Two-Dimensional Burgers Cellular Automaton
スポンサーリンク
概要
- 論文の詳細を見る
In this paper, a two-dimensional cellular automaton (CA) associated with a two-dimensional Burgers equation is presented. The 2D Burgers equation is an integrable generalization of the well-known Burgers equation, and is transformed into a 2D diffusion equation by the Cole–Hopf transformation. The CA is derived from the 2D Burgers equation by using the ultradiscrete method, which can transform dependent variables into discrete ones. Some exact solutions of the CA, such as shock wave solutions, are studied in detail. The CA is considered as a pairing model of particles that move to different directions.
- Physical Society of Japanの論文
- 2001-08-15
著者
-
Matsukidaira Junta
Department Of Applied Mathematics And Informatics Faculty Of Science And Technology Ryukoku Universi
-
Takahashi Daisuke
Department Of Applied Chemistry Faculty Of Science And Technology Keio University
-
Nishinari Katsuhiro
Department Of Aeronautics Faculty Of Engineering The University Of Tokyo
-
Nishinari Katsuhiro
Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Ohtsu 520-2194
-
Takahashi Daisuke
Department of Mathematical Sciences, Waseda University, Ohkubo, Shinjuku-ku, Tokyo 169-8555
-
Nishinari Katsuhiro
Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo
関連論文
- Effect of steam explosion pretreatment on treatment with Pleurotus ostreatus for the enzymatic hydrolysis of rice straw(ENVIRONMENTAL BIOTECHNOLOGY)
- Combinatorial Effects of Nonsteroidal Anti-inflammatory Drugs and Food Constituents on Production of Prostaglandin E_2 and Tumor Necrosis Factor-α in RAW264.7 Murine Macrophages(Food & Nutrition Science)
- An Avocado Constituent, Persenone A, Suppresses Expression of Inducible Forms of Nitric Oxide Synthase and Cyclooxygenase in Macrophages, and Hydrogen Peroxide Generation in Mouse Skin
- An Elementary Introduction to Sato Theory
- Box and Ball System with a Carrier and Ultra-Discrete Modified KdV Equation(Discrete Integrable System and Discrete Analysis)
- Extended Floor Field CA Model for Evacuation Dynamics(Cellular Automata)
- On a Discrete Soliton Equation of Toda-type Related to a Cellular Automaton
- A New System to Supply Carbon Dioxide Safely to Glaucoma Patients
- Unique Fluorescence Properties of a Cyanobacterium Gloeobacter violaceus PCC 7421: Reasons for Absence of the Long-Wavelength PSI Chi a Fluorescence at -196℃
- Two-Dimensional Burgers Cellular Automaton
- Absence of Anomalous Tunneling of Bogoliubov Excitations for Arbitrary Potential Barrier under the Critical Condensate Current(General)
- Solutions of the Broer-Kaup System through Its Trilinear Form
- Radiation Therapy for Small Choroidal Neovascularization in Age-related Macular Degeneration
- On a discrete optimal velocity model and its continuous and ultradiscrete relatives
- Ultradiscrete Soliton Solution of Permanent Type(General)
- Bilinear Form Approach to the Self-Dual Yang-Mills Equations and Integrable Systems in(2+1)-Dimension
- Observation of Congested Two-lane Traffic Caused by a Tunnel
- Evaluation of Fungal Pretreatments for Enzymatic Saccharification of Rice Straw
- Properties of the Magma and Modified Magma Equations
- The Static Tensile Strengths of a Random Chopped Glass/Polypropylene Composite Estimated by a Percolation Model
- Exact Solutions for Initial Value Problems of the Davey-Stewartson I Equation under Some Localized Initial Conditions
- Conventional sex roles in an amphidromous Rhinogobius goby in which females exhibit nuptial coloration
- Male-male competition for large nests as a determinant of male mating success in a Japanese stream goby, Rhinogobius sp. DA
- Collective Traffic-like Movement of Ants on a Trail : Dynamical Phases and Phase Transitions(General)
- Target-selective degradation of cancer-related proteins by novel photosensitizers for molecular-targeted photodynamic therapy
- Hydrolysis of Disaccharides by Metal Species in Neutral Homogeneous Solutions
- Oscillatory Flow in Loop Channel with Right Angle Branch and Reservoirs
- Ultrasound Biomicroscopic Classification of Zonules in Exfoliation Syndrome
- A Soliton Cellular Automaton
- Numerical Studies on Stability of Dromion and Its Collisions
- The Davey-Stewartson Equation with Perturbation due to Inhomogeteity
- A New-Type of Soliton Behavior in a Two Dimensional Plasma System
- Effect of Sodium Dodecyl Sulfate on Coil-Globule Transitions of Poly(N-isopropyl acrylamide)
- The Synthesis of Carbohydrate Microarrays by S-Alkylation of the Glass-supported 2-Bromoacetamides
- Integrable Four-Dimensional Nonlinear Lattice Expressed by Trilinear Form
- Explicit Solutions of Magma Equation
- Creation of Novel Biofunctional Molecules for Target-Selective Photodegradation of Proteins and Carbohydrates : A Synthetic and Chemical Biological Study for the Post-Genome Era (Special Issue in English)
- Insights of stroke in aortic arch surgery : identification of significant risk factors and surgical implication
- Two-Dimensional Burgers Cellular Automaton
- Creation of Novel Biofunctional Molecules for Target-Selective Photodegradation of Proteins and Carbohydrates : A Synthetic and Chemical Biological Study for the Post-Genome Era
- Excluded volume effect in queueing theory
- Hemorrhagic-acquired factor XIII deficiency associated with tocilizumab for treatment of rheumatoid arthritis