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Category: Journal of Mathematical Physics

Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes

Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We study the motion of a viscous incompressible fluid in an n + 1-dimensional infinite pipe Λ with an L-periodic shape in the z = xn+1 direction. We denote by Σz the cross-section of th…

Dirac reductions and classical W-algebras

Dirac reductions and classical W-algebras

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In the first part of this paper, we generalize the Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modif…

From the Nash–Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: Analogues, examples, and extensions

From the Nash–Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: Analogues, examples, and extensions

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. Direct linkages between regular or irregular isometric embeddings of surfaces and steady compressible or incompressible fluid dynamics are investigated in this paper. For a surface (M, …

The null distance encodes causality

The null distance encodes causality

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. A Lorentzian manifold, N, endowed with a time function, τ, can be converted into a metric space using the null distance, [math], defined by Sormani and Vega [Classical Quant. Grav. 33(8…

Strong traveling wave solutions for a nonlocal diffusive susceptible–infectious–recovered model with spatiotemporal delay

Strong traveling wave solutions for a nonlocal diffusive susceptible–infectious–recovered model with spatiotemporal delay

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In general, a Lyapunov functional is one of the main approaches to show the existence of strong traveling wave solutions. However, introducing a spatiotemporal delay into a nonlocal dif…

Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition

Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. This paper is concerned with a one-dimensional quasi-periodically forced nonlinear Schrödinger equation under Dirichlet boundary conditions. The existence of the quasi-periodic solution…

Limiting behavior of center manifolds for stochastic evolutionary equations with delay in varying phase spaces

Limiting behavior of center manifolds for stochastic evolutionary equations with delay in varying phase spaces

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this article, we consider random center manifolds for a class of stochastic evolutionary equations with delay driven by multiplicative white noise. We first prove the existence and C…

Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure

Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. The formation of delta shock and vacuum state for the pressureless hydrodynamic model is investigated in detail under the small disturbance of traffic pressure. Exact Riemann solutions …