Results 31 to 40 of about 8,278 (131)

An Optimal Model Identification For Oscillatory Dynamics With a Stable Limit Cycle

, 2013
We propose a general framework for parameter-free identification of a class of dynamical systems. Here, the propagator is approximated in terms of an arbitrary function of the state, in contrast to a polynomial or Galerkin expansion used in traditional ...
Morzynski, Marek, Noack, Bernd R., Protas, Bartosz   +2 more
core   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Superradiant scattering in fluids of light

, 2019
We theoretically investigate the scattering process of Bogoliubov excitations on a rotating photon-fluid. Using the language of Noether currents we demonstrate the occurrence of a resonant amplification phenomenon, which reduces to the standard ...
Faccio, Daniele, Maitland, Calum, Marino, Francesco, Prain, Angus   +3 more
core   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

A Dimension-Adaptive Multi-Index Monte Carlo Method Applied to a Model of a Heat Exchanger

, 2017
We present an adaptive version of the Multi-Index Monte Carlo method, introduced by Haji-Ali, Nobile and Tempone (2016), for simulating PDEs with coefficients that are random fields.
A Barth, A Chkifa, AL Haji-Ali, AL Haji-Ali, AL Haji-Ali, D Xiu, D Xiu, GJ Lord, HJ Bungartz, IG Graham, J Dick, KA Cliffe, M Griebel, MB Giles, MB Giles, N Collier, OL Maître Le, Pieterjan Robbe, RG Ghanem, T Gerstner   +19 more
core   +1 more source

Quantifying the Effects of Spatial Inhomogeneity in an Autoclave LDPE Reactor Using CFD

Macromolecular Reaction Engineering, EarlyView.
A CFD simulation incorporating rigorous polymerization chemistry into a plant‐scale sliding mesh reactor with multiple PID controllers revealed axial flow patterns that segment the reactor into smaller compartments with different properties. More evident differences exist between the mixture within the agitator shaft swept volume and that outside of ...
Elijah Yoder, Wayne Strasser
wiley   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Why more physics can help achieving better mathematics

, 2017
In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view.
Eikmeier, André, Emmrich, Etienne, Schöll, Eckehard   +2 more
core   +1 more source

Non‐canonical PKG1 regulation in cardiovascular health and disease

British Journal of Pharmacology, EarlyView.
It is well established that the cyclic GMP‐dependent protein kinase I (PKG1) is canonically activated by cyclic guanosine monophosphate (cGMP), enabling its regulation of vascular tone, cardiac function and smooth muscle homeostasis. However, diverse non‐canonical stimuli of PKG1 have also been identified.
Jie Su, Joseph Robert Burgoyne
wiley   +1 more source