Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]
Ullah Z, Hao J, Thabet STM, Moulahi T.
europepmc +1 more source
Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
wiley +1 more source
Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Poiatti A.
europepmc +1 more source
Toward Dynamic Phase‐Field Fracture at Finite Strains
ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
wiley +1 more source
Materials Informatics Framework for Accelerated Discovery of High-Refractive-Index 2D Materials. [PDF]
Klimova LA +6 more
europepmc +1 more source
Variational Modeling of Porosity Waves
ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley +1 more source
A PINN-driven game-theoretic framework in limited data photoacoustic tomography. [PDF]
Roy S, Pal S.
europepmc +1 more source
Physics‐Based Machine Learning for Modeling Cyclic Damage Evolution
ABSTRACT Accurate modeling of cyclic damage evolution is essential for predicting the long‐term performance and durability of engineering materials and structures. Traditional simulation‐based approaches, while physically rigorous, are computationally expensive, especially under complex loading histories.
Elsayed S. Elsayed +2 more
wiley +1 more source
The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
Demongeot J, Hillen T, Ruan S, Webb G.
europepmc +1 more source

