Titlebook: Recent Advances in PDEs: Analysis, Numerics and Control; In Honor of Prof. Fe Anna Doubova,Manuel González-Burgos,Mercedes Marín Book 2018

invulnerable

A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations,der a viscous, incompressible Newtonian fluid in a time dependent domain which may present large deformations but no topological changes at interfaces. Pure-Lagrangian methods are useful for solving these problems because the convective term disappears, the computational domain is independent of tim

压倒性胜利

Lubrication Theory and Viscous Shallow-Water Equations,h, . (1998)] from the viscous shallow-water equations with drag terms and surface tension effect in the one-dimensional in space case. We consider strong and weak solutions and propose simple adaptation of recent relative entropy tools already developed by the first and third author. Note that the v

Frenetic

感情脆弱

mettlesome

Local Null Controllability of the ,-Dimensional Ladyzhenskaya-Smagorinsky with ,-1 Scalar Controls,al and nonlocal nonlinearities: the usual transport terms and a turbulent viscosity that depends on the global in space energy dissipated by the mean flow. We prove that the .-systems are locally null-controllable with .-1 scalar controls in an arbitrary control domain.

transplantation

acclimate

Control of Random PDEs: An Overview, following topics are considered: uncertainty modelling in control problems using probabilistic tools, variational formulation of partial differential equations with random inputs, robust and risk averse formulations of optimal control problems, and numerical resolution methods. The exposition is fo

懦夫

The Dubovitskii and Milyutin Formalism Applied to an Optimal Control Problem in a Solidification Molinear parabolic PDE system of two equations for the unknowns the (reduced) temperature and a phase field function, with a temperature source term. The optimal control problem is defined via the source term as the control function and the objective functional given by the comparison in ..-norms of t

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vibrant

Control of Random PDEs: An Overview,cused on running the path starting from uncertainty modelling and ending in the practical implementation of numerical schemes for the numerical approximation of the considered problems. To this end, a selected number of illustrative examples is analysed.