
doi: 10.1002/mma.3240
This paper deals with a fully parabolic attraction–repulsion chemotaxis system in two‐dimensional smoothly bounded domains. It is shown that the system admits global bounded classical solutions whenever the repulsion is dominated. The proof is based on an entropy‐like inequality and coupled estimate techniques. Copyright © 2014 John Wiley & Sons, Ltd.
a priori estimates, PDEs in connection with biology, chemistry and other natural sciences, Cell movement (chemotaxis, etc.), attraction-repulsion, Nonlinear parabolic equations, entropy inequality, chemotaxis, boundedness, PDEs in connection with fluid mechanics
a priori estimates, PDEs in connection with biology, chemistry and other natural sciences, Cell movement (chemotaxis, etc.), attraction-repulsion, Nonlinear parabolic equations, entropy inequality, chemotaxis, boundedness, PDEs in connection with fluid mechanics
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