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- Bae, Hantaek
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Uniqueness of Solutions for Keller-Segel System of Porous Medium Type Coupled to Fluid Equations
- Author(s)
- Bae, Hantaek, Kang, Kyungkeun, Kim, Seick
- Issued Date
- 2018-10-05
- Citation
- 2018 Joint Meeting of the KMS and DMV, Chemotactic and Fluid Dynamics
- Abstract
- We prove the uniqueness of H\"older continuous weak solutions via duality argument and vanishing viscosity method for the Keller-Segel system of porous medium type equations coupled to the Stokes system in dimensions three. An important step is the estimate of the Green function of parabolic equations with lower order terms of variable coefficients.
- Publisher
- Korean Mathematical Society
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