论文标题
关于使用补偿的紧凑性和动力学配方的准线性粘性近似的收敛性
On the convergence of quasilinear viscous approximations using compensated compactness and Kinetic Formulation
论文作者
论文摘要
我们使用补偿紧凑性和KINTEIC配方的方法表明，绝对粘性近似值的几乎所有限制是对相应标量保护法的独特熵解决方案（从{\ it F. otto}的意义上） $ \ varepsilon \，div \ left（b（u^{\ varepsilon}）\ nabla u^{\ varepsilon} \ right）$。
We use the method of Compensated Compactness and Kinteic Formulation to show that the almost everywhere limit of quasilinear viscous approximations is the unique entropy solution (in the sense of {\it F. Otto}) of the corresponding scalar conservation laws on a bounded domain in $\mathbb{R}^{d}$, where the viscous term is of the form $\varepsilon\,div\left(B(u^{\varepsilon})\nabla u^{\varepsilon}\right)$.
