# Search results for: George Avalos

Mathematische Nachrichten > 292 > 5 > 939 - 960

_{0}to a two dimensional system of thermoelasticity:...

Mathematical Methods in the Applied Sciences > 39 > 18 > 5497 - 5512

*rational decay*is obtained for smooth solutions of a PDE model, which has been used in the literature to describe structural acoustic flows. This structural acoustics model is composed of two distinct PDE systems: (i) a wave equation, to model the interior acoustic flow within the given cavity Ω and (ii) a structurally damped elastic equation, to describe time‐evolving displacements along...

Journal of Mathematical Analysis and Applications > 2016 > 437 > 2 > 782-815

Advances in Partial Differential Equations > Modern Aspects of the Theory of Partial Differential Equations > 79-91

International Series of Numerical Mathematics > Optimal Control of Coupled Systems of Partial Differential Equations > 1-33

Nonlinear Analysis: Real World Applications > 2011 > 12 > 6 > 2985-3013

Nonlinear Analysis > 2009 > 71 > 12 > e2674-e2689

Journal of Evolution Equations > 2009 > 9 > 2 > 341-370

Journal of Differential Equations > 2008 > 245 > 3 > 737-761

Applicationes Mathematicae > 2008 > 35 > 3 > 259-280

Applied Mathematics & Optimization > 2007 > 55 > 2 > 163-184

Journal of Mathematical Analysis and Applications > 2006 > 318 > 2 > 410-432

Nonlinear Analysis > 2005 > 63 > 5-7 > e1455-e1465

Journal of Mathematical Analysis and Applications > 2004 > 294 > 1 > 34-61

Systems & Control Letters > 2003 > 50 > 5 > 331-341

^{n}, n>=2, with Lipschitz continuous boundary Γ. In the motivating structural acoustics application, Ω represents an acoustic cavity. Let Γ

_{0}be a flat subset of Γ which represents a flexible wall of the cavity. Let z denote the acoustic velocity potential, which...

Journal de mathematiques pures et appliquees > 2003 > 82 > 8 > 1047-1073

_{0}of the boundary Ω. Moreover, the coupling is accomplished through terms on the boundary. Because of the particular physical application involved-the attenuation of acoustic waves within a chamber...

Journal of Differential Equations > 2001 > 173 > 1 > 40-78

Journal de mathematiques pures et appliquees > 2000 > 79 > 10 > 1057-1072

Semigroup Forum > 1998 > 57 > 2 > 278-292