Details
| Original language | English |
|---|---|
| Pages (from-to) | 344-358 |
| Number of pages | 15 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 468 |
| Issue number | 1 |
| Publication status | Published - 2018 |
| Externally published | Yes |
Abstract
We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently regular nonnegative initial data and homogeneous Neumann boundary conditions. More precisely, the system considered is u t=Δu−∇⋅([Formula presented]∇v)−uw+κ−u,v t=Δv+uw−v,w t=Δw−w+v, with κ≥0, and solvability and boundedness of the solution are shown under the condition that {α>[Formula presented],if n=1α>[Formula presented]+[Formula presented],if 2≤n≤4α>[Formula presented],if n≥5.
Keywords
- Boundedness, Chemotaxis, Classical solvability, Virus infection model
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of Mathematical Analysis and Applications, Vol. 468, No. 1, 2018, p. 344-358.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Boundedness of solutions to a virus infection model with saturated chemotaxis
AU - Hu, Bingran
AU - Lankeit, J.
N1 - Publisher Copyright: © 2018 Elsevier Inc.
PY - 2018
Y1 - 2018
N2 - We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently regular nonnegative initial data and homogeneous Neumann boundary conditions. More precisely, the system considered is u t=Δu−∇⋅([Formula presented]∇v)−uw+κ−u,v t=Δv+uw−v,w t=Δw−w+v, with κ≥0, and solvability and boundedness of the solution are shown under the condition that {α>[Formula presented],if n=1α>[Formula presented]+[Formula presented],if 2≤n≤4α>[Formula presented],if n≥5.
AB - We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently regular nonnegative initial data and homogeneous Neumann boundary conditions. More precisely, the system considered is u t=Δu−∇⋅([Formula presented]∇v)−uw+κ−u,v t=Δv+uw−v,w t=Δw−w+v, with κ≥0, and solvability and boundedness of the solution are shown under the condition that {α>[Formula presented],if n=1α>[Formula presented]+[Formula presented],if 2≤n≤4α>[Formula presented],if n≥5.
KW - Boundedness
KW - Chemotaxis
KW - Classical solvability
KW - Virus infection model
UR - http://www.scopus.com/inward/record.url?scp=85051813896&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1711.01226
DO - 10.48550/arXiv.1711.01226
M3 - Article
VL - 468
SP - 344
EP - 358
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -