𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Diffusionics: Diffusion Process Controlled by Diffusion Metamaterials

✍ Scribed by Fu-Bao Yang, Ji-Ping Huang


Publisher
Springer
Year
2024
Tongue
English
Leaves
299
Edition
2024
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion metamaterials and wave metamaterials (pioneered by J. B. Pendry in the 1990s) are recognised as the two most prominent branches in the field of metamaterials. These two branches differ in their emphasis on the diffusion equation (as the governing equation) and time-dependent characteristic lengths in diffusion metamaterials, as opposed to the wave equation (as the governing equation) and time-independent characteristic lengths in wave metamaterials. Organized into three distinct parts – 'Thermal Diffusion Metamaterials', 'Particle Diffusion Metamaterials', and 'Plasma Diffusion Metamaterials' – this book offers a rigorous exploration spanning physics, engineering, and materials science, aimed at advancing our understanding of diffusion processes controlled by diffusion metamaterials. Incorporating foundational theory, computational simulations, and laboratory experiments, the book equips researchers and scholars across these disciplines with comprehensive methods, insights, and results pivotal to the advancement of diffusion control. Beyond facilitating interdisciplinary discourse, the book serves as a catalyst for innovative breakthroughs at the crossroads of physics, thermodynamics, and materials science. Essentially, readers will acquire profound insights that empower them to spearhead advancements in diffusion science (diffusionics) and the engineering of metamaterials.


πŸ“œ SIMILAR VOLUMES


Diffusionics: Diffusion Process Controll
✍ Fu-Bao Yang, Ji-Ping Huang πŸ“‚ Library πŸ“… 2024 πŸ› Springer 🌐 English

<p><span>This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion metamaterials and wave metamaterials (pioneered by J. B. Pendry in the 1990s) are recognised as

Controlled Diffusion Processes
✍ Nikolai Vladimirovich Krylov, A.B. Aries πŸ“‚ Library πŸ“… 2008 πŸ› Springer-Verlag Gmbh 🌐 English

<P>This book deals with the optimal control of solutions of fully observable ItΓ΄-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed.</P> <P>Topics include optimal stopping; o

Controlled Diffusion Processes
✍ Nicolai V. Krylov (auth.) πŸ“‚ Library πŸ“… 1980 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><P>This book deals with the optimal control of solutions of fully observable ItΓ΄-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed.</P><P>Topics include optimal stopping;

Degenerate diffusions
✍ Daskalopoulos P., Kenig C.E. πŸ“‚ Library πŸ“… 2007 πŸ› EMS 🌐 English

The book deals with the existence, uniqueness, regularity, and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation $u_t = \Delta u^m$, $m \geq 0$, $u \geq 0$.

Degenerate Diffusions
✍ Stuart S. Antman, Massimo Lanza De Cristoforis (auth.), Wei-Ming Ni, L. A. Pelet πŸ“‚ Library πŸ“… 1993 πŸ› Springer New York 🌐 English

This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13-May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries