Titlebook: Analysis, Modeling and Simulation of Multiscale Problems; Alexander Mielke Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2

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要控制

Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations,n to micrometers in horizontal direction. This paper summerizes an approach how the thermodynamics and kinetics of atomic steps can be coarse grained to continuum models for the evolving surface. We discuss phase-field approximations to the step dynamics model and apply them to various growth procedures.

不要嚴酷

Disaster and Respiratory Diseasesn to micrometers in horizontal direction. This paper summerizes an approach how the thermodynamics and kinetics of atomic steps can be coarse grained to continuum models for the evolving surface. We discuss phase-field approximations to the step dynamics model and apply them to various growth procedures.

Tempor

Urologist

Exponential Estimates in Averaging and Homogenisation,ns (Gevrey regularity). Prototypical examples are reaction-diffusion equations with heterogeneous reaction terms or rapid external forcing, nonlinear Schr?dinger equations describing dispersion management, and second-order linear elliptic equations.

Pamphlet

https://doi.org/10.1007/978-3-030-41582-2uantum equations is presented. Two classes of models are derived from a Wigner equation with elastic and inelastic collisions: quantum hydrodynamic equations and their variants, as well as quantum diffusion models.

擁護者

Medical Aspects of Volcanic Eruptions question how the microscopic Hamiltonian and the Lagrangian structures transfer to similar structures on the macroscopic level. Finally we discuss rigorous analytical convergence results of the microscopic system to the macroscopic one by either weak-convergence methods or by quantitative error bounds.

輕浮思想

Disasters and Mass Casualty Incidentsrrence of temperature from oscillation-free initial data, we discuss various Riemann problems, and the arising dispersive shock fans, which replace Lax-shocks. We predict scaling and jump conditions assuming a generic soliton at the shock front.

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