1 citations · 1 across the 5 of their papers we have counts for
5 papers
Density Collapse and Gradient Catastrophe in a One-Dimensional Euler--Poisson--Cattaneo System
Qingsong Zhao
We study finite-time singularity formation for a one-dimensional Euler--Poisson system in Lagrangian coordinates with Cattaneo heat conduction and quadratic heat-flux corrections i…
Gradient Catastrophe for Solutions to the Conservation Laws with Source Term
Qingsong Zhao
This paper studies singularity formation for conservation laws with a source term. Motivated by John (1974) and Barlin (2023), we prove finite-time blow-up under initial data condi…
Gradient Catastrophe for Solutions to the Hyperbolic Navier-Stokes Equations
Qingsong Zhao
This paper studies local existence and the singularity formation of the solutions of the one-dimensional hyperbolic Navier-Stokes equations, in particular proving the gradient blow…
Radially Symmetric Stationary Wave for Two-dimensional Burgers Equation
Huijiang Zhao, Qingsong Zhao
We are concerned with the radially symmetric stationary wave for the exterior problem of two-dimensional Burgers equation. A sufficient and necessary condition to guarantee the exi…
Asymptotics of Radially Symmetric Solutions for the Exterior Problem of Multidimensional Burgers Equation
Tong Yang, Huijiang Zhao, Qingsong Zhao
We are concerned with the large-time behavior of the radially symmetric solution for multidimensional Burgers equation on the exterior of a ball $\mathbb{B}_{r_0}(0)\subset \mathbb…