computing, 84, 7 (2020), https://doi.org/10.1007/s10915-020-01259-0
[20] (with C.-Y. Jung and T. B. Nguyen), Validation of a 2D cell-centered Finite Volume method for elliptic equations, Mathematics and Computers in Simulation, 2019, https://doi.org/10.1016/j.matcom.2019.03.008
[19] (with J. P. Whitehead), Boundary layer analysis for Navier-Slip Rayleigh-Benard convection: the non-existence of an ultimate state, Journal of Mathematical Fluid Mechanics, 2019, https://doi.org/10.1007/s00021-018-0404-3
[18] (with J. Kelliher, M. Lopes Filho, A. Mazzucato, and H. Nussenzveig Lopes), Vanishing viscosity limit of some symmetric flows, Annales de l'Institut Henri Poincare C, Analyse Non Lineaire, 2018, https://doi.org/10.1016/j.anihpc.2018.11.006
[17] (with J. Kelliher and A. Mazzucato), Boundary layers for the Navier-Stokes equations linearized around a stationary Euler flow, Journal of Mathematical Fluid Mechanics, 2018, https://doi.org/10.1007/s00021-018-0371-8
[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
