Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
On <i>p</i>-refined Friedberg-Jacquet integrals and the classical symplectic locus in the GL 2 n eigenvariety. [PDF]
Barrera Salazar D, Graham A, Williams C.
europepmc +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Sherlock Holmes Doesn't Play Dice: The Mathematics of Uncertain Reasoning When Something May Happen, That You Are Not Even Able to Figure Out. [PDF]
Fioretti G.
europepmc +1 more source
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Di Francesco P +4 more
europepmc +1 more source
Computing Bonds Between Formal Contexts
ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
The Unbearable Indefiniteness of Spacetime. [PDF]
Cinti E, Mariani C, Sanchioni M.
europepmc +1 more source
High Relative Accuracy Computations With Covariance Matrices of Order Statistics
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz +3 more
wiley +1 more source
Causal chain event graphs for remedial maintenance. [PDF]
Yu X, Smith JQ.
europepmc +1 more source

