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v16i1p11.pdf
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🔗 Source: ajmaa.org
📊 Size: 153 KB
📄 Pages: 11 pages
⬇️ Downloads: 77

Summary

The authors consider a stochastic equation for a viscous barotropic gas and prove the existence and uniqueness of the solution using the Galerkin method. They define a functional ϕ(t) and apply Itô's formula to obtain an estimate for the solution, which is useful for analyzing its behavior. The estimate is then used to prove the existence and uniqueness of the solution. The authors also consider an approximate problem by adding a diffusion term to the equation and obtain an estimate of the energy to analyze the behavior of the solution.

Description

The authors consider a stochastic equation for a viscous barotropic gas and prove the existence and uniqueness of the solution using the Galerkin method.

Technical Information

  • File Format: PDF
  • File Size: 153 KB
  • Pages: 11
  • Language: EN
  • Total Downloads: 77
  • Last Updated: 8 hours ago

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