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Fuel cells, batteries, thermochemical and other energy conversion devices involve the transport of a number of (electro-)chemical species through distinct materials so that they can meet and react at specified multi-material interfaces.…

Analysis of PDEs · Mathematics 2017-02-02 Lincoln Collins , Kaushik Bhattacharya

Recently, bacterial nanocellulose (BNC), a biological material produced by non-pathogenic bacteria that possesses excellent material properties for various medical applications, has received increased interest as a carrier system for drug…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Sebastian Lotter , Marco Seiter , Maryam Pirmoradi , Lukas Brand , Dagmar Fischer , Robert Schober

Fluid stretching in porous media governs the mixing of reactants, contaminants, and nutrients, yet how the solid microstructure controls the stretching statistics remains poorly understood. We investigate how porous-medium heterogeneity…

Fluid Dynamics · Physics 2026-04-06 J. Kevin Pierce , Tanguy Le Borgne , Francois Renard , Gaute Linga

This work presents a novel family of well-balanced numerical schemes for hyperbolic systems of balance laws based on the kinetic relaxation approach. The method begins by transforming the original non-linear system into a linearized kinetic…

Numerical Analysis · Mathematics 2026-05-26 León Ávila , Manuel Castro , Victor Michel-Dansac , José M. Gallardo

The ability to robustly and efficiently control the dynamics of nonlinear systems lies at the heart of many current technological challenges, ranging from drug delivery systems to ensuring flight safety. Most such scenarios are too complex…

Fluid Dynamics · Physics 2021-02-16 Radu Cimpeanu , Susana N. Gomes , Demetrios T. Papageorgiou

Hydrogel consists of a crosslinked polymer matrix imbibed with a solvent such as water at volume fractions that can exceed 90\%. They are important in many scientific and engineering applications due to their tunable physiochemical…

Soft Condensed Matter · Physics 2020-06-11 Nicholas L. Cuccia , Suraj Pothineni , Brady Wu , Joshua Méndez-Harper , Justin C. Burton

Medication adherence is a well-known problem for pharmaceutical treatment of chronic diseases. Understanding how nonadherence affects treatment efficacy is made difficult by the ethics of clinical trials that force patients to skip doses of…

Quantitative Methods · Quantitative Biology 2021-12-30 Elijah D Counterman , Sean D Lawley

Existing energy balance models, which estimate maximum droplet spreading, insufficiently capture the droplet spreading from low to high Weber and Reynolds numbers and contact angles. This is mainly due to the simplified definition of the…

Fluid Dynamics · Physics 2022-04-12 Yunus Tansu Aksoy , Pinar Eneren , Erin Koos , Maria Rosaria Vetrano

We study an optimization problem for a model of steady state water transport through plants that maximizes water flow subject to the constraints on hydraulic conductance due to vulnerability to embolism (air blockage of conduits). The model…

Optimization and Control · Mathematics 2022-06-27 Sergiy Koshkin , Michael Tobin , Jeffae Schroff , Matt Capobianco , Sarah Oldfield

We present the smoothed-particle hydrodynamics implementation SPHGal, which combines some recently proposed improvements in GADGET. This includes a pressure-entropy formulation with a Wendland kernel, a higher order estimate of velocity…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-30 Chia-Yu Hu , Thorsten Naab , Stefanie Walch , Benjamin P. Moster , Ludwig Oser

The paper is concerned with an optimal control problem governed by the rate-independent system of quasi-static perfect elasto-plasticity. The objective is optimize the displacement field in the domain occupied by the body by means of…

Optimization and Control · Mathematics 2020-03-24 Christian Meyer , Stephan Walther

This paper represents a theoretical and an experimental study of the spreading dynamics of a liquid droplet, generated by a needle free deposition system called the liquid needle droplet deposition technique. This technique utilizes a…

In a previous work the authors described a fast high-fidelity computer model for acoustic scattering from multi-layered elastic spheres. This work is now extended with a scaling strategy significantly mitigating the problem of overflow and…

Fluid Dynamics · Physics 2022-10-04 Jon Vegard Venås , Trond Jenserud

Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to…

Soft Condensed Matter · Physics 2025-03-26 Matthew G. Hennessy , Tom Shearer , Axel C. Moore

A key challenge in sequential decision making is optimizing systems safely under partial information. While much of the literature has focused on the cases of either partially known states or partially known dynamics, it is further…

Optimization and Control · Mathematics 2023-04-21 Qinyang He , Yonatan Mintz

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

Run-and-tumble particles constitute one of the simplest models of self-propelled active matter, and provide an ideal playground to the understanding of out-of-equilibrium systems. We consider an idealized setup where one such particle is…

Statistical Mechanics · Physics 2026-02-05 Marco Baldovin , Alessandro Manacorda

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of…

Optimization and Control · Mathematics 2026-04-13 Mohamed Amine Ouchdiri , Hamza Faquir , Saad Benjelloun , Mohamed Adlene Maghenem , Irene Otero-Muras , Adnane Saoud

In this paper, we consider the problem of controlling a diffusion process pertaining to an opioid epidemic dynamical model with random perturbation so as to prevent it from leaving a given bounded open domain. Here, we assume that the…

Optimization and Control · Mathematics 2018-06-26 Getachew K. Befekadu , Quanyan Zhu

A popular method to induce synthetic propulsion at the microscale is to use the forces created by surface-produced gas bubbles inside the asymmetric body of a catalytic swimmer (referred to in the literature as microrocket). Gas bubbles…

Fluid Dynamics · Physics 2018-03-29 Giacomo Gallino , Francois Gallaire , Eric Lauga , Sebastien Michelin