Article Contents
Article Contents

# A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations

• This paper is devoted to the error estimate of approximate solutions for non-autonomous degenerate parabolic-hyperbolic equations, where the nonlinear convection flux, the diffusion matrix and source term depend on time $t$ explicitly. Our method is based on kinetic formulation and kinetic entropy formula. By developing the kinetic techniques, we obtain an error estimate of order $O(\sqrt{\mu})$, where $\mu$ is the artificial viscosity.
Mathematics Subject Classification: Primary: 35B30, 35B51, 35K65; Secondary: 35B35.

 Citation:

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