Existence of global solutions to chemotaxis fluid system with logistic source
We establish the existence of global solutions and L q time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method. We also study L q time-decay for the linear homogeneous system by using Fourier transform and...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Fourier-transzformáció, Kemotaxis rendszer |
| doi: | 10.14232/ejqtde.2021.1.53 |
| Online Access: | http://acta.bibl.u-szeged.hu/73705 |
| Tartalmi kivonat: | We establish the existence of global solutions and L q time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method. We also study L q time-decay for the linear homogeneous system by using Fourier transform and finding Green’s matrix. Then, we find L q time-decay for the nonlinear system using solution representation by Duhamel’s principle and time-weighted estimate. |
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| Terjedelem/Fizikai jellemzők: | 27 |
| ISSN: | 1417-3875 |