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Introduction
1. | Mathematics Department, South Hall, Room 6707, University of California, Santa Barbara, CA 93106, United States |
Understanding processes such as crack propagation and fracture, or solid state phase transformations is fundamental in the manufacture of new metallic alloys, designed for specific applications. In many cases, this involves relating the desired properties of a material, to the structure of the atoms and phases in that material. Advances in this area are presented in the papers of Alikakos, Bates, Cahn, Fife, Fusco, and Tanoglu, and in the paper of Yu and Du.
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[1] |
Adrian Constantin. Introduction. Discrete and Continuous Dynamical Systems, 2014, 34 (8) : i-iii. doi: 10.3934/dcds.2014.34.8i |
[2] |
Xavier Bressaud, Y. Lacroix, Carlangelo Liverani, Sandro Vaienti. Introduction. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : i-ii. doi: 10.3934/dcds.2006.15.1i |
[3] |
Alain Miranville, H. M. Yin, R. Showalter. Introduction. Discrete and Continuous Dynamical Systems, 2006, 15 (4) : i-ii. doi: 10.3934/dcds.2006.15.4i |
[4] |
Thierry de la Rue. An introduction to joinings in ergodic theory. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 121-142. doi: 10.3934/dcds.2006.15.121 |
[5] |
Jiongmin Yong. Stochastic optimal control — A concise introduction. Mathematical Control and Related Fields, 2020 doi: 10.3934/mcrf.2020027 |
[6] |
Adrian Constantin, Joachim Escher. Introduction to the special issue on hydrodynamic model equations. Communications on Pure and Applied Analysis, 2012, 11 (4) : i-iii. doi: 10.3934/cpaa.2012.11.4i |
[7] |
Nikita Kalinin, Mikhail Shkolnikov. Introduction to tropical series and wave dynamic on them. Discrete and Continuous Dynamical Systems, 2018, 38 (6) : 2827-2849. doi: 10.3934/dcds.2018120 |
[8] |
Chjan C. Lim, Ka Kit Tung. Introduction: Recent advances in vortex dynamics and turbulence. Discrete and Continuous Dynamical Systems - B, 2005, 5 (1) : i-i. doi: 10.3934/dcdsb.2005.5.1i |
[9] |
Joseph Geunes, Panos M. Pardalos. Introduction to the Special Issue on Supply Chain Optimization. Journal of Industrial and Management Optimization, 2007, 3 (1) : i-ii. doi: 10.3934/jimo.2007.3.1i |
[10] |
Yuan Lou, Thomas Nagylaki, Wei-Ming Ni. An introduction to migration-selection PDE models. Discrete and Continuous Dynamical Systems, 2013, 33 (10) : 4349-4373. doi: 10.3934/dcds.2013.33.4349 |
[11] |
Vyacheslav K. Isaev, Vyacheslav V. Zolotukhin. Introduction to the theory of splines with an optimal mesh. Linear Chebyshev splines and applications. Numerical Algebra, Control and Optimization, 2013, 3 (3) : 471-489. doi: 10.3934/naco.2013.3.471 |
[12] |
Qi Lü, Xu Zhang. A concise introduction to control theory for stochastic partial differential equations. Mathematical Control and Related Fields, 2021 doi: 10.3934/mcrf.2021020 |
[13] |
Yang Yu. Introduction: Special issue on computational intelligence methods for big data and information analytics. Big Data & Information Analytics, 2017, 2 (1) : i-ii. doi: 10.3934/bdia.201701i |
[14] |
Pedro M. Jordan, Barbara Kaltenbacher. Introduction to the special volume ``Mathematics of nonlinear acoustics: New approaches in analysis and modeling''. Evolution Equations and Control Theory, 2016, 5 (3) : i-ii. doi: 10.3934/eect.201603i |
[15] |
Lorena Bociu, Barbara Kaltenbacher, Petronela Radu. Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications. Evolution Equations and Control Theory, 2013, 2 (2) : i-ii. doi: 10.3934/eect.2013.2.2i |
[16] |
Jean Dolbeault. An introduction to kinetic equations: the Vlasov-Poisson system and the Boltzmann equation. Discrete and Continuous Dynamical Systems, 2002, 8 (2) : 361-380. doi: 10.3934/dcds.2002.8.361 |
[17] |
Giovanni Forni, Carlos Matheus. Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. Journal of Modern Dynamics, 2014, 8 (3&4) : 271-436. doi: 10.3934/jmd.2014.8.271 |
[18] |
Felipe Alvarez, Alexandre Cabot. Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term. Discrete and Continuous Dynamical Systems, 2006, 15 (3) : 921-938. doi: 10.3934/dcds.2006.15.921 |
[19] |
Pedro M. Jordan, Barbara Kaltenbacher. Introduction to the special issue "Nonlinear wave phenomena in continuum physics: Some recent findings". Evolution Equations and Control Theory, 2019, 8 (1) : i-iii. doi: 10.3934/eect.20191i |
[20] |
Yuanyuan Jiao, Yuhang Li, Jun Du. Analysis on the influence of retailer's introduction of store brand under manufacturer's product line strategy. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021220 |
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