May 7, 2024Open Access

具有弱奇异灵敏度的趋化系统的有界性研究在二维中的任意亚二次降解源

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Abstract

我们研究了在二维域中具有弱奇异灵敏度和亚逻辑源的趋化系统解的全局存在性和有界性。X. Zhao（Nonlinearity; 2023; 36; 3909-3938）表明，逻辑降解 - u² 在大数假设下可以防止爆炸。在本文中，我们通过将二次降解替换为亚逻辑降解 - u²^ (u+e)（其中 (0, 1)）来改进这一结果，并去除了对大数的假设。

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Minh Le（星期二）研究了这个问题。

synapsesocial.com/papers/68e6b4c2b6db643587635a78 https://doi.org/https://doi.org/10.48550/arxiv.2405.04666

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5Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions2025

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具有弱奇异灵敏度的趋化系统的有界性研究 在二维中的任意亚二次降解源

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具有弱奇异灵敏度的趋化系统的有界性研究在二维中的任意亚二次降解源