Article Contents
Article Contents

# Strong solutions to compressible barotropic viscoelastic flow with vacuum

• We consider strong solutions to compressible barotropic viscoelastic flow in a domain $\Omega\subset\mathbb{R}^{3}$ and prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Inspired by the work of Kato and Lax, we use the contraction mapping principle to get the result.
Mathematics Subject Classification: Primary: 35Q35, 76A10, 76N10.

 Citation:

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