Results 161 to 170 of about 5,067 (215)

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

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
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

Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]

Math Ann
Poiatti A.
europepmc   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Mine fire emergency path planning based on hybrid strategy improved WOA algorithm. [PDF]

PLoS One
Qi Y, Yu K, Li X, Wang W, Cui X, Bai C.
europepmc   +1 more source

Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3331-3354, 10 June 2026.
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley   +1 more source

Multi-Strategy Improved Pelican Optimization Algorithm for Engineering Optimization Problems and 3D UAV Path Planning. [PDF]

Biomimetics (Basel)
Zhang M, Luo M, Kang H.
europepmc   +1 more source

Numerical Modeling of the Thermo‐Mechanical and Electrical Behavior of a Sensor‐Integrating Jaw Coupling

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Industry 4.0 requires more and more data from the production process, for example, on transmitted forces, torques and wear, in order to reduce expensive downtimes and to increase productivity. Direct or indirect methods can be used to collect this data.
Johannes D.M. Menning, Arthur Ewert, Artem Prokopchuk, Berthold Schlecht, E.‐F. Markus Vorrath, Thomas Wallmersperger   +5 more
wiley   +1 more source

Hawking's Singularity Theorem for Lipschitz Lorentzian Metrics. [PDF]

Commun Math Phys
Calisti M, Graf M, Hafemann E, Kunzinger M, Steinbauer R.   +4 more
europepmc   +1 more source

Physics‐Informed Recurrent Neural Networks for Predicting Elasto‐Plastic Behavior in Hierarchical Finite Element Modeling

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Nanoporous gold, with its hierarchical structure comprising interconnected networks on multiple length scales, poses significant computational challenges for traditional modeling methods. To solve this challenge, this study introduces a physics‐informed recurrent neural network (RNN) to model the homogenized material response of a diamond beam‐
Lena Dyckhoff, Norbert Huber
wiley   +1 more source

Fault Detection Approach of Cyclotron Ion Sources Based on KPCA-ISSA-SVM. [PDF]

Sensors (Basel)
Li Y, Liu Y, Guan F, Zhang H, Hou S, Huang P, Nong Z.   +6 more
europepmc   +1 more source