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Traveling wave solutions in advection hyperbolic-parabolic system with nonlocal delay

  • * Corresponding author: Jianhua Huang

    * Corresponding author: Jianhua Huang 
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  • This paper is concerned with a class of advection hyperbolic-parabolic systems with nonlocal delay. We prove that the wave profile is described by a hybrid system that consists of an integral transformation and an ordinary differential equation. By considering the same problem for a properly parameterized system and the continuous dependence of the wave speed on the parameter involved, we obtain the existence and uniqueness of traveling wave solutions in advection hyperbolic-parabolic system with nonlocal delay under bistable assumption. The influence of advection on the propagation speed is also considered.

    Mathematics Subject Classification: Primary: 35R09, 35K46, 58D25.


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