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Global classical solutions to compressible Navier-Stokes equations with vacuum

In this talk, we will introduce the progress about the global classical solution of compressible Navier-stokes equations with vacuum, which includes the results on cases of one dimension, spherical symmetry in multi-dimensions, and multi-dimensions. Our main results show that the classical solution exists globally in time if the initial mass is small. This is a joint work with Huanyao Wen.


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Lingbing He