Spectral analysis of linearized stationary equations of viscous compressible fluid in $\mathbb {R}^3$, with periodic boundary conditions

DOI10.1090/S1061-0022-09-01047-4zbMath1206.35209OpenAlexW2009130718MaRDI QIDQ3079249

M. A. Pribyl'

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-09-01047-4

zbMATH Keywords

linearizationperiodic boundary conditionviscous compressible fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Asymptotic properties of linearized equations of low compressible fluid motion ⋮ Слабая и сильная сходимость решений линеаризованных уравнений слабосжимаемой жидкости

Cites Work

• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Geometric theory of semilinear parabolic equations
• Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
• Spectral analysis of viscous static compressible fluid equilibria
• Stabilizability of a quasi-linear parabolic equation by means of a boundary control with feedback
• Spectral analysis of linearized stationary equations of a compressible viscous fluid

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