L-stability of periodic stationary solutions of scalar convection-diffusion equations
نویسنده
چکیده
The aim of this paper is to study the L1-stability of periodic stationary solutions of scalar convection-diffusion equations. We obtain dispersion in L2 for all space dimensions using Kružkov type entropy. And when the space dimension is one, we estimate the number of sign changes of a solution to obtain L1-stability. Keyword : L-stability, periodic stationary solutions, entropy, dispersion inequality, lap number.
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