This open access book deals with a rich variety of taxis-type cross-diffusive equations. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.
Chapter 1. Large time behavior of solutions to the chemotaxis-fluid.- Chapter 2. Global existence in Keller--Segel-- Navier--Stokes system involving tensor-valued sensitivity.- Chapter 3. Large time behavior of solutions to chemotaxis--haptotaxis models.- Chapter 4. Large time behavior of Keller--Segel--(Navier)--Stokes system modeling coral fertilization.- Chapter 5. Qualitative properties to density-suppressed motility models.- Chapter 6. Large time behavior of multi-taxis cross-diffusion system.
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