Remarks on Regularity Criteria for Harmonic Heat Flow and Related System

Remarks on the regularity criteria of three-dimensional magnetohydrodynamics system in terms of two velocity field components

Articles you may be interested in Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems Regularity criteria of weak solutions to the three-dimensional micropolar flows Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations We study the three-dimensional magnetohydrodynamics system and obtain its regularity criteria in terms of only t...

Notes on the regularity of harmonic map systems

In this note, we provide an alternative proof of C-regularity of continuous weak solutions to the system of harmonic map or heat flow of harmonic maps by Riesz potential estimates between Morrey spaces.

Existence and Partial Regularity Results for the Heat Flow for Harmonic Maps

Self - shrinkers of Mean Curvature Flow and Harmonic Map Heat Flow with Rough Boundary Data

In this thesis, first, joint with Longzhi Lin, we establish estimates for the harmonic map heat flow from the unit circle into a closed manifold, and use it to construct sweepouts with the following good property: each curve in the tightened sweepout, whose energy is close to the maximal energy of curves in the sweepout, is itself close to a closed geodesic. Second, we prove the uniqueness for ...

Experimental Investigation of Surface Roughness Effect on Flow Boiling in Internal Combustion Engine Water Jacket

The subjects of heat transfer and cooling system are very important topics in the Internal Combustion Engines (ICE). In modern cooling systems, low weight, small size and high compactness are the critical designing criteria that requires heat transfer enhancement. Boiling phenomenon which is occurred in the water jacket of the ICE is one of the methods to increase heat transfer in the coolant s...