Results 61 to 70 of about 3,258,064 (367)

Full Wafer Scale Manufacturing of Directly Printed TiO2 Metalenses at Visible Wavelengths with Outstanding Focusing Efficiencies

Advanced Materials, EarlyView.
The highest experimentally determined focusing efficiency is reported here by using the direct imprinting of all‐inorganic TiO2 metalens arrays. Absolute efficiency greater than 80% and relative efficiency greater than 90% are achieved by optimization of all fabrication parameters controllable in the additive manufacturing process.
Dae Eon Jung, Vincent J. Einck, Alex Dawicki, Victor Malgras, Lucas D. Verrastro, David Grosso, Amir Arbabi, James J. Watkins   +7 more
wiley   +1 more source

On a characteristic problem for a loaded hyperbolic equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The paper studies a loaded hyperbolic equation with one - dimensional wave equation in its main part. In the loaded components there are two points, which are distributed respectively along a pair of intersecting characteristics at a constant speed. For
A.Kh. Attaev
doaj   +1 more source

Long-time asymptotics for the generalized Sasa-Satsuma equation

AIMS Mathematics, 2020
In this paper, we study the long-time asymptotic behavior of the solution of the Cauchy problem for the generalized Sasa-Satsuma equation. Starting with the 3 × 3 Lax pair related to the generalized Sasa-Satsuma equation, we construct a Rieman-Hilbert ...
Kedong Wang, Xianguo Geng, Mingming Chen, Ruomeng Li   +3 more
doaj   +1 more source

Some hyperstability and stability results for the Cauchy and Jensen equations

Journal of Inequalities and Applications, 2022
In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauchy equation.
Mohammad Bagher Moghimi, Abbas Najati
doaj   +1 more source

Self-Similar Intermediate Asymptotics for a Degenerate Parabolic Filtration-Absorption Equation

, 2000
The equation $$ \partial_tu=u\partial^2_{xx}u-(c-1)(\partial_xu)^2 $$ is known in literature as a qualitative mathematical model of some biological phenomena.
Barenblatt, G. I., Bertsch, M., Chertock, A. E., Prostokishin, V. M.   +3 more
core   +2 more sources

Cauchy and Signaling Problems for the Time-Fractional Diffusion-Wave Equation [PDF]

, 2014
In this paper, some known and novel properties of the Cauchy and signaling problems for the one-dimensional time-fractional diffusion-wave equation with the Caputo fractional derivative of order b;1 b 2 are investigated. In particular, their response
Yuri Luchko, F. Mainardi
semanticscholar   +1 more source

Thermally Activated Swelling and Wetting Transition of Frozen Polymer Brushes:a New Concept for Surface Functionalization

Advanced Materials, EarlyView.
A novel approach is introduced that leverages polymer phase transitions to modulate brush behavior. The oleophilic bottle brush system exhibits two distinct melting transitions—bulk and surface—enabling a two‐stage swelling and wetting transition.
Luciana Buonaiuto, Sander Reuvekamp, Billura Shakhayeva, Enqing Liu, Franziska Neuhaus, Björn Braunschweig, Sissi de Beer, Frieder Mugele   +7 more
wiley   +1 more source

Towards Rigorous Derivation of Quantum Kinetic Equations

, 2010
We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator.
Arnold A, Benedetto D, Bogolybov N N, Bogolybov N N, Bogolyubov M M, Bogolyubov N N, Borgioli G, Borgioli G, Bratelli O, Cercignani C, Cercignani C, Cohen E G D, Cohen E G D, Dautray R, Gerasimenko V I, Gerasimenko V I, Gerasimenko V I, Gerasimenko V I, Gerasimenko V I, Gerasimenko V I, Ginibre J, Grad H, Kato T, Petrina D Ya, Polishchuk D O, Spohn H, Spohn H, Tsvir Zh A, Uhlenbeck G E, V I Gerasimenko, Zh A Tsvir   +30 more
core   +1 more source

SOME REMARKS ON CAUCHY EQUATION ON A CURVE

, 1990
In recent years a still increasing number of papers have been dealing with so called conditional Cauchy equations. The problem can be briefly stated as follows.
M. Sablik
semanticscholar   +1 more source

Cauchy’s almost forgotten Lagrangian formulation of the Euler equation for 3D incompressible flow [PDF]

, 2014
Two prized papers, one by Augustin Cauchy in 1815, presented to the French Academy and the other by Hermann Hankel in 1861, presented to Göttingen University, contain major discoveries on vorticity dynamics whose impact is now quickly increasing.
U. Frisch, B. Villone
semanticscholar   +1 more source