残废的火焰 发表于 2025-3-28 15:03:21
Stability of Spikes for the Gierer-Meinhardt System in One Dimension,. We will show that symmetric spikes in one dimension may be stable or unstable. Asymmetric spikes in one dimension are always unstable, however they may be metastable. Large eigenvalues of unity order are studied by nonlocal eigenvalue problems, small eigenvalues are investigated by a projection similar to Liapunov-Schmidt reduction.