Stochastic Partial Differential Equations in Fluid Mechanics

This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-depe...

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Главные авторы: Flandoli, Franco (Автор), Luongo, Eliseo (Автор)
Соавтор: SpringerLink (Online service)
Формат: Электронный ресурс eКнига
Язык:английский
Опубликовано: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Редактирование:1st ed. 2023.
Серии:Lecture Notes in Mathematics, 2330
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Online-ссылка:https://doi.org/10.1007/978-981-99-0385-6
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Оглавление:
  • Chapter
  • 1 The Navier–Stokes Equations with Deterministic Rough Force, Chapter
  • 2 Stochastic Navier–Stokes Equations and State–Dependent Noise, Chapter
  • 3 Transport Noise in the Heat Equation, Chapter
  • 4 Transport Noise in the Navier–Stokes Equations, Chapter
  • 5 From Small–Scale Turbulence to Eddy Viscosity and Dissipation.