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20052021
most citedWeighted Strichartz Estimates with Angular Regularity and their Applications

97 citations · 440 across the 39 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

math.AP2011★ 2 cited

A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows

Daoyuan Fang, Ruizhao Zi, Ting Zhang

We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial va…

math.AP2011★ 2 cited

Decay Estimates for Isentropic Compressible Navier-Stokes Equations in Bounded Domain

Daoyuan Fang, Ruizhao Zi, Ting Zhang

In this paper, under the hypothesis that is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible Navier-Stokes equations and show…

math.AP2011★ 12 cited

Global well-posedness for the incompressible viscoelastic fluids in the critical framework

Ting Zhang, Daoyuan Fang

We investigate global strong solutions for the incompressible viscoelastic system of Oldroyd--B type with the initial data close to a stable equilibrium. We obtain the existence an…

math.AP2011★ 10 cited

Global existence in critical spaces for incompressible viscoelastic fluids

Ting Zhang, Daoyuan Fang

We investigate local and global strong solutions for the incompressible viscoelastic system of Oldroyd--B type. We obtain the existence and uniqueness of a solution in a functional…

math.AP2011★ 6 cited

Scattering for the focusing energy-subcritical NLS

Daoyuan Fang, Jian Xie, Thierry Cazenave

For the 3D focusing cubic nonlinear Schrodinger equation, Scattering of solutions inside the (scale invariant) potential well was established by Holmer and Roudenko~\cite{HR2…