[图书][B] Phase transition dynamics
T Ma, S Wang - 2014 - Springer
Transitions are to be found throughout the natural world. The laws of nature are usually
represented by differential equations, which can be regarded as dynamical systems—both …
represented by differential equations, which can be regarded as dynamical systems—both …
Geophysical Fluid Dynamics and Climate Dynamics
T Ma, S Wang, T Ma, S Wang - Phase Transition Dynamics, 2014 - Springer
Our Earth's atmosphere and oceans are rotating geophysical fluids that are two important
components of the planet's climate system. The atmosphere and the oceans are extremely …
components of the planet's climate system. The atmosphere and the oceans are extremely …
Transitions of spherical thermohaline circulation to multiple equilibria
The main aim of the paper is to investigate the transitions of the thermohaline circulation in a
spherical shell in a parameter regime which only allows transitions to multiple equilibria. We …
spherical shell in a parameter regime which only allows transitions to multiple equilibria. We …
Singular limit in Hopf bifurcation for doubly diffusive convection equations I: linearized analysis at criticality
CH Hsia, Y Kagei, T Nishida, Y Teramoto - Journal of Mathematical Fluid …, 2021 - Springer
A singularly perturbed system for doubly diffusive convection equations, called the artificial
compressible system, is considered on a two-dimensional infinite layer for a parameters …
compressible system, is considered on a two-dimensional infinite layer for a parameters …
Singular limit in Hopf bifurcation for doubly diffusive convection equations II: bifurcation and stability
A singular perturbation problem from the artificial compressible system to the incompressible
system is considered for a doubly diffusive convection when a Hopf bifurcation from the …
system is considered for a doubly diffusive convection when a Hopf bifurcation from the …
On the mathematical analysis of the artificial compressibility method
Y Kagei - Partial Differential Equations and Applications, 2021 - Springer
Recent results on the stability of bifurcating solutions of the artificial compressible system
with small artificial Mach numbers are reviewed. A perturbation result on the spectrum of …
with small artificial Mach numbers are reviewed. A perturbation result on the spectrum of …