scholarly journals Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity

2014 ◽  
Vol 267 (5) ◽  
pp. 1488-1539 ◽  
Author(s):  
Guilong Gui
Keyword(s):  
Electrical Conductivity ◽  
Variable Density ◽  
Well Posedness ◽  
Two Dimensional ◽  
Incompressible Magnetohydrodynamics ◽  
Magnetohydrodynamics System

scholarly journals Solvothermal Preparation of Spherical Bi2O3 Nanoparticles Uniformly Distributed on Ti3C2Tx for Enhanced Capacitive Performance

2021 ◽  
Author(s):  
Tao Li ◽  
Xuefeng Chang ◽  
Lifang Mei ◽  
Xiayun Shu ◽  
Jidong Ma ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Chemical Stability ◽  
Layered Structure ◽  
Layered Material ◽  
Two Dimensional ◽  
Capacitive Performance ◽  
Solvothermal Preparation

Ti3C2Tx is a promising new two-dimensional layered material for supercapacitors with good electrical conductivity and chemical stability. However, Ti3C2Tx has problems such as collapse of the layered structure and low...

scholarly journals Local Well-Posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 461
Author(s):  
Kenta Oishi ◽  
Yoshihiro Shibata
Keyword(s):  
Free Surface ◽  
Free Boundary ◽  
Boundary Conditions ◽  
Stokes Equations ◽  
Mhd Flow ◽  
Transmission Conditions ◽  
Well Posedness ◽  
Anisotropic Space ◽  
Free Boundary Conditions ◽  
Incompressible Magnetohydrodynamics

In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by a free surface. An electromagnetic field generated by some currents in an external domain keeps an MHD flow in a bounded domain. On the free surface, free boundary conditions for MHD flow and transmission conditions for electromagnetic fields are imposed. We proved the local well-posedness in the general setting of domains from a mathematical point of view. The solutions are obtained in an anisotropic space Hp1((0,T),Hq1)∩Lp((0,T),Hq3) for the velocity field and in an anisotropic space Hp1((0,T),Lq)∩Lp((0,T),Hq2) for the magnetic fields with 2<p<∞, N<q<∞ and 2/p+N/q<1. To prove our main result, we used the Lp-Lq maximal regularity theorem for the Stokes equations with free boundary conditions and for the magnetic field equations with transmission conditions, which have been obtained by Frolova and the second author.

scholarly journals Effect of dispersity of particle length on electrical conductivity of two-dimensional systems

2019 ◽  
Vol 1163 ◽  
pp. 012006
Author(s):  
Yuri Yu Tarasevich ◽  
Andrei V Eserkepov ◽  
Irina V Vodolazskaya ◽  
Petr G Selin ◽  
Valentina V Chirkova ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Two Dimensional ◽  
Particle Length

Spin susceptibility of a variable-density two-dimensional electron system

2004 ◽  
Vol 22 (1-3) ◽  
pp. 228-231 ◽  
Author(s):  
J. Zhu ◽  
H.L. Stormer ◽  
L.N. Pfeiffer ◽  
K.W. Baldwin ◽  
K.W. West
Keyword(s):  
Electron System ◽  
Variable Density ◽  
Spin Susceptibility ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Electron System

scholarly journals Electrical conductivity in a non-covalent two-dimensional porous organic material with high crystallinity

2021 ◽  
Author(s):  
Qizhi Xu ◽  
Boyuan Zhang ◽  
Yihang Zeng ◽  
Amirali Zangiabadi ◽  
Hongwei Ni ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Organic Material ◽  
Field Effect ◽  
Field Effect Transistor ◽  
Van Der Waals Interactions ◽  
Two Dimensional ◽  
Porous Films ◽  
Top Down ◽  
High Crystallinity ◽  
Effect Transistor

Ultrathin porous films held together by non-covalent van der Waals interactions was obtained by a top-down approach, which is then utilized as channel material in a two-dimensional planar field-effect transistor device through easy stamp transfer.

Two-dimensional numerical simulations of electrothermal behaviour in very large scale integrated contacts and vias

1989 ◽  
Vol 67 (4) ◽  
pp. 212-217 ◽  
Author(s):  
W. Allegretto ◽  
A. Nathan ◽  
K. Chau ◽  
H. P. Baltes
Keyword(s):  
Electrical Conductivity ◽  
Joule Heating ◽  
Large Scale ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Heating Effects ◽  
Two Dimensional Model ◽  
Potential Gradients ◽  
Metallization Process ◽  
Temperature Equation

We present results of electrothermal interactions in fine geometry contacts and vias. The results have been obtained using a two-dimensional model based on the finite-box procedure. For the contact geometry, large electric potential gradients and consequently high Joule-heating effects develop at the interface, which is relatively low in electrical conductivity. In the case of the via, however, temperature escalations result from singularities in the electric field at geometrically imperfect locations, owing to inadequate step coverage in the metallization process. In particular, we discuss the treatment of boundary conditions for the temperature equation.

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