一类双曲椭圆混合型趋化模型的黎曼问题

Abstract

Abstract:

In this paper, we consider the Riemann problem for a system arising in chemotaxis. The system is of mixed type and transitions from a hyperbolic to an elliptic region. It is linearly degenerated along the $v$-axis. We obtain a solvable domain in the phase plane for the existence of Riemann solutions when the initial left and right states are in different regions. In particular, when the left state is fixed in the second quadrant and any right state is in the first quadrant, the initial value problem of this mixed-type system is Riemann solvable.

Key words: Chemotaxis, Riemann problem, Mixed-type system

CLC Number:

O175.29

He Fen, Wang Zhen. Riemann Problem for a Class of Mixed-type Chemotaxis Models[J].Acta mathematica scientia,Series A, 2024, 44(2): 354-360.

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Riemann Problem for a Class of Mixed-type Chemotaxis Models

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