Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. This paper is concerned with the validity of Prandtl boundary layer expansions for 2D steady viscous incompressible magnetohydrodynamic (MHD) flows over a rotating disk {(θ, r) ∈ [0, θ…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In the last two decades, a vast variety of topological phases have been described, predicted, classified, proposed, and measured. While there is a certain unity in method and philosophy…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we consider the perturbed Navier–Stokes equations around the Landau solution and investigate the global well-posedness results of the perturbed system with the small init…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. On the basis of an evolution theorem for the infinite Newtonian dynamics, we give a rigorous construction of the associated cluster dynamics as a measurable flow. The latter is isomorph…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In 2008, Liberati [J. Algebra 319, 2295–2318 (2008)] defined what a conformal Lie bialgebra is and introduced the conformal classical Yang–Baxter equation (CCYBE). An L-invariant soluti…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We study emergent collective dynamics for the relativistic Cucker–Smale (RCS) model in a bonding force field on an abstract Riemannian manifold. The abstract RCS model in a bonding forc…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. This paper deals with an initial-boundary problem of the fourth-order parabolic equation involving two logarithm terms. First, we give some results for blow-up or global solutions throu…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by introducing…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we study the Cauchy problem for focusing nonlinear beam equations with and without a damping term. By constructing two pairs of invariant flows, we obtain the exact thres…
Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this paper, we prove compact embedding of a subspace of the fractional Orlicz–Sobolev space [math] consisting of radial functions; our target embedding spaces are of Orlicz type. In …