American Institute of Mathematical Sciences

Advanced
April  2015, 35(4): i-iii. doi: 10.3934/dcds.2015.35.4i

Preface: Special issue on dissipative systems and applications with emphasis on nonlocal or nonlinear diffusion problems

Georg Hetzer 1, and  Wenxian Shen 2,

1. 

Mathematics & Statistics, Auburn University, College of Sciences and Mathematics, 221 Parker, Auburn, Alabama 36849, United States
2. 

Department of Mathematics & Statistics, Auburn University, Auburn, AL 36849

Published  November 2014

The strong interest in infinite dimensional dissipative systems originated from the observation that the dynamics of large classes of partial differential equations and systems resembles the behavior known from the modern theory of finite-dimensional dynamical systems. Reaction-diffusion problems are typical examples in this context. In biological applications linear diffusion represents random dispersal of a species, but in many cases other dispersal strategies occur, which has led to models with cross diffusion and nonlocal dispersal.

For more information please click the “Full Text” above.
Citation: Georg Hetzer, Wenxian Shen. Preface: Special issue on dissipative systems and applications with emphasis on nonlocal or nonlinear diffusion problems. Discrete & Continuous Dynamical Systems, 2015, 35 (4) : i-iii. doi: 10.3934/dcds.2015.35.4i
[1]

Laura Gardini, Iryna Sushko. Preface: Special issue on nonlinear dynamical systems in economic modeling. Discrete & Continuous Dynamical Systems - B, 2021, 26 (11) : i-iv. doi: 10.3934/dcdsb.2021241
[2]

Chao Ji. Preface: Special issue on perspectives in nonlinear analysis. Discrete & Continuous Dynamical Systems - S, 2021, 14 (6) : i-i. doi: 10.3934/dcdss.2021072
[3]

Danilo Costarelli. Preface: Special issue on approximation by linear and nonlinear operators with applications. Part I. Mathematical Foundations of Computing, 2021, 4 (4) : i-ii. doi: 10.3934/mfc.2021028
[4]

Marius Tucsnak. Preface to the special issue on control of infinite dimensional systems. Mathematical Control & Related Fields, 2019, 9 (4) : i-ii. doi: 10.3934/mcrf.2019042
[5]

Andrea L. Bertozzi. Preface to special issue on mathematics of social systems. Discrete & Continuous Dynamical Systems - B, 2014, 19 (5) : i-v. doi: 10.3934/dcdsb.2014.19.5i
[6]

Stefan Siegmund, Petr Stehlík. Preface: Special issue on dynamical systems on graphs. Discrete & Continuous Dynamical Systems - B, 2018, 23 (5) : i-iii. doi: 10.3934/dcdsb.201805i
[7]

Michael Barnsley, James Keesling, Mrinal Kanti Roychowdhury. Special issue on fractal geometry, dynamical systems, and their applications. Discrete & Continuous Dynamical Systems - S, 2019, 12 (8) : i-i. doi: 10.3934/dcdss.201908i
[8]

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
[9]

Piotr Oprocha, Alfred Peris. Preface special issue: Advances and applications in qualitative studies of dynamics. Discrete & Continuous Dynamical Systems, 2015, 35 (2) : i-ii. doi: 10.3934/dcds.2015.35.2i
[10]

Genni Fragnelli, Dimitri Mugnai, Maria Cesarina Salvatori. Preface to this special issue. Discrete & Continuous Dynamical Systems - S, 2020, 13 (7) : i-ii. doi: 10.3934/dcdss.2020147
[11]

Genni Fragnelli, Luca Lorenzi, Alain Miranville. Preface to this special issue. Discrete & Continuous Dynamical Systems - S, 2020, 13 (5) : i-iii. doi: 10.3934/dcdss.2020080
[12]

Genni Fragnelli, Jerome A. Goldstein, Alain Miranville. Preface to this special issue. Discrete & Continuous Dynamical Systems - S, 2020, 13 (12) : i-ii. doi: 10.3934/dcdss.2020422
[13]

Yihong Du, Je-Chiang Tsai, Feng-Bin Wang, Xiao-Qiang Zhao. Preface of the special issue. Discrete & Continuous Dynamical Systems - B, 2021, 26 (4) : i-ii. doi: 10.3934/dcdsb.2021071
[14]

Zakia Hammouch, Dumitru Baleanu, Said Melliani. Preface: Special issue on recent advances in nonlinear dynamics and modelling. Discrete & Continuous Dynamical Systems - S, 2021, 14 (10) : i-i. doi: 10.3934/dcdss.2021094
[15]

María J. Garrido-Atienza, Oleksiy V. Kapustyan, José Valero. Preface to the special issue "Finite and infinite dimensional multivalued dynamical systems". Discrete & Continuous Dynamical Systems - B, 2017, 22 (5) : i-iv. doi: 10.3934/dcdsb.201705i
[16]

Lorena Bociu, Barbara Kaltenbacher, Petronela Radu. Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications. Evolution Equations & Control Theory, 2013, 2 (2) : i-ii. doi: 10.3934/eect.2013.2.2i
[17]

Juan Gabriel Brida, Viktoriya Semeshenko. Special Issue on: Complex systems in economics. Journal of Dynamics & Games, 2020, 7 (3) : i-ii. doi: 10.3934/jdg.2020011
[18]

Angelo Favini, Genni Fragnelli, Luca Lorenzi. Preface to the special issue in memory of Alfredo Lorenzi. Discrete & Continuous Dynamical Systems - S, 2016, 9 (3) : i-ii. doi: 10.3934/dcdss.201603i
[19]

Amina Eladdadi, Noura Yousfi, Abdessamad Tridane. Preface: Special issue on cancer modeling, analysis and control. Discrete & Continuous Dynamical Systems - B, 2013, 18 (4) : i-iii. doi: 10.3934/dcdsb.2013.18.4i
[20]

Leonardo Colombo, Manuel de León, Tomoki Ohsawa. Preface to the special issue dedicated to Anthony Bloch. Journal of Geometric Mechanics, 2021, 13 (1) : i-iii. doi: 10.3934/jgm.2021004

2020 Impact Factor: 1.392

Tools

Metrics

  • PDF downloads (53)
  • HTML views (0)
  • Cited by (0)

Other articles
by authors

[Back to Top]

Copyright © 2021 American Institute of Mathematical Sciences | Privacy Policy