An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

作者：Fiedler B^*; Grotta Ragazzo C; Rocha C

来源：Russian Mathematical Surveys, 2014, 69(3): 419-433.

DOI：10.1070/RM2014v069n03ABEH004897

• partial differential equations
• variational methods
• convection
• energy functional
• advection
• reaction-diffusion equations
• periodic boundary conditions

An explicit Lyapunov function is constructed for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. The non-linearity is assumed to be even with respect to the advection term. The method followed was originally suggested by H. Matano for, and limited to, separated boundary conditions.

• 出版日期2014