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20112021
most citedGlobal well-posedness and zero-diffusion limit of classical solutions to the 3D conservation laws arising in chemotaxis

39 citations · 99 across the 28 of their papers we have counts for

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Showing 2011Show all

9 papers · 1 filter

math.AP2011★ 3 cited

Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum

Huanyao Wen, Changjiang Zhu

In the paper, we establish a blow-up criterion in terms of the integrability of the density for strong solutions to the Cauchy problem of compressible isentropic Navier-Stokes equa…

math.AP2011

Convergence Rate of Zero Viscosity Limit on Large Amplitude Solution to a Conservation Laws Arising in Chemotaxis

Hongyun Peng, Lizhi Ruan, Changjiang Zhu

In this paper, we investigate large amplitude solutions to a system of conservation laws which is transformed, by a change of variable, from the well-known Keller-Segel model descr…

math.AP2011★ 20 cited

Convergence Rates to Stationary Solutions of a Gas-liquid Model with External Forces and Vacuum

Long Fan, Qingqing Liu, Changjiang Zhu

In this paper, we study the asymptotic behavior of solutions to a Gas-liquid model with external forces and general pressure law. Under some suitable assumptions on the initial dat…

math.AP2011★ 12 cited

Global symmetric classical and strong solutions of the full compressible Navier-Stokes equations with vacuum and large initial data

Huanyao Wen, Changjiang Zhu

First of all, we get the global existence of classical and strong solutions of the full compressible Navier-Stokes equations in three space dimensions with initial data which is la…

math.AP2011

Optimal Decay Rates to Conservation Laws with Diffusion-Type Terms of Regularity-gain and Regularity-loss

Renjun Duan, Lizhi Ruan, Changjiang Zhu

We consider the Cauchy problem on nonlinear scalar conservation laws with a diffusion-type source term related to an index over the whole space for any spatial dim…

math.AP2011★ 7 cited

Global Classical Large Solutions to Navier-Stokes Equations for Viscous Compressible and Heat Conducting Fluids with Vacuum

Huanyao Wen, Changjiang Zhu

In this paper, we consider the 1D Navier-Stokes equations for viscous compressible and heat conducting fluids (i.e., the full Navier-Stokes equations). We get a unique global class…