带有非线性平流的FKPP模型向行波的收敛速率
Convergence rates to traveling waves for an FKPP model with nonlinear advection
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中文总结 AI 辅助
针对带非线性平流的FKPP反应扩散模型，通过形状缺陷函数和新的能量方法结合加权Nash不等式，建立了解向行波的收敛速率并确定了模型的前沿位置。
中文摘要 AI 辅助
我们针对带有非线性平流的反应扩散模型，建立了解向行波的收敛速率。该收敛速率通过形状缺陷函数证明；我们引入一种基于能量方法的新途径，该途径利用加权Nash不等式得到形状缺陷函数的$L^\fty$估计。在确定收敛速率时，我们还确定了该模型的前沿位置。
英文摘要
We establish convergence rates of solutions to traveling waves for a reaction diffusion model with nonlinear advection. The convergence rate is proven using the shape defect function. We introduce a novel energy methods-based approach that uses a weighted Nash inequality to obtain $L^\infty$-estimates on the shape defect function. In determining the convergence rates, we also establish the front location for the model.
