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

Abstract

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 L3 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 L3 initial data. This approach is based on [Z. Bradshaw and T.-P. Tsai, Ann. Henri Poincar'e, vol. 18, no. 3, 1095-1119, 2017].

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