Potentially singular solutions of the 3D axisymmetric Euler equations G Luo, TY Hou Proceedings of the National Academy of Sciences 111 (36), 12968-12973, 2014 | 147 | 2014 |
Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation G Luo, TY Hou Multiscale Modeling & Simulation 12 (4), 1722-1776, 2014 | 135 | 2014 |
On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations K Choi, TY Hou, A Kiselev, G Luo, V Sverak, Y Yao Communications on Pure and Applied Mathematics 70 (11), 2218-2243, 2017 | 66 | 2017 |
LV shape and motion: B-spline-based deformable model and sequential motion decomposition G Luo, PA Heng IEEE Transactions on Information Technology in Biomedicine 9 (3), 430-446, 2005 | 34 | 2005 |
On the finite-time blowup of a 1D model for the 3D axisymmetric Euler equations K Choi, TY Hou, A Kiselev, G Luo, V Sverak, Y Yao arXiv preprint arXiv:1407.4776, 2014 | 33 | 2014 |
On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations TY Hou, Z Lei, G Luo, S Wang, C Zou Archive for Rational Mechanics and Analysis 212, 683-706, 2014 | 27 | 2014 |
On the finite-time blowup of a 1D model for the 3D incompressible Euler equations TY Hou, G Luo arXiv preprint arXiv:1311.2613, 2013 | 24 | 2013 |
Formation of finite-time singularities in the 3D axisymmetric Euler equations: a numerics guided study G Luo, TY Hou SIAM Review 61 (4), 793-835, 2019 | 18 | 2019 |
Divergent expansion, Borel summability and three-dimensional Navier–Stokes equation O Costin, G Luo, S Tanveer Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2008 | 16 | 2008 |
Potentially singular solutions of the 3D axisymmetric Euler equations TY Hou, G Luo PNAS 111 (36), 12968-12973, 2014 | 13 | 2014 |
Wiener type regularity of a boundary point for the 3D Lamé system G Luo, VG Maz’ya Potential Analysis 32, 133-151, 2010 | 8 | 2010 |
Weighted positivity of second order elliptic systems G Luo, VG Maz’ya Potential Analysis 27, 251-270, 2007 | 6 | 2007 |
An integral equation approach to smooth 3D Navier–Stokes solution O Costin, G Luo, S Tanveer Physica Scripta 2008 (T132), 014040, 2008 | 5 | 2008 |
Integral formulation of 3-D Navier-Stokes and longer time existence of smooth solutions O Costin, G Luo, S Tanveer arXiv preprint arXiv:0808.3721, 2008 | 4 | 2008 |
A simple and efficient numerical method for pricing discretely monitored early-exercise options M Huang, G Luo Applied Mathematics and Computation 422, 126985, 2022 | 1 | 2022 |
Pointwise inequalities for elliptic boundary value problems G Luo, VG Maz’ya Journal of Mathematical Sciences 210, 391-398, 2015 | 1 | 2015 |
Singularities in the complex spatial plane of a vortex sheet with blob regularization G Luo The Ohio State University, 2009 | 1 | 2009 |
Efficient adaptive schemes for Fourier continuation based PDE solvers I. the fundamentals G Luo, O BRUNO preparation, 0 | 1 | |
Finite time blow up for 1D models for incompressible fluids K Choi, Y Yao, V Sverak, A Kiselev, T Hou, G Luo Kyushu University, 2017 | | 2017 |
A Fast Algorithm for Computing Blob-Regularized Vortex Sheets G Luo, G Bakera | | |