具有相关噪声的迪安-川崎方程和非线性道森-瓦塔那贝方程的良好拟合度

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-03-11 DOI:10.1007/s00205-024-01963-3

Benjamin Fehrman, Benjamin Gess

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引用次数: 0

摘要

摘要本文证明了广义迪安-川崎方程在时间上为白噪声、空间上为彩色噪声驱动下的良好求解性。结果处理了仅局部 \({1}/{2}\) -Hölder 连续的扩散系数，包括平方根。这解决了几个悬而未决的问题，包括 Dean-Kawasaki 方程和具有相关噪声的非线性 Dawson-Watanabe 方程的良好拟合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise

In this paper we prove the well-posedness of the generalized Dean–Kawasaki equation driven by noise that is white in time and colored in space. The results treat diffusion coefficients that are only locally \({1}/{2}\)-Hölder continuous, including the square root. This solves several open problems, including the well-posedness of the Dean–Kawasaki equation and the nonlinear Dawson–Watanabe equation with correlated noise.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464