Results 131 to 140 of about 225,423 (289)
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
Adenosine A2A receptor (ADORA2A); phosphodiesterase-2 (PDE-2); PDE-3; PDE-4; PDE-7 [PDF]
openaire +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
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Exact Solutions of Linear Multiple Delay Partial Differential Equations
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley +1 more source
Coexistence, crossover and extirpation in coalescent communities and ecotones
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
This study presents improvements to the non‐hydrostatic version of the European Centre for Medium‐Range Weather Forecasts (ECMWF) Integrated Forecasting System (IFS), enabling stable global simulations at 1.4‐km resolution. A systematic comparison with the hydrostatic version at resolutions from 9 to 1.4 km shows that non‐hydrostatic effects emerge in ...
Jozef Vivoda +3 more
wiley +1 more source
ABSTRACT Chronic obstructive pulmonary disease (COPD) remains the third leading cause of death worldwide, and conventional bronchodilator‐based therapies have limited efficacy in preventing exacerbations and disease progression. The 2024–2026 period represents a historic inflection point: three mechanistically distinct agents received Food and Drug ...
Naoya Fujino, Hisatoshi Sugiura
wiley +1 more source
A fission yeast-based platform for nematode PDE inhibitor discovery. [PDF]
Bibeau S +17 more
europepmc +1 more source

