Results 31 to 40 of about 2,574 (114)
Journal of Mathematics, Volume 2026, Issue 1, 2026.A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek +6 more
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Chaotic scattering in solitary wave interactions: A singular iterated-map description
, 2007 We derive a family of singular iterated maps--closely related to Poincare maps--that describe chaotic interactions between colliding solitary waves. The chaotic behavior of such solitary wave collisions depends on the transfer of energy to a secondary ...
Moser J., Roy H. Goodman
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Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
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Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases
CPT: Pharmacometrics &Systems Pharmacology, Volume 14, Issue 12, Page 1908-1922, December 2025.ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell +4 more
wiley +1 more source
Sharp bounds on enstrophy growth in the viscous Burgers equation
, 2012 We use the Cole--Hopf transformation and the Laplace method for the heat equation to justify the numerical results on enstrophy growth in the viscous Burgers equation on the unit circle.
Ablowitz M., Miller P., Whitham G. B.
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Surviving the winds through pattern formation: Mathematical modelling of heather stripes in Scotland
Journal of Ecology, Volume 113, Issue 12, Page 3510-3521, December 2025.Heather (Calluna vulgaris) and bare soil sometimes form striking patterns in Scottish windy environments. Our simple mathematical model shows that interactions between vegetation, soil and wind—particularly local erosion reduction by plants and upwind shelter of plants by microtopography—are sufficient to generate these self‐organised patterns and ...
Toyo Vignal +3 more
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Noise, Bifurcations, and Modeling of Interacting Particle Systems
, 2011 We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay.
Forgoston, Eric +2 more
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Engineering Reports, Volume 7, Issue 10, October 2025.The 2D, steady, laminar forced convection of a Carreau hybrid nanofluid (MgO–Ag/water) in a modified T‐shaped cavity with two outlets and a bottom inlet is investigated numerically in current work. The cold nanofluid enters from the inlet at the bottom with Tc$$ {T}_c $$ and velocity uc$$ {u}_c $$, while the vertical L‐shaped walls (W1$$ {W}_1 $$ and ...
Inayat Ullah +5 more
wiley +1 more source
Spectral stability of nonlinear waves in KdV-type evolution equations
, 2013 This paper concerns spectral stability of nonlinear waves in KdV-type evolution equations. The relevant eigenvalue problem is defined by the composition of an unbounded self-adjoint operator with a finite number of negative eigenvalues and an unbounded ...
ANGULO +36 more
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Searching for Universality of Turbulence in the Earth's Magnetosphere
Journal of Geophysical Research: Space Physics, Volume 130, Issue 10, October 2025.Abstract Turbulence in space plasmas remains a fundamental challenge, and Earth's magnetosphere (MSP) offers a natural laboratory for its study. Using high‐resolution magnetic field data from the Magnetospheric Multiscale (MMS) mission, we extend a stochastic Markovian framework to analyze turbulence across 10 diverse magnetospheric regions, including ...
Dariusz Wójcik, Wiesław M. Macek
wiley +1 more source