Global Analysis of Compressible Navier–Stokes–Korteweg Equations: Well-Posedness and Gevrey Analyticity

This paper investigates the Cauchy problem for the full compressible Navier–Stokes–Korteweg equations, which model fluid dynamics with capillary properties in Rd(d≥3). And the global well-posedness and Gevrey analytic of strong solutions for the system are established in the L2−Lp type critical hybrid Besov space with 2≤p≤2dd−2 and p<d.

Authors

Weixuan Shi (ORCID: https://orcid.org/0000-0001-8621-0014)
Minggang Han
Jianzhong Zhang (ORCID: https://orcid.org/0009-0009-3049-0681)

Institutions

Jiangnan University (CN)
Shandong Institute of Business and Technology (CN)

Publication Details

Journal: Axioms
Published: 2025-05-28
DOI: https://doi.org/10.3390/axioms14060411
Primary Topic: Navier-Stokes equation solutions
Type: article
Field-Weighted Citation Impact: 0.00

Funders

National Natural Science Foundation of China
China Postdoctoral Science Foundation
Natural Science Foundation of Shandong Province

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article

Global Analysis of Compressible Navier–Stokes–Korteweg Equations: Well-Posedness and Gevrey Analyticity

Weixuan Shi, Minggang Han, Jianzhong Zhang

May 28, 2025

Axioms

Navier-Stokes equation solutions

article

Global Analysis of Compressible Navier–Stokes–Korteweg Equations: Well-Posedness and Gevrey Analyticity

Weixuan Shi, Minggang Han, Jianzhong Zhang

May 28, 2025article en

Abstract

This paper investigates the Cauchy problem for the full compressible Navier–Stokes–Korteweg equations, which model fluid dynamics with capillary properties in Rd(d≥3). And the global well-posedness and Gevrey analytic of strong solutions for the system are established in the L2−Lp type critical hybrid Besov space with 2≤p≤2dd−2 and p<d.

AxiomsVol. 14(6)

Jiangnan University (CN), Shandong Institute of Business and Technology (CN)

National Natural Science Foundation of China, China Postdoctoral Science Foundation, Natural Science Foundation of Shandong Province

Openalex Percentile: Top 83%

Navier-Stokes equation solutions

DOI Open Access PDF OpenAlex

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