Global large, smooth solutions of the 2D surface quasi‐geostrophic equations
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DOI: 10.1002/mma.7392
Abstract: In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily… read more here.
Keywords: surface quasi; large smooth; smooth solutions; global large ... See more keywords
Global Large Solutions to the 3-D Generalized Incompressible Navier–Stokes Equations
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DOI: 10.1007/s40840-020-01051-1
Abstract: In this paper, we prove the global well-posedness of the 3-D generalized incompressible Navier–Stokes equations in critical Besov spaces under a polynomial smallness assumption on the initial data. Moreover, we construct a class of initial… read more here.
Keywords: stokes equations; generalized incompressible; global large; incompressible navier ... See more keywords
Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity
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DOI: 10.1186/s13661-019-1275-0
Abstract: This paper is concerned with global existence of large solutions to the initial-boundary value problem of the planar magnetohydrodynamic compressible flow. Under the assumptions that viscosity and heat conductivity coefficients are constants, magnetic diffusion is… read more here.
Keywords: heat conductivity; magnetohydrodynamics; global large; large solutions ... See more keywords