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This article is cited in 4 scientific papers (total in 4 papers)
Research Papers
Spectral analysis of linearized stationary equations of viscous compressible fluid in $\mathbb{R}^3$, with periodic boundary conditions
M. A. Pribyl'
Abstract:
The operator whose spectrum is studied corresponds to linearized stationary equations of viscous compressible fluid in $\mathbb{R}^3$, with periodic boundary conditions. The equations are obtained by linearization of the nonlinear model equations of viscous compressible fluid near an arbitrary solution depending on the variable $x$. It is proved that the operator in question is sectorial and that its spectrum is discrete. Also, a subset of the complex plane that contains the spectrum is described. The resolvent is estimated off a sector in the complex plane that is symmetric with respect to the real axis.
Keywords:
Viscous compressible fluid, linearization, periodic boundary condition.
Received: 15.05.2007
Citation:
M. A. Pribyl', “Spectral analysis of linearized stationary equations of viscous compressible fluid in $\mathbb{R}^3$, with periodic boundary conditions”, Algebra i Analiz, 20:2 (2008), 149–177; St. Petersburg Math. J., 20:2 (2009), 267–288
Linking options:
https://www.mathnet.ru/eng/aa537 https://www.mathnet.ru/eng/aa/v20/i2/p149
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Abstract page: | 347 | Full-text PDF : | 94 | References: | 41 | First page: | 11 |
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