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Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
Published 10 Aug 2025 in math.AP | (2508.07503v1)
Abstract: This work addresses the one-dimensional Cauchy problem for the doubly degenerate nutrient taxis model \begin{equation*} \begin{cases} \displaystyle \frac{\partial u}{\partial t} = \frac{\partial}{\partial x}(u v u_x) - \frac{\partial}{\partial x}(u2 v v_x) + u v, & x\in \mathbb{R}, ~t>0,
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