Results 211 to 220 of about 889,087 (322)

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Unveiling solitary and twinning kink solitons in (2+1)-dimensional modified Zakharov-Kuznetsov equation arising in electronics. [PDF]

Sci Rep
Al-Sawalha MM, Noor S, Shah R, Yasmin H.
europepmc   +1 more source

Index-aware model order reduction for differential-algebraic equations

, 2014
G. Alì, N. Banagaaya, W. Schilders, Caren Tischendorf   +3 more
semanticscholar   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
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

Effect of rotational field on thermo-acoustic and optical wave propagation in hydrodynamic semiconductors. [PDF]

Sci Rep
Alshehri HM, Lotfy K.
europepmc   +1 more source

Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations

SIAM Journal on Matrix Analysis and Applications, 2013
N. Du, V. H. Linh, V. Mehrmann, Do Duc Thuan   +3 more
semanticscholar   +1 more source

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

A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
europepmc   +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

Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation. [PDF]

Sci Rep
Ullah MS, Hasan MM, Mahbub MA.
europepmc   +1 more source