Results 21 to 30 of about 11,005 (190)

The Parametric Solution of Underdetermined linear ODEs [PDF]

, 2011
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary differential equations (ODEs) with coefficients that are arbitrary analytic ...
Wolf, Thomas
core   +1 more source

Magnetic hydrodynamics with asymmetric stress tensor

, 2004
In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an abelian extension of the Lie algebra of vector fields with a non-trivial 2-cocycle.
Adams R. A., Arnold V. I., Batchelor G. K., Fuks D. B., Gelfand I. M., Kadomtsev B. B., Moreau R., Ovsienko V. Yu., Priest E. R., Rosensweig R. E., Višik S. M., Yuly Billig   +11 more
core   +1 more source

The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]

, 2012
We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R ...
Fokas, A. S., Pelloni, Beatrice
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

Advanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini, Hadi Hosseini, Seyyed Alireza Hashemi, Mohammad Arjmand   +3 more
wiley   +1 more source

Ionic–Bionic Interfaces: Advancing Iontronic Strategies for Bioelectronic Sensing and Therapy

Advanced Science, EarlyView.
Ionic–bionic interfaces for bioelectronics leverage ions as multifunctional mediators that combine mechanical compliance, ionic and electronic functionalities, and therapeutic effects. These systems offer real‐time biosignal transduction, effective wound dressing, responsive drug delivery, and seamless interaction between soft tissues and electronic ...
Yun Goo Ro, Yoojin Chang, Jeeyoon Kim, Seungjae Lee, Sangyun Na, Cheolhong Park, Hyunhyub Ko   +6 more
wiley   +1 more source

On Integrable Doebner-Goldin Equations

, 1995
We suggest a method for integrating sub-families of a family of nonlinear {\sc Schr\"odinger} equations proposed by {\sc H.-D.~Doebner} and {\sc G.A.~Goldin} in the 1+1 dimensional case which have exceptional {\sc Lie} symmetries.
Anderson R L, Burgers J M, Cole J D, Courant R, Doebner H-D, Doebner H-D, Doebner H-D, Doebner H-D, Doebner H-D, Feynman R P, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Goldin G A, Goldin G A, Guerra F, Hopf E, John F, Kibble T W B, Lax P, Lücke W, Nattermann P, Nattermann P, Nattermann P, Olver P J, Ovsiannikov L V, P Nattermann, R Zhdanov, Sabatier P C, Smolin L, Smoller J   +33 more
core   +2 more sources

Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices

Advanced Science, EarlyView.
This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma, Lei Zhang, Junhao Ding, Shuo Qu, Michael Yu Wang, Xu Song, Ming Wang Fu   +6 more
wiley   +1 more source

Symmetry Results for Finite-Temperature, Relativistic Thomas-Fermi Equations

, 2002
In the semi-classical limit, the quantum mechanics of a stationary beam of counter-streaming relativistic electrons and ions is described by a nonlinear system of finite-temperature Thomas-Fermi equations.
Kiessling, Michael K. -H.
core   +2 more sources

Bifidobacterium Breve Yang08 Alleviates Atopic Dermatitis By Enriching Akkermansia Muciniphila and Inhibiting Neutrophil Extracellular Traps Formation In Mice

Advanced Science, EarlyView.
A novel Bifidobacterium breve strain, Yang08, is isolated to counter its depletion in atopic dermatitis. In mice, live Yang08 requires an intact gut microbiota to exert protection, specifically enriching Akkermansia muciniphila and potently inhibiting pathogenic neutrophil activation and NETosis in the skin.
Yanqiang Shi, Shuang He, Chengyi Li, Hung Chan, Zhenfeng Liu, Bin Yang, Qing Li   +6 more
wiley   +1 more source