Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity
Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity
In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msup> <mrow> <mi>H</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </math> and its <math xmlns="http://www.w3.org/1998/Math/MathML" …