Results 41 to 50 of about 51,978 (203)
Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, EarlyView.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
wiley +1 more source
Mathematical Analysis of the PDE Model for the Consensus-based Optimization
In this paper, we develop an analytical framework for the partial differential equation underlying the consensus-based optimization model. The main challenge arises from the nonlinear, nonlocal nature of the consensus point, coupled with a diffusion term that is both singular and degenerate. By employing a regularization procedure in combination with a
Wang, Jinhuan, Li, Keyu, Huang, Hui
openaire +2 more sources
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria +2 more
wiley +1 more source
Quantization, PDEs, and Geometry
, 2016 This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry.
Bahns, Dorothea +2 more
openaire +3 more sources
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain +3 more
wiley +1 more source
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, EarlyView.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Communications on Pure and Applied Mathematics, EarlyView.Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source