VOL. 3 · NO. 4 | 2021
 
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Articles
Yuan Gao, Anya E. Katsevich, Jian-Guo Liu, Jianfeng Lu, Jeremy L. Marzuola
Pure Appl. Anal. 3 (4), 595-612, (2021) DOI: 10.2140/paa.2021.3.595
KEYWORDS: crystal surface relaxation, gradient flows, metropolis rates, 35Q70, 82D25
Olivier Glass, József J. Kolumbán, Franck Sueur
Pure Appl. Anal. 3 (4), 613-652, (2021) DOI: 10.2140/paa.2021.3.613
KEYWORDS: trajectory tracking, fluid-solid interaction, coupled ODE-PDE system, fluid mechanics, Euler equation, control problem, 76B75, 93C20
Nikolai Leopold, David Mitrouskas, Simone Rademacher, Benjamin Schlein, Robert Seiringer
Pure Appl. Anal. 3 (4), 653-676, (2021) DOI: 10.2140/paa.2021.3.653
KEYWORDS: polaron dynamics, Landau–Pekar equations, quantum fluctuations, Bogoliubov dynamics, 35Q40, 46N50
Lea Bossmann, Sören Petrat, Peter Pickl, Avy Soffer
Pure Appl. Anal. 3 (4), 677-726, (2021) DOI: 10.2140/paa.2021.3.677
KEYWORDS: Bose–Einstein condensate, Perturbation theory, asymptotic expansion, quantum many-body dynamics, Effective equations, Bogoliubov equation, 35Q40, 35Q55, 81Q05, 82C10
Daniel Matthes, Eva-Maria Rott
Pure Appl. Anal. 3 (4), 727-764, (2021) DOI: 10.2140/paa.2021.3.727
KEYWORDS: higher-order diffusion equations, quantum-diffusion model, Wasserstein gradient flow, flow interchange estimate, long-time behavior, Linearization, 35K30, 35B40, 35B45
Federico Cacciafesta, Marta Strani, Benjamin Texier
Pure Appl. Anal. 3 (4), 765-788, (2021) DOI: 10.2140/paa.2021.3.765
KEYWORDS: Euler equations, dispersive regularization, van der Waals pressure, 35Q31, 35Q55, 76N10
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas, Teemu Saksala
Pure Appl. Anal. 3 (4), 789-811, (2021) DOI: 10.2140/paa.2021.3.789
KEYWORDS: Finsler manifold, scattering relation, distance functions, anisotropic elasticity, 86A22, 53Z05, 53C60
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