Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries

DOI10.1016/j.cnsns.2023.107668MaRDI QIDQ6183792

Shuangling Yang, Shaoyun Shi, Kaiyin Huang

Publication date: 23 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

differential Galois theoryPoisson-Boltzmann equationPoincaré compactificationdifferential capacitance curve

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Cites Work

• Unnamed Item
• Unnamed Item
• Integrability of dynamical systems: algebra and analysis
• Galoisian obstructions to non-Hamiltonian integrability
• Dichotomies in stability theory
• Differential Galois theory and non-integrability of planar polynomial vector fields
• Dynamics and integrability analysis of two pendulums coupled by a spring
• The calculus of boundary variations and the dielectric boundary force in the Poisson-Boltzmann theory for molecular solvation
• Bi-homogeneity and integrability of rational potentials
• Qualitative theory of planar differential systems
• Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length
• Exact asymptotic expansions for the cylindrical Poisson–Boltzmann equation
• Diffused Solute-Solvent Interface with Poisson--Boltzmann Electrostatics: Free-Energy Variation and Sharp-Interface Limit
• Invariant Manifolds and the Onset of Reversal in the Rikitake Two-Disk Dynamo
• Bounded Polynomial Vector Fields
• Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
• A SURVEY ON THE BLOW UP TECHNIQUE
• Nonintegrability of the unfoldings of codimension-two bifurcations
• Introduction to the Qualitative Theory of Differential Systems
• The Potential of an Infinite Rod-Like Molecule and the Distribution of the Counter Ions
• Differential Galois theory and non-integrability of Hamiltonian systems
• Integrability of the Zakharov-Shabat systems by quadrature
• Non-integrability of the planar elliptic restricted three-body problem

This page was built for publication: Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries