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

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  • Hantaek Bae

    (Ulsan National Institute of Science and Technology (UNIST))

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.

Suggested Citation

  • Hantaek Bae, 2020. "Global existence of solutions to some equations modeling phase separation of self-propelled particles," Partial Differential Equations and Applications, Springer, vol. 1(6), pages 1-26, December.
    • Handle: RePEc:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00047-7
    DOI: 10.1007/s42985-020-00047-7
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    References listed on IDEAS

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    1. Raphael Wittkowski & Adriano Tiribocchi & Joakim Stenhammar & Rosalind J. Allen & Davide Marenduzzo & Michael E. Cates, 2014. "Scalar φ4 field theory for active-particle phase separation," Nature Communications, Nature, vol. 5(1), pages 1-9, September.
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    Cited by:

    1. Bae, Hantaek, 2023. "Global existence of unique weak solutions and decay rates of Active model B with the logarithmic Cahn–Hilliard equation in Wiener space," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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