A class of global solutions to the Euler-Poisson system.

TY - JOUR

T1 - A class of global solutions to the Euler-Poisson system.

AU - Hadzic, Mahir

AU - Jang, Juhi

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Using recent developments in the theory of globally defined expanding compressible gases, we construct a class of global-in-time solutions to the compressible 3-D Euler–Poisson system without any symmetry assumptions in both the gravitational and the plasma case. Our allowed range of adiabatic indices includes, but is not limited to all γ of the form γ=1+1n, n∈ N\ { 1 }. The constructed solutions have initially small densities, a compact support, and they stay close to Sideris affine solutions of the Euler system. As t→ ∞ the density scatters to zero and the support grows at a linear rate in t.

AB - Using recent developments in the theory of globally defined expanding compressible gases, we construct a class of global-in-time solutions to the compressible 3-D Euler–Poisson system without any symmetry assumptions in both the gravitational and the plasma case. Our allowed range of adiabatic indices includes, but is not limited to all γ of the form γ=1+1n, n∈ N\ { 1 }. The constructed solutions have initially small densities, a compact support, and they stay close to Sideris affine solutions of the Euler system. As t→ ∞ the density scatters to zero and the support grows at a linear rate in t.

UR - http://www.scopus.com/inward/record.url?scp=85069727228&partnerID=8YFLogxK

U2 - 10.1007/s00220-019-03525-1

DO - 10.1007/s00220-019-03525-1

M3 - Article

SN - 0010-3616

VL - 370

SP - 475

EP - 505

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -