• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Li, Yatao (Li, Yatao.) | Liu, Jitao (Liu, Jitao.) | Wu, Yanxia (Wu, Yanxia.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we make the first attempt to investigate the Cauchy problem of a shallow water model, namely, the inviscid lake equations, in the Besov spaces. Notably, we prove the global existence and uniqueness of the solutions in the Besov spaces Bp,qs(Double-struck capital R2)$$ {B}_{p,q} circumflex s\left({\mathbb{R}} circumflex 2\right) $$ for s>2p+1$$ s >\frac{2}{p}+1 $$ and s=2p+1$$ s equal to \frac{2}{p}+1 $$ if q=1$$ q equal to 1 $$, which contain the particular case of the endpoint Besov space B infinity,11(Double-struck capital R2)$$ {B}_{\infty, 1} circumflex 1\left({\mathbb{R}} circumflex 2\right) $$.

Keyword:

Besov spaces global well-posedness inviscid lake equations

Author Community:

  • [ 1 ] [Li, Yatao]Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst MOE, Beijing 100875, Peoples R China
  • [ 2 ] [Liu, Jitao]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China
  • [ 3 ] [Wu, Yanxia]Shandong Univ Finance & Econ, Sch Stat & Math, Jinan 250014, Peoples R China

Reprint Author's Address:

Show more details

Related Keywords:

Source :

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN: 0170-4214

Year: 2022

Issue: 16

Volume: 45

Page: 9545-9559

2 . 9

JCR@2022

2 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:20

JCR Journal Grade:1

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Affiliated Colleges:

Online/Total:577/10704315
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.