Abstract
We prove the uniqueness of Hölder 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, which seems to be of independent interest.
Original language | English |
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Pages (from-to) | 5360-5387 |
Number of pages | 28 |
Journal | Journal of Differential Equations |
Volume | 264 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2018 Apr 15 |
Bibliographical note
Funding Information:S. Kim was supported by NRF-20151009350.
Funding Information:
H. Bae was supported by NRF-2015R1D1A1A01058892.
Funding Information:
K. Kang was supported by NRF-2017R1A2B4006484 and NRF-20151009350.
Publisher Copyright:
© 2018 Elsevier Inc.
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics