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Two-Phase Flows.pdf

preprint2005_120.pdf
Preview of Two-Phase Flows
🔗 Source: files-www.mis.mpg.de
📊 Size: 421 KB
📄 Pages: 43 pages
⬇️ Downloads: 76

Summary

The existence of generalized solutions of two-phase flows for viscous incompressible fluids is discussed, with and without surface tension, in a domain. Without surface tension, weak solutions exist, but little is known about the interface. With surface tension, energy estimates provide an a priori bound on the interface, but weak solution existence is open due to possible oscillation and concentration effects. Measure-valued varifold solutions are introduced, modeling the interface as an oriented general varifold, and their existence is shown. These solutions are weak solutions if an energy equality is satisfied.

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Description

The existence of generalized solutions of two-phase flows for viscous incompressible fluids is discussed, with and without surface tension, in a domain.

Technical Information

  • File Format: PDF
  • File Size: 421 KB
  • Pages: 43
  • Language: EN
  • Total Downloads: 76
  • Last Updated: 3 weeks ago

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