Zhuoru Chen, Taige Wang, Xiangfei Xie
Abstract:
In this article, we establish bilinear estimates for the
nonlinear term appearing in fluid mechanics models posed in bounded
domains of 2D and 3D. Also, we give an example to apply the estimates in
a 2D bounded domain.
Published May 13, 2025.
Math Subject Classifications: 35D05, 35K55, 34K13, 35Q93.
Key Words: Bilinear estimate; wellposedness; existence
DOI: https://doi.org/10.58997/ejde.conf.26.c2
Show me the PDF file (288 K), TEX file for this article.
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Zhuoru Chen Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221, USA email: 1210506001@cnu.edu.cn |
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Taige Wang Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221, USA email: taige.wang@uc.edu |
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Xiangfei Xie Department of Computer Science College of Engineering and Applied Science University of Cincinnati Cincinnati, OH 45221, USA email: xiexf@mail.uc.edu |
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