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Global existence of unique weak solutions and decay rates of Active model B with the logarithmic Cahn–Hilliard equation in Wiener space

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  • Bae, Hantaek

Abstract

In this paper, we deal with Active model B with the logarithmic Cahn–Hilliard equation. Under some smallness assumptions to initial data, we prove that there is a unique global-in-time solution which decays exponentially in time.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008238
    DOI: 10.1016/j.chaos.2023.113922
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    References listed on IDEAS

    as
    1. 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.
    2. 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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