44 citations · 293 across the 28 of their papers we have counts for
28 papers
Shape Coherence and Finite-Time Curvature Evolution
Tian Ma, Erik Bollt
We introduce a definition of finite-time curvature evolution along with our recent study on shape coherence in nonautonomous dynamical systems. Comparing to slow evolving curvature…
A predicable condition for boundary layer separation of 2-D incompressible fluid flows
Hong Luo, Quan Wang, Tian Ma
In this paper, the solutions of Navier-Stokes equations with Dirichlet boundary conditions governing 2-D incompressible fluid flows are considered. A condition for boundary layer s…
Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Non-hyperbolic Splitting
Tian Ma, Erik Bollt
Mixing, and coherence are fundamental issues at the heart of understanding transport in fluid dynamics and other non-autonomous dynamical systems. Recently, the notion of coherence…
Unified Field Theory and Principle of Representation Invariance
Tian Ma, Shouhong Wang
This article consists of two parts. The main objectives of Part 1 are to postulate a new principle of representation invariance (PRI), and to refine the unified field model of four…
Unified Field Equations Coupling Four Forces and Principle of Interaction Dynamics
Tian Ma, Shouhong Wang
The main objective of this article is to postulate a principle of interaction dynamics (PID) and to derive unified field equations coupling the four fundamental interactions based…
Gravitational Field Equations and Theory of Dark Matter and Dark Energy
Tian Ma, Shouhong Wang
The main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitatio…