THE SHOCK WAVES FOR A MIXED-TYPE SYSTEM FROM CHEMOTAXIS  

作　　者：何芬 王振 陈停停 Fen HE;Zhen WANG;Tingting CHEN(Center for Mathematical Sciences and Department of Mathematics,Wuhan University of Technology,Wuhan 430070,China;School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China)

机构地区：[1]Center for Mathematical Sciences and Department of Mathematics,Wuhan University of Technology,Wuhan 430070,China [2]School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China

出　　处：《Acta Mathematica Scientia》2023年第4期1717-1734,共18页数学物理学报（B辑英文版）

基　　金：the National Natural Science Foundation of China(11771442)。

摘　　要：In this paper,we study the shock waves for a mixed-type system from chemotaxis.We are concerned with the jump conditions for the left state which is located in the elliptical region and the right state in the hyperbolic region.Under the generalized entropy conditions,we find that there are different shock wave structures for different parameters.To guarantee the uniqueness of the solutions,we obtain the admissible shock waves which satisfy the generalized entropy condition in both parameters.Finally,we construct the Riemann solutions in some solvable regions.

关 键 词：mixed-type shock waves entropy condition CHEMOTAXIS conservation laws 

分 类 号：O175[理学—数学]