Ḃ-2∞,∞（Rd）中大初始数据漂移扩散系统解的全局存在性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-04 DOI:10.1016/j.nonrwa.2024.104145

Jihong Zhao, Rong Jin, Hao Chen

引用次数: 0

摘要

本文研究了半导体模型中产生的漂移-扩散系统的 Cauchy 问题。我们证明，如果初始数据的某个非线性函数足够小，那么在贝索夫类型的空间中，该漂移扩散系统存在全局解。我们还举例说明了满足该非线性小条件的初始数据，但其规范可在Ḃ∞,∞-2(Rd)中任意选择。

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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Global existence of solutions for the drift–diffusion system with large initial data in Ḃ−2∞,∞ (Rd)

In this paper, we study the Cauchy problem of the drift–diffusion system arising from semiconductor model. We prove that if a certain nonlinear function of the initial data is small enough, in a Besov type space, then there is a global solution to this drift–diffusion system. We also provide an example of initial data satisfying that nonlinear smallness condition, but whose norm be chosen arbitrarily large in ${\dot{B}}_{\infty, \infty}^{- 2} (R^{d})$ .

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.