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math.AP2022
On stability and instability of singular solutions to the 3D Euler and 2D Boussinesq equations
Jiajie Chen, Thomas Y. Hou
Singularity formation of the 3D incompressible Euler equations is known to be extremely challenging. In [18], Elgindi proved that the 3D axisymmetric Euler equations with no swirl…
math.NA2022★ 20 cited
An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations
Joseph Nakao, Jiajie Chen, Jingmei Qiu
We propose a new Eulerian-Lagrangian Runge-Kutta finite volume method for numerically solving convection and convection-diffusion equations. Eulerian-Lagrangian and semi-Lagrangian…