Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation

被引：0
|
作者：
Luiz Gustavo Farah
Frederic Rousset
Nikolay Tzvetkov
机构：
[1] Universidade Federal de Minas Gerais,Departamento de Matemática
[2] IRMAR Université de Rennes 1,Département de Mathématiques
[3] Université Cergy-Pontoise UMR CNRS8088,undefined
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2012年 / 43卷
关键词：
multidimensional oscillatory integral; 2D Boussinesq equation; global well-posedness; 35Q53; 35B30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a multidimensional oscillatory integral estimate using a variant ofthestationaryphasemethod. Asaconsequence, weobtainglobalwell-posednessfor small data for the 2D Boussinesq equation utt + (uxx + u2 − u)xx − uyy = 0.
引用
收藏
页码：655 / 679
页数：24
相关论文
共 50 条
  • [21] GLOBAL WELL-POSEDNESS OF THE STOCHASTIC 2D BOUSSINESQ EQUATIONS WITH PARTIAL VISCOSITY
    蒲学科
    郭柏灵
    ActaMathematicaScientia, 2011, 31 (05) : 1968 - 1984
  • [22] Global well-posedness of a model on 2D Boussinesq–Bénard equations
    Li, Chaoying
    Xu, Xiaojing
    Ye, Zhuan
    Zeitschrift fur Angewandte Mathematik und Physik, 2021, 72 (01):
  • [23] Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
    Ye, Zhuan
    Xu, Xiaojing
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (08) : 6716 - 6744
  • [24] GLOBAL WELL-POSEDNESS FOR THE 2D FRACTIONAL BOUSSINESQ EQUATIONS IN THE SUBCRITICAL CASE
    Zhou, Daoguo
    Li, Zilai
    Shang, Haifeng
    Wu, Jiahong
    Yuan, Baoquan
    Zhao, Jiefeng
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 298 (01) : 233 - 255
  • [25] Global well-posedness of a model on 2D Boussinesq–Bénard equations
    Chaoying Li
    Xiaojing Xu
    Zhuan Ye
    Zeitschrift für angewandte Mathematik und Physik, 2021, 72
  • [26] Global well-posedness for 2D Boussinesq system with general supercritical dissipation
    Fang, Daoyuan
    Qian, Chenyin
    Zhang, Ting
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 27 : 326 - 349
  • [27] Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation
    Su, Xing
    Wang, Gangwei
    Wang, Yue
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [28] On the global well-posedness and striated regularity of the 2D Boussinesq-MHD system
    Niu, Dongjuan
    Peng, Jiao
    Wang, Lu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2572 - 2595
  • [29] Global well-posedness of the 2D Euler-Boussinesq system with stratification effects
    Li, Zhouyu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (14) : 5212 - 5221
  • [30] Low regularity global well-posedness for 2D Boussinesq equations with variable viscosity
    Sun, Weixian
    Ye, Zhuan
    JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (04)
12345