A Class of Analytic Solutions for Verification and Convergence Analysis of Linear and Nonlinear Fluid-Structure Interaction Algorithms
Sign Up to like & getrecommendations! Published in 2020 at "Computer methods in applied mechanics and engineering"
DOI: 10.1016/j.cma.2020.112841
Abstract: Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of applicationspecific… read more here.
Keywords: convergence analysis; verification; analytic solutions; class analytic ... See more keywords
Evolution of analytic solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients and optical lattice
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2017.08.013
Abstract: Abstract When laser pulses propagate in an inhomogeneous nonlinear medium, we theoretically investigate the evolution of laser pulses by analytically solving the (3 + 1)-dimensional generalized nonlinear Schrodinger equation with variable coefficients and optical lattice. A series… read more here.
Keywords: evolution; analytic solutions; coefficient; optical lattice ... See more keywords
Analytic solutions of nonlinear elliptic equations on rectangular tori
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.039
Abstract: In this paper, we consider the nonlinear elliptic equations on rectangular tori. Using methods in the study of KAM theory and Anderson localization, we prove that these equations admit many analytic solutions. read more here.
Keywords: analytic solutions; equations rectangular; rectangular tori; solutions nonlinear ... See more keywords
Analytic solutions of the Weiss mean field equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2020.167179
Abstract: Abstract Analytic solutions of the Weiss mean field equation are obtained using an approximant of the inverse Langevin function. These solutions provide temperature dependencies of the magnetization and the magnetic susceptibility typical of the classical… read more here.
Keywords: weiss mean; field equation; mean field; analytic solutions ... See more keywords
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-63982-w
Abstract: Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady convection-diffusion-reaction (CDR) equation, which is classified in mathematics as… read more here.
Keywords: convection diffusion; diffusion; diffusion reaction; analytic solutions ... See more keywords
Analytic solutions of the variable force effect in lattice Boltzmann methods for Poiseuille flows
Sign Up to like & getrecommendations! Published in 2021 at "Physics of Fluids"
DOI: 10.1063/5.0061101
Abstract: Various external forcing formulations of the lattice Boltzmann method (LBM) are analyzed by deriving the analytic solutions of the fully developed Poiseuille flows with and without the porous wall. For uniform driving force, all the… read more here.
Keywords: lbm; poiseuille flows; analytic solutions; lattice boltzmann ... See more keywords
Analytic solutions for displacements in quantum-wire structures
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Applied Physics"
DOI: 10.1063/5.0134197
Abstract: Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the… read more here.
Keywords: quantum wire; analytic solutions; wire structures; displacements quantum ... See more keywords
Analytic solutions for delocalized heat transport
Sign Up to like & getrecommendations! Published in 2021 at "Plasma Physics and Controlled Fusion"
DOI: 10.1088/1361-6587/abf766
Abstract: Comprehensive understanding of nonlocal transport is mandatory for many applications of laser–plasma interaction physics, such as inertial confinement fusion and modeling of astrophysical phenomena in the laboratory. Theoretical description is important for guiding numerical simulations… read more here.
Keywords: transport; analytic solutions; physics; solutions delocalized ... See more keywords
Proper time method: generation of analytic solutions of the Dirac equation with classical features
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/adbbe4
Abstract: We introduce a new method to derive solutions of the Dirac equation in external static fields that have a direct connection to classical physics. Using it, we derive new analytic solutions of the Dirac equation… read more here.
Keywords: solutions dirac; dirac equation; proper time; time method ... See more keywords
Chemical separation of stellar populations: analytic solutions for chemical evolution models with metallicity-dependent yields
Sign Up to like & getrecommendations! Published in 2025 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/staf1900
Abstract: Stellar abundances of elements with production channels that are metallicity-dependent (most notably aluminium) have provided an empirical route for separating different Galactic components. We present ‘single-zone’ analytic solutions for the chemical evolution of galaxies when… read more here.
Keywords: metallicity; metallicity dependent; solutions chemical; analytic solutions ... See more keywords
Analytic solutions for the Bianchi I universe coupled to several barotropic perfect fluids
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review D"
DOI: 10.1103/physrevd.110.084059
Abstract: We consider the Bianchi I geometry coupled to several species of comoving barotropic perfect fluids with a linear equation of state in the context of general relativity. The solution of the dynamics can be reduced… read more here.
Keywords: perfect fluids; coupled several; barotropic perfect; analytic solutions ... See more keywords