Cahn–Hilliard–Brinkman systems for tumour growth

نویسندگان

چکیده

<p style='text-indent:20px;'>A phase field model for tumour growth is introduced that based on a Brinkman law convective velocity fields. The couples Cahn–Hilliard equation the evolution of to reaction-diffusion-advection nutrient and Brinkman–Stokes type fluid velocity. derived from basic thermodynamical principles, sharp interface limits are by matched asymptotics an existence theory presented case mobility which degenerates in one leading degenerate parabolic fourth order. Finally numerical results describe qualitative features solutions illustrate instabilities certain situations.</p>

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S

سال: 2021

ISSN: ['1937-1632', '1937-1179']

DOI: https://doi.org/10.3934/dcdss.2021034