Journal of Mathematical Physics, Volume 61, Issue 10, October 2020. In this paper, we study the strong solutions to the Cauchy problem of nonhomogeneous incompressible magnetohydrodynamic (MHD) equations on the whole two-dimensional (2D) space with vacuum as far field density. In particular, the initial density can have compact support. If both the initial density and the initial magnetic field decay not too slow at infinity, the 2D Cauchy problem of the nonhomogeneous incompressible MHD equations admits a unique local strong solution.

## Authors

## Departments

## Libraries

## Recent Articles

- Super Camassa–Holm-type systems associated to the Kuper–Ramond–Schwarz superalgebra
- Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
- Local uniformly upper semi-continuity of random attractor for g-Navier–Stokes equation
- Hall conductance and the statistics of flux insertions in gapped interacting lattice systems
- Strong solutions to the 2D Cauchy problem of nonhomogeneous magnetohydrodynamic equations with vacuum
- Mark Yakovlevich Azbel
- Roberto Daniele Peccei
- Where does outer space begin?
- Career choices
- Science’s endangered reputation
- More thoughts on physics pedagogy
- A footnote on the founding of NSF
- Milutin Milanković’s time in Serbia
- Cold War particle-physics collaborations
- Compressibility measurements reach white dwarf pressures
- One photon’s transmission usefully controls another
- Tropical soils could be accelerating global warming
- PhD student–adviser pairing is critical, but in US physics departments it’s often haphazard
- Nanopainted art
- Reflections on an academic job search