4 papers
Weak Solutions for Inviscid SQG with Lorentz Data
Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen
We construct global weak solutions of the inviscid surface quasi-geostrophic equation in and in smooth bounded domains, for arbitrary initial data in the critical Lor…
Electric inertia and ideal magnetic reconnection in 2D
Peter Constantin, Zhongtian Hu
We consider inertial magneto-hydrodynamic systems in 2D. We show global existence and uniqueness of smooth solutions and global existence and uniqueness of weak solutions in Yudovi…
On putative self-similarity for incompressible 3D Euler
Peter Constantin, Mihaela Ignatova, Vlad Vicol
We consider hypothetical solutions of 3D Euler which blow up in finite time in a self-similar fashion. We prove that if the initial data has finite kinetic energy, then the similar…
Electroconvection in a Magnetic Field
Elie Abdo, Peter Constantin, Mihaela Ignatova +1
Electroconvection in a porous medium under a strong transversal magnetic field is described by an active scalar equation for the charge density. The equation has global weak soluti…