Global Boundedness of an Alarm–Taxis System With Nonlinear Diffusion
Copyright policy )Global Boundedness of an Alarm–Taxis System With Nonlinear Diffusion
ABSTRACTIn this paper, we study an alarm–taxis system with nonlinear diffusion . We consider this problem in a bounded domain with Neumann boundary conditions. By the complex coupling energy estimates based on the Neumann semigroup smoothing properties, we establish the existence of globally bounded weak solutions for any .
- Jilin University China (People's Republic of)
Quasilinear parabolic equations, global boundedness, PDEs in connection with biology, chemistry and other natural sciences, Cell movement (chemotaxis, etc.), existence, Existence problems for PDEs: global existence, local existence, non-existence, nonlinear diffusion, alarm-taxis
Quasilinear parabolic equations, global boundedness, PDEs in connection with biology, chemistry and other natural sciences, Cell movement (chemotaxis, etc.), existence, Existence problems for PDEs: global existence, local existence, non-existence, nonlinear diffusion, alarm-taxis
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