Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences
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Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences
Theoretical Predictions Compared with Data
Dichone, Bonni J.; Wollkind, David J.
Springer International Publishing AG
05/2018
607
Dura
Inglês
9783319735177
15 a 20 dias
1105
Descrição não disponível.
Introduction.- Part I.- Canonical Projectile Problem: Finding the Escape Velocity of the Earth.- Of Mites and Models.- Canonical Soap Film Problem.- Heat Conduction in a Finite Bar with a Linear Source.- Heat Conduction in a Semi-Infinite Bar.- Initiation of Cellular Slime Mold Aggregation Viewed as an Instability.- Chemical Turning Patterns and Diffusive Instabilities.- Part II.- Governing Equations of Fluid Mechanics.- Boundary Conditions for Fluid Mechanics.- Subsonic Sound Waves Viewed as a Linear Perturbation in an Inviscid Fluid.- Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid.- Viscous Fluid Flows.- Blasius Flow Past a Flat Plate.- Part III.- Rayleigh-Bernard Natural Convection Problem.- Heat Conduction in a Finite Bar with a Nonlinear Source.- Nonlinear Optical Ring-Cavity Model Driven by a Gas Laser.- Vegetative Flat Dryland Rhombic Pattern Formation Driven by Root Suction.- Part IV.- Calculus Variations Revisited plus the Gamma and Bessel Functions.-Alternate Methods of Solution for Heat and Wave Equation Problems.- Finite Mathematical Models.- Concluding Capstone Problems.
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Mathematical Modeling;Perturbation Techniques;Stability Methods;Calculus of Variations;Pattern Formation;Asymptotic Expansions;Special Functions;Continuum Mechanics
Introduction.- Part I.- Canonical Projectile Problem: Finding the Escape Velocity of the Earth.- Of Mites and Models.- Canonical Soap Film Problem.- Heat Conduction in a Finite Bar with a Linear Source.- Heat Conduction in a Semi-Infinite Bar.- Initiation of Cellular Slime Mold Aggregation Viewed as an Instability.- Chemical Turning Patterns and Diffusive Instabilities.- Part II.- Governing Equations of Fluid Mechanics.- Boundary Conditions for Fluid Mechanics.- Subsonic Sound Waves Viewed as a Linear Perturbation in an Inviscid Fluid.- Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid.- Viscous Fluid Flows.- Blasius Flow Past a Flat Plate.- Part III.- Rayleigh-Bernard Natural Convection Problem.- Heat Conduction in a Finite Bar with a Nonlinear Source.- Nonlinear Optical Ring-Cavity Model Driven by a Gas Laser.- Vegetative Flat Dryland Rhombic Pattern Formation Driven by Root Suction.- Part IV.- Calculus Variations Revisited plus the Gamma and Bessel Functions.-Alternate Methods of Solution for Heat and Wave Equation Problems.- Finite Mathematical Models.- Concluding Capstone Problems.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
