论文标题
交叉扩散系统的收敛熵减少有限体积方案
A convergent entropy diminishing finite volume scheme for a cross-diffusion system
论文作者
论文摘要
我们研究了跨扩散系统的两点通量近似有限体积方案。该方案被证明可以保留连续系统的关键特性，其中包括熵的衰减。基于离散的熵耗散估计值的紧凑性能，该方案的收敛是建立的。数值结果说明了我们方案的行为。
We study a two-point flux approximation finite volume scheme for a cross-diffusion system. The scheme is shown to preserve the key properties of the continuous systems, among which the decay of the entropy. The convergence of the scheme is established thanks to compactness properties based on the discrete entropy - entropy dissipation estimate. Numerical results illustrate the behavior of our scheme.
