In this paper,we are interested in a free boundary problem for a chemo-taxis model with double free boundaries.We use contraction mapping principle and operator-theoretic approach to establish local solvability of a c...In this paper,we are interested in a free boundary problem for a chemo-taxis model with double free boundaries.We use contraction mapping principle and operator-theoretic approach to establish local solvability of a chemotaxis system in 1-Dimensional domain with non-constant coefficient free boundaries.展开更多
基金supported by the National Nature Science Foundation of China(Grant No.12101377)the Nature Science Foundation of Shanxi Province(Grant No.20210302124080)the special fund for Science and Technology Innovation Teams of Shanxi Province(Grant No.202204051002015).
文摘In this paper,we are interested in a free boundary problem for a chemo-taxis model with double free boundaries.We use contraction mapping principle and operator-theoretic approach to establish local solvability of a chemotaxis system in 1-Dimensional domain with non-constant coefficient free boundaries.