This book contains the main results of the talks given at the workshop “Recent Advances in PDEs: Analysis, Numerics and Control”, which took place in Sevilla (Spain) on January 25-27, 2017. The work comprises 12 contributions given by high-level researchers in the partial differential equation (PDE) area to celebrate the 60th anniversary of Enrique Fernández-Cara (University of Sevilla). The main topics covered here are: Control and inverse problems, Analysis of Fluid mechanics and Numerical Analysis. The work is devoted to researchers in these fields.
Essential Spectrum and Null Controllability of Some Parabolic Equations
Farid Ammar Khodja, Cédric Dupaix
págs. 1-15
Well-Posedness and Asymptotic Behavior for a Nonlinear Wave Equation
Fágner Dias Araruna, Federico De Olivera, Milton de Lacerda Oliveira, Shirley Maria Santos Souza
págs. 17-32
A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations
Marta Benítez, Alfredo Bermúdez de Castro y López-Varela , Pedro Fontán Muiños
págs. 33-59
Lubrication Theory and Viscous Shallow-Water Equations
págs. 61-71
págs. 73-94
On the Design of Algebraic Fractional Step Methods for Viscoelastic Incompressible Flows
págs. 95-115
Some Remarks on the Hierarchic Control for Coupled Parabolic PDEs
Víctor Hernández Santamaría, M. Luz de Teresa de Oteiza
págs. 117-137
Local Null Controllability of the N-Dimensional Ladyzhenskaya-Smagorinsky with N-1 Scalar Controls
Dany Nina Huaman, Juan Límaco, Miguel R. Nuñez Chávez
págs. 139-158
Numerical Estimations of the Cost of Boundary Controls for the Equation y t − εy xx + My x = 0 with Respect to ε
Arnaud Münch
págs. 159-191
Control of Random PDEs: An Overview
Francisco J. Marín, Jesús Martínez Frutos , Francisco Periago Esparza
págs. 193-210
Aníbal Coronel, Francisco Manuel Guillén González , Francisco Marques Lopes, Marko Antonio Rojas-Medar
págs. 211-231
págs. 233-249
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