SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 323-350, January 2021.
We study the global existence and uniform-in-time bounds of classical solutions in all dimensions to reaction-diffusion systems dissipating mass. By utilizing the duality method and the regularization of the heat operator, we show that if the diffusion coefficients are close to each other, or if the diffusion coefficients are large enough compared to initial data, then the local classical solution exists globally and is bounded uniformly in time. Applications of the results include the validity of the Global Attractor Conjecture for complex balanced reaction systems with large diffusion.

中文翻译：

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具有质量耗散的反应扩散系统的一致有界性

SIAM数学分析期刊，第53卷，第1期，第323-350页，2021年1月。
我们研究了耗散质量的反应扩散系统在各个维度上经典解的整体存在性和时间统一边界。通过使用对偶方法和热算符的正则化，我们表明，如果扩散系数彼此接近，或者如果扩散系数与初始数据相比足够大，则局部经典解将全局存在并统一约束及时。结果的应用包括全局吸引子猜想对具有大扩散的复杂平衡反应系统的有效性。