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math.AP2014
Representation of Dissipative Solutions to a Nonlinear Variational Wave Equation
Alberto Bressan, Tao Huang
The paper introduces a new way to construct dissipative solutions to a second order variational wave equation. By a variable transformation, from the nonlinear PDE one obtains a se…
math.AP2014
Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystals
Tao Huang
In this paper, we establish an -regularity criterion for any weak solution to the nematic liquid crystal flow (1.1) such that for some $p\ge…