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## Compressible Navier-Stokes Equations (compressible + navier-stoke_equation)
## Selected Abstracts## Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Issue 4 2003Sang Dong KimAbstract The finite element discretization error estimate and H1 regularity are shown for the solution generated by Newton's method to the stationary compressible Navier-Stokes equations by interpreting Newton's method as an equivalent iterative method. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 511,524, 2003 [source] ## Towards High Order Numerical Simulation of Aeolian Tones PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2005Bernhard MüllerStrictly stable high order finite difference operators have been applied to the compressible Navier-Stokes equations in perturbation form for low Mach number computational aeroacoustics. Aeolian tones generated by vortex shedding from a circular cylinder have been simulated. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source] ## Modeling and Simulation of Fires in Vehicle Tunnels PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2003I. Teleaga M.Sc.Starting with compressible Navier-Stokes equations we derive a new fluid model by applying a low-Mach number asymptotic. The model is used to simulate fire events in vehicular tunnels. [source] ## Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 9 2010Qionglei ChenIn this paper, we prove global well-posedness for compressible Navier-Stokes equations in the critical functional framework with the initial data close to a stable equilibrium. This result allows us to construct global solutions for the highly oscillating initial velocity. The proof relies on a new estimate for the hyperbolic/parabolic system with convection terms. © 2010 Wiley Periodicals, Inc. [source] ## Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 7 2004C. MasciaCombining pointwise Green's function bounds obtained in a companion paper [36] with earlier, spectral stability results obtained in [16], we establish nonlinear orbital stability of small-amplitude Lax-type viscous shock profiles for the class of dissipative symmetric hyperbolic-parabolic systems identified by Kawashima [20], notably including compressible Navier-Stokes equations and the equations of magnetohydrodynamics, obtaining sharp rates of decay in Lp with respect to small L1 , H3 perturbations, 2 , p , ,. Our analysis extends and somewhat refines the approach introduced in [35] to treat stability of relaxation profiles. © 2004 Wiley Periodicals, Inc. [source] |