A multidimensional model is introduced for the investigation of the dynamic behavior of binary (or multicomponent) mixtures of viscous, compressible reacting fluids. Gas mixtures have a variety of applications in science and engineering, often used to describe phase transition, combustion, the evolution of stars in astrophysics, or the dynamic behavior of semiconductors. In this setting the mixture can be thought as a continuum occupying in a certain time t and certain domain Ω ∈ R 3.
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References
E. Becker. Gasdynamik. Teubner–Verlag, Stuttgart, 1966.
G.-Q. Chen, D. Hoff, and K. Trivisa, On the Navier–Stokes equations for exothermically reacting compressible fluids, Acta Math. Appl. Sinica, 18 (2002), 15–36.
G.-Q.Chen, D. Hoff, and K. Trivisa, Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data, Arch. Ration. Mech. Anal. 166 (2003), 321–358.
D. Donatelli and K. Trivisa, A multidimensional model for the combustion of compressible fluids. Arch. Ration. Mech. Anal. 185, no. 3 (2007), 379–408.
D. Donatelli and K. Trivisa, On the motion of a viscous, compressible, radiative–reacting gas. To appear Comm. Math. Phys. (2006).
B. Ducomet and E. Feireisl, On the Dynamics of Gaseous Stars. Arch. Ration. Mech. Anal., 174, (2004), 221–266.
A. Ern and V. Giovangigli, Multicomponent Transport Algorithms, Lecture Notes in Physics, New Series “Monographs”, m 24, Springer–Verlag, Berlin, (1994).
E. Feireisl, Dynamics of viscous compressible fluids. Oxford University Press, Oxford, 2004.
E. Feireisl, On the motion of a viscous, compressible and heat conducting fluid. Indiana Univ. Math. J. 53, no. 6 (2004) 1705–1738.
E. Feireisl, A. Novotný. On a simple model of reacting flows arising in astrophysics. Proc. Roy. Soc. Edinburgh, Sect. A 135 (2005) 1169–1194.
V. Giovangigli, Multicomponent Flow Modeling, Modeling and Simulation in Science, Engineering and Technology, Birkhäuser (1999).
P.L. Lions, Mathematical Topics in Fluid Mechanics, Vol. 2, Oxford University Press: New York, 1998.
J. Oxenius. Kinetic Theory of Particles and Photons, Springer Series in Electrophysics 20, Springer–Verlag (1986).
K. Trivisa. On the Dynamics of Liquid-Vapor Phase Transition. To appear in SIAM J. Math. Anal. (2007).
K. Trivisa. On binary fluid mixtures. To appear in Contemp. Math. Amer. Math. Soc. (2007).
K. Trivisa. On multicomponent fluid mixtures. In preparation.
L. Waldmann und E. Trübenbacher, Formale Kinetische Theorie von Gasgemischen aus Anregbaren Molekülen, Zeitschr. Naturforschg., 17a, (1962), pp. 363–376.
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Trivisa, K. (2008). On the Motion of Binary Fluid Mixtures. In: Benzoni-Gavage, S., Serre, D. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_18
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