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Solutions with compact support to the Cauchy problem of an equation modeling the motion of viscous droplets

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Abstract

The Cauchy problem to an equation arising in modeling the motion of viscous droplets is studied in the present paper. The authors prove that if the initial data has compact support, then there exists a weak solution which has compact support for all the time.

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Yin, J., Gao, W. Solutions with compact support to the Cauchy problem of an equation modeling the motion of viscous droplets. Z. angew. Math. Phys. 47, 659–671 (1996). https://doi.org/10.1007/BF00915268

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Mathematics Subject Classification (1991)

  • 35B05
  • 35G25
  • 35K55
  • 35K65

Keywords

  • Cauchy problem
  • compact support
  • finite speed of propagation
  • viscous droplets