Results 61 to 70 of about 104,532 (267)
Uniqueness of Weak Solutions to a Prion Equation with Polymer Joining
, 2017 We consider a model for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The model consists of an ordinary differential equation for the prion monomers and a hyperbolic nonlinear differential equation with ...
Leis, Elena, Walker, Christoph
core +1 more source
From Rigid to Soft Robotic Approaches for Neuroendoscopy
Advanced Robotics Research, EarlyView.Robotic assistance has had minimal impact on deep intraventricular surgeries, where small‐scale, precision, and reduced invasiveness can contribute to improved patient outcomes. Emerging technologies in rigid, soft, and hybrid robotics are reviewed to identify the most promising mechanisms for deep brain navigation in addition to an attempt to identify
Kieran Gilday +3 more
wiley +1 more source
Traveling wave solutions of some nonlinear evolution equations
Alexandria Engineering Journal, 2015 In this work, the modified simple equation (MSE) method is used to find exact traveling wave solutions to nonlinear evolution equations (NLEEs) in mathematical physics.
Rafiqul Islam +4 more
doaj +1 more source
SIAC Filtering for Nonlinear Hyperbolic Equations [PDF]
, 2015 We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws. The traditional symmetric SIAC filter relies on having a translation invariant mesh, periodic boundary conditions and linear ...
Li, Xiaozhou, Ryan, Jennifer
openaire +2 more sources
Algebraic properties of Gardner's deformations for integrable systems
, 2007 An algebraic definition of Gardner's deformations for completely integrable bi-Hamiltonian evolutionary systems is formulated. The proposed approach extends the class of deformable equations and yields new integrable evolutionary and hyperbolic Liouville-
A. B. Borisov +20 more
core +4 more sources
Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Journal of Ocean Engineering and Science, 2019 In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation.
Elsayed M.E. Zayed +2 more
doaj +1 more source
Well-balanced and asymptotic preserving schemes for kinetic models [PDF]
, 2016 In this paper, we propose a general framework for designing numerical schemes that have both well-balanced (WB) and asymptotic preserving (AP) properties, for various kinds of kinetic models.
Emako, Casimir, Tang, Min
core +4 more sources
, 2015 The paper recalls two of the regularity results for Burgers' equation, and discusses what happens in the case of genuinely nonlinear, strictly hyperbolic systems of conservation laws.
Caravenna, Laura
core +1 more source
Echinoderm‐Inspired Autonomy for Soft‐Legged Robots
Advanced Robotics Research, EarlyView.Inspired by echinoderms, a modular soft robot achieves autonomous phototaxis without a central controller or explicit communication. Each limb independently adapts its actuation timing through local sensing and short‐term memory. Coordination emerges purely from physical interactions, demonstrating resilience to changes in morphology, environment, and ...
Harmannus A. H. Schomaker +2 more
wiley +1 more source