Agus Soenjaya, Thanh Tran
Published 2023-02-06Version 1
The Landau--Lifshitz--Baryakhtar (LLBar) equation is a generalisation of the Landau--Lifshitz--Gilbert (LLG) and the Landau--Lifshitz--Bloch (LLB) equations which takes into account contributions from nonlocal damping and is valid at moderate temperature below the Curie temperature. As such, it is able to explain some discrepancies between the experimental observations and the known theories in various problems on magnonics and magnetic domain-wall dynamics. In this paper, the existence and uniqueness of weak and regular solutions to LLBar equation are proven. H\"older continuity of the solution is also discussed.
On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in $\Bbb R^N$
Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with slow $p$-Laplacian diffusion
Global weak solution to the viscous two-phase model with finite energy
![QR code for arXiv:2302.02556 [math.AP]](http://oss.arxitics.com/images/favicon.svg)