Results 161 to 170 of about 217,226 (371)

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
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, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Porous Deep Eutectic Solvents–Unfulfilled Dream or the Next Breakthrough in Scientific Innovation?

Advanced Science
Porous deep eutectic solvents (PDES) are capturing the imagination of scientists, promising a revolutionary leap in material science. These innovative materials, blending the versatility of deep eutectic solvents (DES) with the intricate architectures of
Marcin Wysokowski, Patrycja Makoś‐Chełstowska, Alina Brzęczek‐Szafran, Aleksandra Sikora, Adam Gorczyński, Teofil Jesionowski   +5 more
doaj   +1 more source

Paracontrolled calculus for quasilinear singular PDEs

, 2019
I. Bailleul, A. Mouzard
openalex   +1 more source

Hypersurfaces in Hyperbolic Poincaré Manifolds and Conformally Invariant PDEs [PDF]

, 2009
Vincent Bonini, José M. Espinar, Jie Qing   +2 more
openalex   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
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, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
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, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Apicomplexan phosphodiesterases in cyclic nucleotide turnover: conservation, function, and therapeutic potential

mBio
Apicomplexa encompasses a large number of intracellular parasites infecting a wide range of animals. Cyclic nucleotide signaling is crucial for a variety of apicomplexan life stages and cellular processes.
William J. Moss, Lorenzo Brusini, Ronja Kuehnel, Mathieu Brochet, Kevin M. Brown   +4 more
doaj   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
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, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
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

An Image Filter Arithmetic based on GA, PDE and TV

, 2013
Zhiyong Fan, Quansen Sun, Zexuan Ji, Feng Ruan, Liling Zhao   +4 more
openalex   +1 more source