不可压缩Oldroyd方程局部解的存在性

刘筠, 原保全

doi:10.13371/j.cnki.chin.q.j.m.2017.04.001

数学季刊 >

2017 , Vol. 32 >Issue 4: 331 - 344

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.04.001

不可压缩Oldroyd方程局部解的存在性

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School of Mathematics and Information Science, Henan Polytechnic University

LIU Yun(1992-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications; YUAN Bao-quan(1965-), male, native of Jiaozuo, Henan, professor of Henan Polytechnic University, Ph.D., engages in partial di®erential equations and applications. School of Mathematics and Information Science, Henan Polytechnic University, Henan, 454000, China.

收稿日期: 2017-02-03

网络出版日期: 2020-10-20

基金资助

Supported by the National Natural Science Foundation of China(11471103)；

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Local Existence of Solution to the Incompressible Oldroyd Model Equations

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School of Mathematics and Information Science, Henan Polytechnic University

Received date: 2017-02-03

Online published: 2020-10-20

Supported by

Supported by the National Natural Science Foundation of China(11471103)；

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摘要

This paper investigates the local-in-time existence and uniqueness of strong solutions in H^s for s >n/2 to the incompressible Oldroyd model equations in Rⁿ, n = 2, 3.The result reads: if u₀, F₀∈ H^s（Rⁿ） with s >n/2, then there exists a unique strong solution u, F ∈ C（[0, T]; H^s（Rⁿ））, where T = T（‖u₀‖H^s, ‖F₀‖H^s） is the local existence time.

关键词： Incompressible Oldroyd model; local well-posedness; Friedrichs' method

本文引用格式

刘筠, 原保全 .

不可压缩Oldroyd方程局部解的存在性

[J]. 数学季刊, 2017 , 32(4) : 331 -344 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.001

Abstract

Key words： Incompressible Oldroyd model; local well-posedness; Friedrichs' method

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不可压缩Oldroyd方程局部解的存在性

School of Mathematics and Information Science, Henan Polytechnic University

School of Mathematics and Information Science, Henan Polytechnic University

摘要

本文引用格式

不可压缩Oldroyd方程局部解的存在性

Abstract