Stability of Partially Congested Travelling Wave Solutions for the Dissipative Aw-Rascle System [0.03%]
耗散Aw-Rascle系统的部分拥堵行波解的稳定性分析
É Deléage,Muhammed Ali Mehmood
É Deléage
We prove the non-linear stability of a class of travelling-wave solutions to the dissipative Aw-Rascle system with a singular offset function, which is formally equivalent to the compressible pressureless Navier-Stokes system with a singula...
On the Modeling of Nonlinear Wind-Induced Ice-Drift Ocean Currents at the North Pole [0.03%]
北极非线性风生冰漂海洋流的建模研究
Christian Puntini
Christian Puntini
Starting from the governing equations for geophysical flows, by means of a thin-shell approximation and a tangent plane approximation, we derive the equations describing, at leading order, the nonlinear ice-drift flow for regions centered a...
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier-Stokes Equations Modeling Vascular Network Formation [0.03%]
化学趋向性可压缩Navier-Stokes方程组解的整体存在性和弱强唯一性(英文)
Xiaokai Huo,Ansgar Jüngel
Xiaokai Huo
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier-Stokes equations for the density of the endothelial cells and their velocity, coupled to a reaction-diffusion equation for the conc...
David Henry
David Henry
Exact solutions to the governing equations for atmospheric motion are derived which model nonlinear gravity wave propagation superimposed on atmospheric currents. Solutions are explicitly prescribed in terms of a Lagrangian formulation, whi...
SPATIAL BEHAVIOUR OF SOLUTIONS OF THE MOORE-GIBSON-THOMPSON EQUATION [0.03%]
Moore-Gibson-Thompson方程解的时空行为分析
M Ostoja-Starzewski,R Quintanilla
M Ostoja-Starzewski
In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the...
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3 D Primitive Equations [0.03%]
关于快速旋转和垂直粘性对三维原始方程寿命的影响
Quyuan Lin,Xin Liu,Edriss S Titi
Quyuan Lin
We study the effect of the fast rotation and vertical viscosity on the lifespan of solutions to the three-dimensional primitive equations (also known as the hydrostatic Navier-Stokes equations) with impermeable and stress-free boundary cond...
Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem [0.03%]
三维非线性水波问题的几个显式解
Calin I Martin
Calin I Martin
We present some explicit solutions (given in Eulerian coordinates) to the three-dimensional nonlinear water wave problem. The velocity field of some of the solutions exhibits a non-constant vorticity vector. An added bonus of the solutions ...
Paolo Maremonti
Paolo Maremonti
Vladimir Kozlov; Nikolay Kuznetsov
Vladimir Kozlov; Nikolay Kuznetsov
Michael Renardy
Michael Renardy