Results 21 to 30 of about 3,690 (92)
ABSTRACT In this study, we introduce a novel methodology for finite strain electromechanics that effectively addresses the incompressible limit. The primary innovation of this work is the first‐time application of robust and accurate stabilized mixed formulations, previously developed by the authors for hyperelasticity, within the realm of ...
Inocencio Castañar +3 more
wiley +1 more source
Q-conditional symmetries (nonclassical symmetries) for a general class of two-component reaction-diffusion systems with constant diffusivities are studied. Using the recently introduced notion of Q-conditional symmetries of the first type (R. Cherniha J.
AG Nikitin +24 more
core +1 more source
A novel bio‐based hydrogel was developed using Mallotus philippensis extract, Lucast bean gum, and chitosan for controlled levofloxacin release. The hydrogel exhibited excellent swelling behavior, antimicrobial activity, and pH‐responsive drug release, demonstrating its potential for advanced wound healing and targeted drug delivery applications ...
Sehrish Jabeen +3 more
wiley +1 more source
Determining whether two Petri nets are equivalent is an interesting problem from both practical and theoretical standpoints. Although it is undecidable in the general case, for many interesting nets the equivalence problem is solvable.
Sidwell, Richard D.
core +1 more source
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Global pointwise decay estimates for defocusing radial nonlinear wave equations
We prove global pointwise decay estimates for a class of defocusing semilinear wave equations in $n=3$ dimensions restricted to spherical symmetry. The technique is based on a conformal transformation and a suitable choice of the mapping adjusted to the ...
Hörmander L. +5 more
core +1 more source
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
wiley +1 more source
Geometry of free cyclic submodules over ternions
Given the algebra $T$ of ternions (upper triangular $2\times 2$ matrices) over a commutative field $F$ we consider as set of points of a projective line over $T$ the set of all free cyclic submodules of $T^2$.
Havlicek, Hans +2 more
core +1 more source
ABSTRACT We consider reaction–diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, colored in space, and invariant under translations. Inspired by previous works on the real line, we establish the multidimensional stability of planar waves on a cylindrical domain on timescales ...
M. van den Bosch, H. J. Hupkes
wiley +1 more source
Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
wiley +1 more source

