Search
Search Results
-
Comparison methods for a Keller–Segel-type model of pattern formations with density-suppressed motilities
This paper is concerned with global existence of classical solutions as well as occurrence of infinite-time blowups to the following fully parabolic...
-
Numerical Study on the Self-organized Pattern Formation of Run-and-Tumble Chemotactic Bacteria
The self-organized pattern formation of run-and-tumble chemotactic bacteria in a periodic square domain is numerically investigated based on a...
-
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model
In this paper, we investigate the periodic pattern formations with spatial multi-peaks in a classic diffusive Holling-Tanner predator-prey model with...
-
Dynamics of Asymmetric Dissipative Systems From Traffic Jam to Collective Motion
This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS). Asymmetric...
-
Adaptive Motions of ADS in Wasserstein Metric Space
In Chap. 8 we have studied the variations of macroscopic formation organized by non-equilibrium...
-
Dynamics of a Predator–Prey Model with Memory-Based Diffusion
In this paper, we propose and analyze a diffusive predator–prey model with memory-based diffusion, which is described by a delayed predator-taxis...
-
Well-Posedness and Stability Analysis of a Landscape Evolution Model
In this paper, we study a system of partial differential equations modeling the evolution of a landscape in order to describe the mechanisms of...
-
Coarse Analysis of Collective Motions by Diffusion Maps
Investigations in this book are focused on the macroscopic aspects of collective phenomena in asymmetric dissipative systems, such as a jam...
-
Simulation of Molecular Cloud Collision Dynamics Using Heterogeneous Systems
AbstractThe results of computer simulation of the process of collision of rotating molecular clouds in the interstellar medium are presented. As...
-
Application of the Grid-Characteristic Method to the Solution of Direct Problems in the Seismic Exploration of Fractured Formations (Review)
AbstractThe papers dedicated to the procedures of solving direct problems in seismic exploration of fractured formations are considered in this...
-
Linear and energy stable schemes for the Swift–Hohenberg equation with quadratic-cubic nonlinearity based on a modified scalar auxiliary variable approach
In this study, we develop linear and energy stable numerical schemes for the Swift–Hohenberg equation with quadratic-cubic nonlinearity. A modified...
-
Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems
Some quantities in reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local...
-
Properties of Motzkin triangle and t-generalized Motzkin sequences
We consider the Motzkin triangle as the zero-free part of a well-defined plane array. The right diagonal leg of the triangle is the Motzkin sequence,...
-
Emergent Phenomena and Overview of Existing Models
Emergence is a phenomenon of reaching collective outcome in a given system of agents which follow a prescribed protocol of communication. Some of the...
-
Dynamical complexities and pattern formation in an eco-epidemiological model with prey infection and harvesting
In this work, we have studied the emergence of complex dynamics in a hypertrophic lake ecosystem. We have proposed and analysed a three-tier...
-
Multiphase Fluid Flow in Porous Media
Two- and three-phase flows in porous media and materials constitute a set of important phenomena that occur in a wide variety contexts, from enhanced...
-
Kinetic Equations and Self-organized Band Formations
Self-organization is a ubiquitous phenomenon in nature which can be observed in a variety of different contexts and scales, with examples ranging...
-
Analysis of Cluster Structures by Different Similarity Measures
The analysis of cluster formations used in applied problems is given. In various studies, data segmentation is usually performed by only one form of...
-
Learning from Folding Paper to Develop Folding Mechanisms
This research proposes a method for designers to develop kinetic structures derived from folding patterns, which are viable in architecture based on...
