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Fluctuation Correction and Global Solutions for the Stochastic Shigesada-Kawasaki-Teramoto System via Entropy-Based Regularization (2501.17953v1)
Published 29 Jan 2025 in math.PR and math.AP
Abstract: We derive a noise term to account for fluctuation corrections based on the particle system approximation for the n-species Shigesada-Kawasaki-Teramoto (SKT) system. For the resulting system of stochastic partial differential equations (SPDEs), we establish the existence of nonnegative, global, weak martingale solutions. Our approach utilizes the regularization technique, which is grounded in the entropy structure of the system.
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