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arXiv · 2311.05277

Analiticity of the Flow for the Aggregation Equation

J. M. Burgués·J. Mateu
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Abstract

Let $\Omega$ be a bounded domain in $\R^n$ whose boundary is $\ka{1,\,\gamma}$ for $\gamma\in(0,\,1)$. Consider the aggregation equation in the case of the initial condition being a positive multiple of the characteristic function of $\Omega$. In this paper we prove global in time analyticity of the flow generated by the velocity field which propagates the density solution of this equation.

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J. M. Burgués, J. Mateu. 2023-11-09. Analiticity of the Flow for the Aggregation Equation. https://arxiv.org/abs/2311.05277

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