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Intersections of several disks of the Riemann sphere as $K$-spectral sets
A variational model allowing both smooth and sharp phase boundaries in solids
1. | Mathematical Institute, University of Oxford, 24--29 St Giles', Oxford OX1 3LB, United Kingdom |
2. | Mathematical Institute, University of Oxford, 24--29 St Giles, Oxford OX1 3LB, United Kingdom |
[1] |
Markus Gahn. Multi-scale modeling of processes in porous media - coupling reaction-diffusion processes in the solid and the fluid phase and on the separating interfaces. Discrete and Continuous Dynamical Systems - B, 2019, 24 (12) : 6511-6531. doi: 10.3934/dcdsb.2019151 |
[2] |
Sylvie Benzoni-Gavage, Laurent Chupin, Didier Jamet, Julien Vovelle. On a phase field model for solid-liquid phase transitions. Discrete and Continuous Dynamical Systems, 2012, 32 (6) : 1997-2025. doi: 10.3934/dcds.2012.32.1997 |
[3] |
Matteo Novaga, Enrico Valdinoci. The geometry of mesoscopic phase transition interfaces. Discrete and Continuous Dynamical Systems, 2007, 19 (4) : 777-798. doi: 10.3934/dcds.2007.19.777 |
[4] |
Youjun Deng, Hongyu Liu, Xianchao Wang, Dong Wei, Liyan Zhu. Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements. Electronic Research Archive, 2021, 29 (5) : 3081-3096. doi: 10.3934/era.2021027 |
[5] |
Michael L. Frankel, Victor Roytburd. Dynamical structure of one-phase model of solid combustion. Conference Publications, 2005, 2005 (Special) : 287-296. doi: 10.3934/proc.2005.2005.287 |
[6] |
Amin Boumenir. Determining the shape of a solid of revolution. Mathematical Control and Related Fields, 2019, 9 (3) : 509-515. doi: 10.3934/mcrf.2019023 |
[7] |
Shin-Ichiro Ei, Kei Nishi, Yasumasa Nishiura, Takashi Teramoto. Annihilation of two interfaces in a hybrid system. Discrete and Continuous Dynamical Systems - S, 2015, 8 (5) : 857-869. doi: 10.3934/dcdss.2015.8.857 |
[8] |
Mario Ohlberger, Ben Schweizer. Modelling of interfaces in unsaturated porous media. Conference Publications, 2007, 2007 (Special) : 794-803. doi: 10.3934/proc.2007.2007.794 |
[9] |
N. D. Alikakos, P. W. Bates, J. W. Cahn, P. C. Fife, G. Fusco, G. B. Tanoglu. Analysis of a corner layer problem in anisotropic interfaces. Discrete and Continuous Dynamical Systems - B, 2006, 6 (2) : 237-255. doi: 10.3934/dcdsb.2006.6.237 |
[10] |
Raffaele Folino, Corrado Lattanzio, Corrado Mascia. Motion of interfaces for a damped hyperbolic Allen–Cahn equation. Communications on Pure and Applied Analysis, 2020, 19 (9) : 4507-4543. doi: 10.3934/cpaa.2020205 |
[11] |
Raffaele Folino, Corrado Lattanzio, Corrado Mascia. Motion of interfaces for a damped hyperbolic Allen–Cahn equation. Communications on Pure and Applied Analysis, 2020, 19 (9) : 4507-4543. doi: 10.3934/cpaa.2020205 |
[12] |
Claude-Michel Brauner, Luca Lorenzi. Instability of free interfaces in premixed flame propagation. Discrete and Continuous Dynamical Systems - S, 2021, 14 (2) : 575-596. doi: 10.3934/dcdss.2020363 |
[13] |
Tommaso Lorenzi, Alexander Lorz, Benoît Perthame. On interfaces between cell populations with different mobilities. Kinetic and Related Models, 2017, 10 (1) : 299-311. doi: 10.3934/krm.2017012 |
[14] |
Marius Mitrea. On Bojarski's index formula for nonsmooth interfaces. Electronic Research Announcements, 1999, 5: 40-46. |
[15] |
Luis Alvarez, Jesús Ildefonso Díaz. On the retention of the interfaces in some elliptic and parabolic nonlinear problems. Discrete and Continuous Dynamical Systems, 2009, 25 (1) : 1-17. doi: 10.3934/dcds.2009.25.1 |
[16] |
Manuel del Pino, Michal Kowalczyk, Juncheng Wei. The Jacobi-Toda system and foliated interfaces. Discrete and Continuous Dynamical Systems, 2010, 28 (3) : 975-1006. doi: 10.3934/dcds.2010.28.975 |
[17] |
Volker Elling. Compressible vortex sheets separating from solid boundaries. Discrete and Continuous Dynamical Systems, 2016, 36 (12) : 6781-6797. doi: 10.3934/dcds.2016095 |
[18] |
Henk W. Broer, Carles Simó, Renato Vitolo. Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 871-905. doi: 10.3934/dcdsb.2010.14.871 |
[19] |
Jianjun Paul Tian, Kendall Stone, Thomas John Wallin. A simplified mathematical model of solid tumor regrowth with therapies. Conference Publications, 2009, 2009 (Special) : 771-779. doi: 10.3934/proc.2009.2009.771 |
[20] |
Leda Bucciantini, Angiolo Farina, Antonio Fasano. Flows in porous media with erosion of the solid matrix. Networks and Heterogeneous Media, 2010, 5 (1) : 63-95. doi: 10.3934/nhm.2010.5.63 |
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