Mathematical control theory of couple PDEs

By I. Lasiecka. 2002

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On a wave equation with supercritical interior and boundary sources and damping terms (2011, background): “types of dynamics, such as structure-acoustic or fluid-structure interaction models (Lasiecka [21]).”
Long-time dynamics of von Karman semi-flows with non-linear boundary/interior damping (2007, methodology): “Uniform stabilization problem for semilinear plates with simply supported dissipative boundary conditions have been already considered in the literature [25,26,35] in the case of a single equilibrium.”
Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping (2008, background): “It is well known by now that an oscillatory wave equation can be stabilized from the boundary alone, or even portion of the boundary, provided suitable geometric conditions are imposed ([17, 16, 22, 18, 12, 9, 20] and many other references).”
ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION (2002, unknown): “[3] , 22-23 , 26-27 , [32] and references therein).”
Boundary Control of PDEs (2008, background): “Application-oriented books on control of PDEs have been dedicated to problems that arise from flexible structures [122, 103, 106, 17, 145] and from flow control [1, 64].”