To overcome the nonlinear parametric problem of the dynamics of FFSMs, we introduce a new regressor matrix called the generalized dynamic regressor.
We present a fluctuating hydrodynamics approach and a hybrid approach combining fluctuating hydrodynamics with generalized Langevin dynamics to resolve the motion of a nanocarrier when subject to both hydrodynamic interactions and adhesive interactions.
The success in using the GP, short for the generalized particle dynamics method (Fan, 2009), with the cohesive zone method (CZM) to bridge crack propagation at the atomistic and mesoscopic scale (Xu et al., 2016) brings more attention to its central issue: simulation accuracy of crack-tip parameters.
In this paper, we propose a new generalized virus dynamics model, which incorporates both modes and takes into account the cure of infected cells.
Motivated by the mentioned biological and mathematical considerations, we propose the following generalized virus dynamics model with two transmission modes and cure rate: left { textstylebegin{array}{l} dot{x} = lambda-dx-f x,y,v)v-g(x,y)y+rho y, dot{y} = f(x,y,v)v+g(x,y)y-(a+rho)y, dot{v} = ky-uv, end{array}displambda-dx-f xt.
The hybrid multiscale method bridging the atomistic and mesoscopic scale is proposed in the current study, which combines the concurrent generalized particle (GP) dynamics method and the bottom-up hierarchical cohesive zone model (CZM) with embedded traction separation law.
Can disciplinary integration can be abstracted and generalized beyond Newtonian dynamics to other core topics?
This paper considers the state estimation problem for a class of discrete-time systems with generalized Lipschitz nonlinear dynamics.
In Section 2, we first clarify the physically relevant region for the system of generalized Chaplygin gas dynamics, then we deduce the classical wave curves.
Under the proposed generalized framework, the dynamics of a mass point were equivalent to those of equilibrium thermodynamics, enabling the derivation of a thermodynamic analogue of mass point dynamics.
