Abstract:We investigate a three-dimensional active-vector relaxation of the electron magnetohydrodynamics (EMHD) equations without resistivity. The relaxation replaces the electron current by a generalized current defined through a fractional power of the Laplacian. We drive the system by multiplicative pseudo-differential noise and apply an exponential transformation that removes the stochastic differential term and produces an effective fractional damping. For deterministic divergence-free, mean-zero initial data, we prove local well-posedness up to a stopping time in suitable Gevrey spaces. Under a smallness condition, we further establish global well-posedness with high explicit probability.
From: Qirui Peng [view email]
[v1]
Tue, 23 Sep 2025 04:54:56 UTC (25 KB)
[v2]
Mon, 27 Oct 2025 04:05:41 UTC (24 KB)
[v3]
Mon, 31 Aug 2026 20:03:35 UTC (25 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。