Ostwald-de Waele流体解的存在唯一性

Existence and Uniqueness of Solution for Ostwald-de Waele Fluid

讨论了一类带有非牛顿位势的等熵可压非牛顿流方程,该方程具有很强的非线性性,在允许初值真空的条件下,证明了该方程局部强解的存在唯一性.

We discuss a class of isentropic compressible non-Newtonian flow equations with non-Newtonian potential which have strong nonlinearity, and we prove the existence and uniqueness of local solutions to this equation while allowing an initial-valued vacuum.