Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we show a connection between fractional Schrödinger equations with power-law nonlinearity and fractional Schrödinger equations with logarithm-law nonlinearity. We prove t…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we construct and analyze a stochastic Lotka–Volterra competitive model with the Ornstein–Uhlenbeck process and infinite delays. First, we verify the existence and uniquen…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. The chemical diffusion master equation (CDME) describes the probabilistic dynamics of reaction–diffusion systems at the molecular level [del Razo et al., Lett. Math. Phys. 112, 49 (2022…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We show that small homogeneous solutions to the Einstein–Boltzmann-scalar field system exist globally toward the future and tend to the de Sitter solution in a suitable sense. More spec…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we study the stochastic two-component Camassa–Holm shallow water system on [math] and [math]. We first establish the existence, uniqueness, and blow-up criterion of the p…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we establish the asymptotic stability of certain stationary solution to 2D magnetohydrodynamic flow without resistivity in the infinite flat strip [math]. In addition, so…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we establish the asymptotic stability of certain stationary solution to 2D magnetohydrodynamic flow without resistivity in the infinite flat strip [math]. In addition, so…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In the present article, we consider the Boltzmann equation that models a polyatomic gas by introducing one additional continuous variable, referred to as microscopic internal energy. We…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. Motivated by recent developments in quantum simulation of synthetic dimensions, e.g., in optical lattices of ultracold atoms, we discuss here d-dimensional periodic, gapped quantum syst…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. The goal of this short article is to summarize some of the recent developments in quiver Yangians and crystal meltings. This article is based on a lecture delivered by the author at Int…