JOURNAL ARTICLE

Global existence of a classical solution for the isentropic nozzle flow.

  • Published In: Analysis & Applications, 2025, v. 23, n. 7. P. 1045 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Chou, Shih-Wei; Huang, Bo-Chih; Lu, Yun-Guang; Tsuge, Naoki 3 of 3

Abstract

Our goal in this paper is to prove the global existence of a classical solution for the isentropic nozzle flow. Regarding this problem, there exist some global existence theorems of weak solutions. However, those of classical solutions did not have much attention until now. When we consider the present problem, the main difficulty is to obtain the uniform bound of solutions and their derivatives. To solve this, we introduce an invariant region depending on the space variable and a functional satisfying the Riccati equation along the characteristic lines. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Analysis & Applications. 2025/10, Vol. 23, Issue 7, p1045
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:0219-5305
  • DOI:10.1142/S0219530525500010
  • Accession Number:187438083
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