Local Well-Posedness and Blow Up Criterion for the Inviscid Boussinesq System in Holder Spaces

被引：24

作者：

Cui Xiaona ^{[1
]}

Dou Changsheng ^{[2
]}

Jiu Quansen ^{[3
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[2] LCP, Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 25卷 / 03期

关键词：

Inviscid Boussinesq system; local well-posedness; blow-up criterion;

D O I：

10.4208/jpde.v25.n3.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the local in time existence and a blow up criterion of solution in the Holder spaces for the inviscid Boussinesq system in R-N,N >= 2, under the assumptions that the initial values theta(0),u(0) is an element of C-r, with 1 < r not equal 2.

引用

页码：220 / 238

页数：19

共 50 条

[41] Local well-posedness and regularity criterion for the density dependent incompressible Euler equations
Zhou, Yong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (03) : 750 - 766
[42] BKM-type blow-up criterion of the inviscid axially symmetric Boussinesq system involving a single component of velocity
Zijin Li
Xinghong Pan
Zeitschrift für angewandte Mathematik und Physik, 2023, 74
[43] On the local well-posedness of the 1D Green-Naghdi system on Sobolev spaces
Inci, Hasan
MATHEMATISCHE NACHRICHTEN, 2024, 297 (01) : 52 - 62
[44] Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation in the critical Besov space
Tu, Xi
Yin, Zhaoyang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 128 : 1 - 19
[45] A nonlinear fractional diffusion equation: Well-posedness, comparison results, and blow-up
de Andrade, Bruno
Siracusa, Giovana
Viana, Arlucio
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (02)
[46] Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation in the critical Besov space
Tu, Xi
Yin, Zhaoyang
MONATSHEFTE FUR MATHEMATIK, 2020, 191 (04): : 801 - 829
[47] WELL-POSEDNESS AND BLOW-UP SCENARIO FOR A NEW INTEGRABLE FOUR-COMPONENT SYSTEM WITH PEAKON SOLUTIONS
Mi, Yongsheng
Guo, Boling
Mu, Chunlai
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (04) : 2171 - 2191
[48] WELL-POSEDNESS AND BLOW-UP PHENOMENA FOR A GENERALIZED CAMASSA-HOLM EQUATION
Li, Jinlu
Yin, Zhaoyang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (10) : 5493 - 5508
[49] Local well-posedness for the isentropic compressible MHD system with vacuum
Fan, Jishan
Zhou, Yong
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (05)
[50] Local Well-Posedness of a Dispersive Navier-Stokes System
Levermore, C. David
Sun, Weiran
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2011, 60 (02) : 517 - 576

← 1 2 3 4 5 →