Dynamics of Viscous Compressible Fluids

By Eduard Feireisl. 2004

1,087 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cb9ef6a0a6b1e13d2c7030af80a26ae6fac4a93f

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Citations in the corpus

Weak–Strong Uniqueness for the Isentropic Compressible Navier–Stokes System (2008, methodology): “The case of general, finite energy data was treated by Lions [14], with a technical restriction on γ, which was reduced by Feireisl [6] to γ > d 2 .”
Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier–Stokes System with Vacuum and Large Oscillations (2011, background): “[7] E. Feireisl, Dynamics of Viscous Compressible Fluids, Oxford Science Publication, Oxford, 2004.”
On the Inviscid Limit for the Compressible Navier–Stokes System in an Impermeable Bounded Domain (2012, positive): “In this setting the existence of global weak solutions of the Navier-Stokes equations is known since the pioneering work [33] of Lions, later improved by Feireisl, Novotný and Petzeltová in [10], see also [11, 12], for various boundary conditions.”
On a diffuse interface model for a two-phase flow of compressible viscous fluids (2008, methodology): “This difficulty is overcome by means of the technique introduced in Chapter 6 in [10].”
On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations (2013, background): “1) has been studied extensively in[2, 1, 5, 3, 6, 8, 7, 14, 15, 17, 18, 19, 20, 22, 10, 11, 12, 13, 16] and the references therein.”
On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids (2007, methodology): “As a matter of fact, the method used in [25] basically relies on a perturbation of P.”
Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows (2008, methodology): “[8] E. Feireisl, On the motion of a viscous, compressible, and heat conducting fluid, Indiana Univ. Math.”
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows (2009, methodology): “6 in [9], due to the energy equality (4.”
Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum (2013, background): “γ > 1, see [6, 7].”
Blowup Criterion for Viscous Baratropic Flows with Vacuum States (2010, background): “For the existence of solutions for arbitrary data, the major breakthrough is due to Lions [22,23] (see also Feireisl [13]), where he obtains global existence of weak solutions - defined as solutions with finite energy - when the exponent γ is suitably large.”
Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor (2015, methodology): “In 3d, we hence need γ > 9/5 versus only γ > 3/2 in [35].”
Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System (2011, background): “More recently, Lions [21] extended the theory to the class of barotropic flows (see also [12]), and, finally, the existence of global-in-time generalized solutions for the full Navier-Stokes-Fourier system was proved in [12], [14, Chapter III] (see also Bresch and Desjardins [2], [3] for an altrenat”
Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations (2015, background): “To remove the difficulty from the vacuum, Lions in [24] introduced the concept of renormalized solutions to establish the global existence of weak solutions for γ > 9 5 concerning large initial data that may vanish, and then FeireislNovotný-Petzeltová [11] and Feireisl [12] extended the existence re”
Well‐posedness of Compressible Euler Equations in a Physical Vacuum (2010, background): “The study of vacuum is important in understanding viscous flows [17,42].”