Forward Discretely Self-similar Solutions of the MHD Equations and the Viscoelastic Navier-Stokes Equations with Damping

摘要

In this paper, we prove the existence of forward discretely self-similar solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping with large weak initial data. The same proving techniques are also applied to construct self-similar solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping with large weak initial data. This approach is based on Bradshaw and Tsai (Ann Henri Poincar, 18(3):1095-1119, 2017).