Stochastic Porous Media Equations
ସେପ୍ଟେମ୍ବର 2016 · Springer
ଇବୁକ୍
202
ପୃଷ୍ଠାଗୁଡ଼ିକ
reportରେଟିଂ ଓ ସମୀକ୍ଷାଗୁଡ଼ିକୁ ଯାଞ୍ଚ କରାଯାଇନାହିଁ ଅଧିକ ଜାଣନ୍ତୁ
ଏହି ଇବୁକ୍ ବିଷୟରେ
Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found.
The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model".
The book will be of interest to PhD students and researchers in mathematics, physics and biology.
The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model".
The book will be of interest to PhD students and researchers in mathematics, physics and biology.
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