September  2009, 2(3): i-ii. doi: 10.3934/dcdss.2009.2.3i



University of Virginia, Department of Mathematics, Charlottesville, VA 22901


Graduate School of Mathematics, Kyushu University, Fukuoka 810-8560


Department of Mathematics, University of Tennessee, Knoxville, TN 37096-1300

Published  June 2009

This issue comprises a selection of papers in the general area of analysis and control of systems described by non-linear evolutionary equations, that are relevant to applications in mathematical physics. Models considered range from classical non-linear wave and heat equations to quite complex systems consisting of two or more coupled equations. In this latter case, coupling often occurs between two different types of dynamics - say, a hyperbolic component and a parabolic component - with coupling in various forms, throughout the interior of the spatial domain and/or at the interface between the two media. Illustrations include systems of non-linear thermo-elasticity; fluid structure- and acoustic-structure interactions; electro-magnetism among others.
    Dynamical models such as these are frequently encountered in modern technological applications. In recent years, they have attracted considerable attention and many new results and developments have become available.
    Papers collected in this volume address and present some of these advances, with particular emphasis on newly developed techniques that bear on further progress in the field.

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Citation: Irena Lasiecka, Mitsuhiro Nakao, Grozdena Todorova. Preface. Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : i-ii. doi: 10.3934/dcdss.2009.2.3i

Ana Alonso Rodríguez, Luigi C. Berselli, Alessandro Morando, Paola Trebeschi. Preface. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : i-i. doi: 10.3934/dcdss.2016.9.1i


M. Liero, S. Reichelt, G. Schneider, F. Theil, M. Thomas. Preface. Discrete & Continuous Dynamical Systems - S, 2021, 14 (1) : i-iv. doi: 10.3934/dcdss.2020455


Philippe G. Ciarlet. Preface. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : i-ii. doi: 10.3934/dcds.2009.23.1i


Thibaut Deheuvels, Antoine Henrot, El Haj Laamri, Alain Miranville, Jean Rodolphe Roche, Didier Schmitt. Preface. Discrete & Continuous Dynamical Systems - S, 2021, 14 (2) : i-vi. doi: 10.3934/dcdss.2020437


Michal Beneš, Tetsuya Ishiwata, Masato Kimura, Shigetoshi Yazaki. Preface. Discrete & Continuous Dynamical Systems - S, 2021, 14 (3) : ⅰ-ⅰ. doi: 10.3934/dcdss.2021009


Xiaodi Li, Shengyuan Xu, Sabri Arik, Jinde Cao. Preface. Discrete & Continuous Dynamical Systems - S, 2021, 14 (4) : i-ii. doi: 10.3934/dcdss.2021024


Vieri Benci, Sunra Mosconi, Marco Squassina. Preface: Applications of mathematical analysis to problems in theoretical physics. Discrete & Continuous Dynamical Systems - S, 2020  doi: 10.3934/dcdss.2020446


Xin Guo, Lei Shi. Preface of the special issue on analysis in data science: Methods and applications. Mathematical Foundations of Computing, 2020, 3 (4) : i-ii. doi: 10.3934/mfc.2020026


Peter E. Kloeden, Yuan Lou. Preface for the special issue "20 years of DCDS-B". Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : i-ii. doi: 10.3934/dcdsb.2020372


Editorial Office. Retraction: Wei Gao and Juan L. G. Guirao, Preface. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : ⅰ-ⅰ. doi: 10.3934/dcdss.201904i


Chiun-Chuan Chen, Yuan Lou, Hirokazu Ninomiya, Peter Polacik, Xuefeng Wang. Preface: DCDS-A special issue to honor Wei-Ming Ni's 70th birthday. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : ⅰ-ⅱ. doi: 10.3934/dcds.2020171

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