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Phase Boundaries.pdf

2014-020.pdf
Preview of Phase Boundaries
🔗 Source: f08.uni-stuttgart.de
📊 Size: 709 KB
📄 Pages: 24 pages
⬇️ Downloads: 134

Summary

The persistence of subsonic phase boundaries in a multidimensional Van der Waals fluid is analyzed, with the phase boundary considered as a sharp free boundary connecting liquid and vapor bulk phase dynamics given by the isothermal Euler equations, driven by configurational forces and surface tension. A global existence theorem for the linearized system with constant coefficients is shown, relying on normal mode analysis and a linear form in suitable spaces, with the associated adjoint problem satisfying the uniform backward in time Kreiss-Lopatinski condition, leading to a new energy-like estimate that includes surface energy terms, ensuring uniqueness and regularity for the solutions in weighted spaces.

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Description

The persistence of subsonic phase boundaries in a multidimensional Van der Waals fluid is analyzed, with the phase boundary considered as a sharp free boundary...

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  • File Format: PDF
  • File Size: 709 KB
  • Pages: 24
  • Language: EN
  • Total Downloads: 134
  • Last Updated: 2 weeks ago

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