The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

2019 ◽  
Vol 13 (1) ◽  
pp. 157-167 ◽  
Author(s):  
I. E. Svetov ◽  
A. P. Polyakova ◽  
S. V. Maltseva
Keyword(s):  
Two Dimensional ◽  
Tensor Fields ◽  
Approximate Inverse ◽  
Ray Transform

scholarly journals Migration transformation of two-dimensional magnetic vector and tensor fields

2012 ◽  
Vol 189 (3) ◽  
pp. 1361-1368 ◽  
Author(s):  
Michael S. Zhdanov ◽  
Hongzhu Cai ◽  
Glenn A. Wilson
Keyword(s):  
Two Dimensional ◽  
Magnetic Vector ◽  
Tensor Fields

scholarly journals Global weak solutions to the stochastic Ericksen–Leslie system in dimension two

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Hengrong Du ◽  
Changyou Wang
Keyword(s):  
System Modeling ◽  
Energy Estimates ◽  
Bounded Domains ◽  
Two Dimensional ◽  
Global Weak Solutions ◽  
Tensor Fields ◽  
Ginzburg Landau ◽  
Wiener Type ◽  
Leslie System ◽  
Martingale Solutions

<p style='text-indent:20px;'>We establish the global existence of weak martingale solutions to the simplified stochastic Ericksen–Leslie system modeling the nematic liquid crystal flow driven by Wiener-type noises on the two-dimensional bounded domains. The construction of solutions is based on the convergence of Ginzburg–Landau approximations. To achieve such a convergence, we first utilize the concentration-cancellation method for the Ericksen stress tensor fields based on a Pohozaev type argument, and then the Skorokhod compactness theorem, which is built upon uniform energy estimates.</p>

Sign in / Sign up

Export Citation Format

Share Document