Global existence of solutions to some equations modeling phase separation of self-propelled particles

Hantaek Bae ()
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Hantaek Bae: Ulsan National Institute of Science and Technology (UNIST)

Partial Differential Equations and Applications, 2020, vol. 1, issue 6, 1-26

Abstract: Abstract In this paper, we provide mathematical results on some models of phase separation of self-propelled particles. To this end, we first introduce a general model presented in Tiribocchi et al. (Phys Rev Lett 115:188302, 2015). We then proceed to handle some particular cases where $$\lambda $$ λ , whose role is to violate time reversal symmetry, is zero (passive) or nonzero (active). We also cover some models coupled with incompressible fluids.

Keywords: Phase separation; Passive model; Active model; Global solutions; 35Q92; 35Q35; 35Q30 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00047-7

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