Results 81 to 90 of about 26,053 (259)
Recent developments in mathematical aspects of relativistic fluids
Living Reviews in RelativityWe review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent fields, as ...
Marcelo Disconzi
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Unstable Manifolds of Euler Equations [PDF]
Communications on Pure and Applied Mathematics, 2013 We consider a steady state v0 of the Euler equation in a fixed bounded domain in ℝn. Suppose the linearized Euler equation has an exponential dichotomy of unstable and center‐stable subspaces. By rewriting the Euler equation as an ODE on an infinite‐dimensional manifold of volume‐preserving maps in Wk, q the unstable (and stable) manifolds of v0 are ...
Lin, Zhiwu, Zeng, Chongchun
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics
Advanced Robotics Research, EarlyView.This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett +5 more
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Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method
Journal of Applied Mathematics, 2013 Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral ...
Aytekin Eryılmaz +3 more
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Extension of an all-Mach Roe scheme able to deal with low Mach acoustics to full Euler system [PDF]
ESAIM: Proceedings and SurveysWe propose to extend the fix of Roe’s approximate Riemann solver developed for the Barotropic Euler equations in [2] to the full Euler equations. This scheme is built mainly to handle low Mach acousticwaves.
Galié Thomas +3 more
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On differential equations invariant under two-variable Moebius transformations [PDF]
, 2022 We compute invariants for the two-variable M ̈obius transformation. In particular we are interested in partial differential equations in two dependent and two independent variables that are kept invariant under this ...
N. Euler, M. C. Nucci, M. Euler
core
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
上海师范大学学报. 自然科学版, 2016 We consider the stability and asymptotic stability of a class of nonlinear delay differential-algebraic equations and of the implicit Euler methods.Some sufficient conditions for the stability and asymptotic stability of the equations are given.These ...
JIANG Lanlan, JIN Xiangying, SUN Leping
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Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
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