Nonlinear Conservation Laws and Applications

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bressan, Alberto (Επιμελητής έκδοσης), Chen, Gui-Qiang G. (Επιμελητής έκδοσης), Lewicka, Marta (Επιμελητής έκδοσης), Wang, Dehua (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2011.
• Σειρά: The IMA Volumes in Mathematics and its Applications, 153
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Physics.; Fluids.; Dynamical Systems and Ergodic Theory.; Mathematical Methods in Physics.; Fluid- and Aerodynamics.

This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 130-31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey...

Πίνακας περιεχομένων:

• Foreword
• Preface
• Open questions in the theory of one dimensional hyperbolic conservation laws
• Multidimensional conservation laws: Overview, problems, and perspective
• Mathematical analysis of fluids in motion
• Selected topics in approximate solutions of nonlinear conservation laws
• High-resolution central schemes
• Stability and dynamics of viscous shock waves
• Mathematical aspects of a model for granular flow
• The flow associated to weakly differentiable vector fields: recent results and open problems
• Existence and uniqueness results for the continuity equation and applications to the chromatography system
• Finite energy weak solutions to the quantum hydrodynamics system
• The Monge problem in geodesic spaces
• Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow
• Transonic flows and isometric embeddings
• Well posedness and control in models based on conservation laws.-Homogenization of nonlinear partial differential equations in the context of ergodic algebras: Recent results and open problems
• Conservation laws at a node
• Nonlinear hyperbolic surface waves
• Vacuum in gas and fluid dynamics
• On radially symmetric solutions to conservation laws
• Charge transport in an incompressible fluid: New devices in computational electronics
• Localization and shear bands in high strain-rate plasticity
• Hyperbolic conservation laws on spacetimes
• Reduced theories in nonlinear elasticity
• Mathematical, physical and numerical principles essential for models of turbulent mixing
• On the Euler-Poisson equations of self-gravitating compressible fluids
• Viscous system of conservation laws: Singular limits
• A two-dimensional Riemann problem for scalar conservation laws
• Semi-hyperbolic waves in two-dimensional compressible Euler systems
• List of summer program participants.