21 citations · 73 across the 10 of their papers we have counts for
10 papers
Constructing the general partial waves and renormalization in EFT
Jing Shu, Ming-Lei Xiao, Yu-Hui Zheng
We construct the general partial wave amplitude basis for the scattering, which consists of Poincaré Clebsch-Gordan coefficients, with Lorentz invariant forms given in ter…
Charged Fluids in Porous Media
Mihaela Ignatova, Jingyang Shu
The Nernst-Planck-Darcy system models ionic electrodiffusion in porous media. We consider the system for two ionic species with opposite valences. We prove that the initial value p…
Global Solutions of the Nernst-Planck-Euler Equations
Mihaela Ignatova, Jingyang Shu
We consider the initial value problem for the Nernst-Planck equations coupled to the incompressible Euler equations in . We prove global existence of weak solutions fo…
On the approximation of vorticity fronts by the Burgers-Hilbert equation
John K. Hunter, Ryan C. Moreno-Vasquez, Jingyang Shu +1
This paper proves that the motion of small-slope vorticity fronts in the two-dimensional incompressible Euler equations is approximated on cubically nonlinear timescales by a Burge…
Global solutions for a family of GSQG front equations
John K. Hunter, Jingyang Shu, Qingtian Zhang
We prove the global existence of solutions with small and smooth initial data of a nonlinear dispersive equation for the motion of generalized surface quasi-geostrophic (GSQG) fron…
Contour Dynamics for Surface Quasi-Geostrophic Fronts
John K. Hunter, Jingyang Shu, Qingtian Zhang
We use contour dynamics to derive equations of motion for infinite planar surface quasi-geostrophic (SQG) fronts, and show that it leads to the same result as a regularization proc…
Two-Front Solutions of the SQG Equation and its Generalizations
John K. Hunter, Jingyang Shu, Qingtian Zhang
The generalized surface quasi-geostrophic (GSQG) equations are transport equations for an active scalar that depend on a parameter . Special cases are the two-dimensional…
Global Solutions of a Surface Quasi-Geostrophic Front Equation
John K. Hunter, Jingyang Shu, Qingtian Zhang
We consider a nonlinear, spatially-nonlocal initial value problem in one space dimension on that describes the motion of surface quasi-geostrophic (SQG) fronts. We pro…
Local wellposedness of an approximate equation for SQG fronts
John K. Hunter, Jingyang Shu, Qingtian Zhang
We prove local well-posedness in the Sobolev spaces , with , for an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that…
Regularized and Approximate Equations for Sharp Fronts in the Surface Quasi-Geostrophic Equation and its Generalizations
John K. Hunter, Jingyang Shu
We derive regularized contour dynamics equations for the motion of infinite sharp fronts in the two-dimensional incompressible Euler, surface quasi-geostrophic (SQG), and generaliz…