Global Well-posedness for the 2-D Rotation-Strain Viscoelasticity in Critical Space

• 作 者: Chao Deng
• 机 构: XuzhouNormalUniversity
• 出 处: 2012 Nonlinear Evolutionary Partial differential Equations--
• 发表日期: 2012年6期

　　We prove the global well-posedness of the two-dimensional rotation-strain model in critical Besov space which was derived by Zhen Lei in [Arch.Rational.Mech.Anal.198.(2010),13-37] for the motion of incompressible viscoelastic materials via the polar decomposition of the deformation tensor.Our proof is based on an identity satisfied by the strain tensor and the weak dissipative structure of a subsystem of the rotation-strain viscoelasticity.This new identity enables us to avoid using the equation of the rotation angle.