Global Strong Solution to the Density-dependent Incompressible Viscoelastic Fluids
نویسندگان
چکیده
The existence and uniqueness of the global strong solution with small initial data to the three-dimensional density-dependent incompressible viscoelastic fluids is established. The local existence and uniqueness of the global strong solution with small initial data to the three-dimensional compressible viscoelastic fluids is also obtained. A new method is developed to estimate the solution with weak regularity. Moreover, as a byproduct, we show the global existence and uniqueness of strong solution to the densitydependent incompressible Navier-Stokes equations using a different technique from [8]. All the results apply to the two-dimensional case.
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