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Author:

Zheng, Lin (Zheng, Lin.) | Wang, Shu (Wang, Shu.) (Scholars:王术)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper we prove that for certain class of the initial data, the corresponding solutions of the 3-D viscous primitive equations without viscosity blow up in finite time. We find a specific solution to simplify the three dimensional systems, and furthermore, we construct a self-similar solution to solve the blow-up problem. (C) 2017 Elsevier Ltd. All rights reserved.

Keyword:

Primitive equations Blow-up Self-similar solution

Author Community:

  • [ 1 ] [Zheng, Lin]Beijing Univ Technol, Coll Appl Sci, PingLe Yuan 100, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, PingLe Yuan 100, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zheng, Lin]Beijing Univ Technol, Coll Appl Sci, PingLe Yuan 100, Beijing 100124, Peoples R China

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Source :

APPLIED MATHEMATICS LETTERS

ISSN: 0893-9659

Year: 2018

Volume: 76

Page: 117-122

3 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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