ArXiv论文分析报告

生成时间: 2025年06月25日 19:59:57 搜索类别: math.AP 重点关注论文数量: 0 了解领域论文数量: 3


了解领域论文(摘要翻译)

1. Pattern formation and film rupture in a two-dimensional thermocapillary thin-film model of the Bénard-Marangoni problem

作者: Stefano Böhmer, Bastian Hilder, Jonas Jansen

类别: math.AP, nlin.PS, 35B36, 70K50, 35B32, 35Q35, 35K59, 35K65, 35Q79, 76A20, 35B10, 35B35

发布日期: 2025-06-24

ArXiv ID: 2506.19795v1

链接: http://arxiv.org/abs/2506.19795v1

摘要翻译

翻译出错:

You tried to access openai.ChatCompletion, but this is no longer supported in openai>=1.0.0 - see the README at https://github.com/openai/openai-python for the API.

You can run openai migrate to automatically upgrade your codebase to use the 1.0.0 interface.

Alternatively, you can pin your installation to the old version, e.g. pip install openai==0.28

A detailed migration guide is available here: https://github.com/openai/openai-python/discussions/742


2. Multiplicity results for mixed local-nonlocal variable exponent problem involving singular and superlinear term

作者: Shammi Malhotra, Ambesh Kumar Pandey, K. Sreenadh

类别: math.AP, math.FA, 35J60, 35J50, 35J75, 55M25, 35R11, 35J92

发布日期: 2025-06-24

ArXiv ID: 2506.19793v1

链接: http://arxiv.org/abs/2506.19793v1

摘要翻译

翻译出错:

You tried to access openai.ChatCompletion, but this is no longer supported in openai>=1.0.0 - see the README at https://github.com/openai/openai-python for the API.

You can run openai migrate to automatically upgrade your codebase to use the 1.0.0 interface.

Alternatively, you can pin your installation to the old version, e.g. pip install openai==0.28

A detailed migration guide is available here: https://github.com/openai/openai-python/discussions/742


3. Singular limits of anisotropic weak solutions to compressible magnetohydrodynamics

作者: Nicolas Besse, Christophe Cheverry

类别: math.AP

发布日期: 2025-06-24

ArXiv ID: 2506.19784v1

链接: http://arxiv.org/abs/2506.19784v1

摘要翻译

翻译出错:

You tried to access openai.ChatCompletion, but this is no longer supported in openai>=1.0.0 - see the README at https://github.com/openai/openai-python for the API.

You can run openai migrate to automatically upgrade your codebase to use the 1.0.0 interface.

Alternatively, you can pin your installation to the old version, e.g. pip install openai==0.28

A detailed migration guide is available here: https://github.com/openai/openai-python/discussions/742