Uniqueness of Solutions to a Gas-Disk Interaction System

@article{Iatcenko2019UniquenessOS,
  title={Uniqueness of Solutions to a Gas-Disk Interaction System},
  author={A. Iatcenko and W. Sun},
  journal={Archive for Rational Mechanics and Analysis},
  year={2019},
  volume={235},
  pages={2027-2053}
}
  • A. Iatcenko, W. Sun
  • Published 2019
  • Mathematics
  • Archive for Rational Mechanics and Analysis
In this paper we give an elementary proof of the uniqueness of solutions to a gas-disk interaction system with diffusive boundary condition. The existence of near-equilibrium solutions for this type of system with various boundary conditions has been extensively studied in Aoki et al. (ESAIM:M2AN 42:26–275, 2008), Caprino et al. (Commun Math Phys 264: 167–189, 2006; Math Models Methods Appl Sci 17(9):1369–1403, 2007), Cavallaro (Rend Mat Ser VII 27:123–145, 2007), Chen and Strauss (Arch Ration… Expand

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