Local Strong Solution to the Compressible Viscoelastic Fluid with Large Data

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

The existence and uniqueness of local in time strong solution with large
initial data for the three-dimensional compressible viscoelastic fluid is
established. The strong solution has weaker regularity than the classical
solution. The Lax-Milgram theorem and the Schauder-Tychonoff fixed-point
argument are applied.

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