Compressible Navier-Stokes equations with vacuum state in one dimension

Article Properties
Citations
Title Journal Journal Categories Citations Publication Date
Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary Acta Mathematica Scientia
  • Science: Mathematics
 2023
Interface behavior and decay rates of compressible Navier-Stokes system with density-dependent viscosity and a vacuum Acta Mathematica Scientia
  • Science: Mathematics
 2023
Global Weak Solutions for 1D Compressible Navier–Stokes/Allen–Cahn System with Vacuum Zeitschrift für angewandte Mathematik und Physik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
Existence of global strong solutions for a reduced gravity two-and-a-half layer model Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model Nonlinear Analysis: Real World Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
Citations Analysis
Category Category Repetition
Science: Mathematics30
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods16
Science: Physics2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Mechanical engineering and machinery1
Science: Mathematics: Analysis1
The category Science: Mathematics 30 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A note on compressible Navier–Stokes equations with vacuum state in one dimension and was published in 2004. The most recent citation comes from a 2023 study titled Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary. This article reached its peak citation in 2009, with 5 citations. It has been cited in 17 different journals, 5% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year