Kavli Affiliate: Yi Zhou | First 5 Authors: Zexian Zhang, Yi Zhou, , , | Summary: We identify the wave maps type nonlinearities of incompressible Hookean elastodynamics euqations in Lagerangian coordinates, and iterate them in the adapted $U^2$-type spaces to prove the small data global well-posedness in the critical Besov space $dot{B}^{frac{n}{2}+1}_{2,1}(mathbb{R}^n)times dot{B}^{frac{n}{2}}_{2,1}(mathbb{R}^n) (nge 2)$. […]
Continue.. Global Well-posedness for Incompressible Hookean Elastodynamics in the Critical Besov Spaces