跳噪声扰动下人工压缩Navier-Stokes方程解的适定性

Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise

为了克服不可压约束条件数值计算困难,引入人工压缩方法,利用Lévy型伊藤公式、一致先验估计、局部单调性和弱收敛方法,由经典的Minty-Browder方法得到人工压缩Navier-Stokes方程强解的存在唯一性.

For the difficulty of numerical calculation under incompressible constraints,the artificial compression method is introduced.With Lévy Ito formula,uniform a priori estimation,local monotonicity and weak convergence method,the existence and uniqueness of strong solutions of the artificial compression Navier-Stokes equation is obtained by the classical Minty-Browder method.