Results 101 to 110 of about 3,311 (299)

The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations

Journal of Applied Mathematics, 2012
This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma. Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the ...
Yadong Shang, Xiaoxiao Zheng
doaj   +1 more source

Concerning marginal singularities in the boundary-layer flow on a downstream-moving surface

, 1996
The formation of separation singularities in solutions of the classical boundary-layer equations is studied numerically and analytically for the case of a two-dimensional incompressible steady flow near a solid surface moving in the direction of the main
Timoshin, SN
core  

A smoothed projection method for singular, nonlinear Volterra equations

, 1979
A modified Galerkin method previously used to approximate the solution of nonlinear Volterra integral equations of the second kind with smooth kernels is generalized to include such equations with singular, monotone kernels of convolution type.
Wood, Bruce, Bownds, John M
core   +1 more source

Efficient and Robust Standing Postures of Quadruped Robots

Advanced Robotics Research, EarlyView.
A calibrated static framework estimates load, optimizes torques, and adapts posture so quadruped robots stand efficiently and robustly under external payloads, achieving up to 50% lower torque demand. Inspired by the natural posture adjustments of animals under external loading, this article presents an optimization‐based framework for minimizing joint
Mohamad Kanaan, Hamza Jomaa, Jack Challita, Kawthar Zaidan, Riad Saab, Hussein Hussein   +5 more
wiley   +1 more source

LLM‐Integrated Human–Robot Interaction System for Microrobots

Advanced Robotics Research, EarlyView.
This paper proposes an LLM‐based control framework for guiding microrobots using human natural language. This framework can convert the natural human speech into safe and executable command sets for reliable navigation in complex environments. The experimental results show high accuracy and robustness in task performance, demonstrating the potential of
Bairong Zhu, Amar Salehi, Tingting Yu
wiley   +1 more source

3D‐Nanoprinted Fluidically Steerable Soft Robotic Microcatheters

Advanced Robotics Research, EarlyView.
This work introduces a ∼3‐French (1 mm‐in‐diameter) soft robotic microcatheter fabricated by means of two‐photon direct laser writing. The 3D‐printed microcatheter enables remote, on‐demand steering via microfluidic actuation for guidewire‐free navigation of vascular networks as well as microcatheter‐mediated delivery of fluidic payloads to target ...
Bailey M. Felix, Molly Carton, Olivia M. Young, Noah Barnes, Jordi T. Andreou, Sarah McHugh, Jack E. McCann, Claudia Davis, Victoria Reddig‐Leiman, Afsah Kamran, Dheeraj Gandhi, Miroslaw Janowski, Jeremy D. Brown, Mark Fuge, Axel Krieger, Clifford R. Weiss, Christopher R. Bailey, Ryan D. Sochol   +17 more
wiley   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

Advanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet, Priyanka Kumari, Sathyanarayana Paladugu, Damian Pociecha, Jakub Karcz, Przemysław Kula, Nataša Vaupotič, Ewa Górecka, Oleg D Lavrentovich   +8 more
wiley   +1 more source

In Situ X‐Ray Tomography and Acoustic Emission Monitoring of Damage Evolution in C/C‐SiC Composites Fabricated by Liquid Silicon Infiltration

Advanced Science, EarlyView.
This study investigates how the internal structure of fiber‐reinforced ceramic composites affects their resistance to damage. By combining 3D X‐ray imaging with acoustic emission monitoring during mechanical testing, it reveals how silicon distribution influences crack formation.
Yang Chen, Renato S. M. Almeida, Stefan Flauder, Guillaume Couégnat, Kamen Tushtev, Jürgen Horvath, Peter Wriggers, Kurosch Rezwan   +7 more
wiley   +1 more source

The Newton-Kantorovich Approximations for Nonlinear Singular Integral Equations with Shift

Journal of Integral Equations and Applications, 2002
Nonlinear singular integral equations with Carleman shift are considered in generalized Hölder spaces. The author proves convergence of the Newton-Kantorovich approximation for a class of singular integral equations for which the Fréchet derivative of the underlying nonlinear operator is locally Lipschitz continuous. Moreover, conditions sufficient for
openaire   +3 more sources