8 papers · 1 filter
Failure of analyticity-radius growth in energy-canceling fluid models
Ke Chen, Haina Li, Quoc-Hung Nguyen +1
We prove that exact quadratic energy cancellation alone does not force growth of the spatial analyticity radius. On , we construct an explicit symmetric, translation-…
Sharp decay characterization for partially dissipative hyperbolic systems of balance laws
Ling-Yun Shou, Jiang Xu, Ping Zhang
The partially dissipative systems that characterize many physical phenomena were first pointed out by Godunov (1961), then investigated by Friedrichs-Lax (1971) who introduced the…
Global well-posedness of 3-D density-dependent incompressible MHD equations with variable resistivity
Hammadi Abidi, Guilong Gui, Ping Zhang
In this paper, we investigate the global existence of weak solutions to 3-D inhomogeneous incompressible MHD equations with variable viscosity and resistivity, which is sufficientl…
Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces
Ruilin Hu, Phuoc-Tai Nguyen, Quoc-Hung Nguyen +1
Building on Tao's quantitative regularity theory and triple-logarithmic blow-up estimate in in \cite{Tao_20}, we consider classical solutions of the three-dimensional…
On the refined analyticity radius of 3-D generalized Navier-Stokes equations
Dong Li, Ping Zhang
We analyze the instantaneous growth of analyticity radius for three dimensional generalized Navier-Stokes equations. For the subcritical case with w…
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces
Hammadi Abidi, Guilong Gui, Ping Zhang
In this paper, we establish the global existence and uniqueness of solution to -D inhomogeneous incompressible Navier-Stokes equations \eqref{1.2} with initial data in the criti…