Blowup of classical solutions to the pressureless Euler/isentropic Navier‐Stokes equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5859
Abstract: In this paper, we will show the blowup of classical solutions to the Cauchy problem for the pressureless Euler/isentropic Navier‐Stokes equations in arbitrary dimensions under some restrictions on the initial data. Compared with the degenerate… read more here.
Keywords: classical solutions; navier stokes; isentropic navier; pressureless euler ... See more keywords
Global classical solutions of compressible isentropic Navier–Stokes equations with small density
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2017.12.005
Abstract: Abstract This paper concerns the Cauchy problem of compressible isentropic Navier–Stokes equations in the whole space R 3 . First, we show that if ρ 0 ∈ L γ ∩ H 3 , then the… read more here.
Keywords: stokes equations; density; global classical; isentropic navier ... See more keywords