Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
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Publication:2459647
DOI10.1016/j.camwa.2006.02.030zbMath1122.76077OpenAlexW2069779614MaRDI QIDQ2459647
Yoshihiro Shibata, Koumei Tanaka
Publication date: 7 November 2007
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.030
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
- On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
- Global existence in critical spaces for compressible Navier-Stokes equations
- \(L_2\) and \(L_\infty\) estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain
- Global existence of small solutions to a class of nonlinear evolution equations
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
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