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Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data

Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data

Consider a global well-posed problem for the incompressible Oldroyd-B model. It is shown that this set of equations admits a unique global solution provided the initial horizontal velocity $u^h_0$, the product $\omega u^d_0$ of the coupling parameter $\omega$ and initial vertical velocity $u^d_0$, and initial symmetric tensor of constraints $\tau_0$ …