Abstract
Existence of global-in-time, spatially inhomogeneous, and L 1-renormalized solutions is proven for the model of simple reacting spheres under the assumptions that initially the system has a finite total mass, energy, and entropy.
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Polewczak, J. The Kinetic Theory of Simple Reacting Spheres: I. Global Existence Result in a Dilute-Gas Case. Journal of Statistical Physics 100, 327–362 (2000). https://doi.org/10.1023/A:1018608216136
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DOI: https://doi.org/10.1023/A:1018608216136