Algebraic L2-decay of weak solutions to the magneto-hydrodynamic equations

Publication date: December 2019Source: Nonlinear Analysis: Real World Applications, Volume 50Author(s): Zhaoxia LiuAbstractWe consider the asymptotic behavior of weak solutions to the incompressible magneto-hydrodynamics (MHD) equations in the whole space Rn, n≥2. The algebraic decay of the total energy of weak solutions to Cauchy problem of MHD equations is given by establishing an important inequality on weak solutions of MHD equations.

Source: Nonlinear Analysis: Real World Applications - May 23, 2019 Category: Research Source Type: research