| 2018Richard M. Höfer
The inertialess limit of particle sedimentation modeled by the Vlasov-Stokes equations
SIAM J. Math. Anal., 50(5): 5446--5476 2018
10.1137/18M1165554
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| Richard M. Höfer
Sedimentation of Inertialess Particles in Stokes Flows
Communications in Mathematical Physics, 360(1): 55--101 2018
10.1007/s00220-018-3131-y
Abstract: We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles in the case of a dilute system in which interactions between particles are still important. In the relevant time scale, we rigorously prove convergence of the dynamics to the solution of a macroscopic equation. This macroscopic equation resembles the Stokes equations for a fluid of variable density subject to gravitation. |
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| Martin Huesmann and Florian Stebegg
Monotonicity preserving transformations of MOT and SEP
Stochastic Process. Appl., 128(4): 1114--1134 2018
10.1016/j.spa.2017.07.005
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| R. D. James, A. Nota and JJL Velázquez
Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy
2018
https://arxiv.org/abs/1710.03653
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| Herbert Koch and Daniel Tataru
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension
Duke Mathematical Journal, 167(17): 3207â3313 2018
https://arxiv.org/abs/1607.02534
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| Herbert Koch and Xian Liao
Conserved energies for the one dimensional Gross-Pitaevskii equation: small energy case
2018
https://arxiv.org/abs/1801.08386
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| Eva Kopfer and Karl-Theodor Sturm
Heat flow on time-dependent metric measure spaces and super-Ricci flows
Comm. Pure Appl. Math., 71(12): 2500--2608 2018
10.1002/cpa.21766
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| Eva Kopfer
Gradient flow for the Boltzmann entropy and Cheeger's energy on time-dependent metric measure spaces
Calc. Var. Partial Differential Equations, 57(1): Art. 20, 40 2018
10.1007/s00526-017-1287-5
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| Anna Kraut and Anton Bovier
From adaptive dynamics to adaptive walks
2018
https://arxiv.org/abs/1810.13188
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| Janna Lierl and Karl-Theodor Sturm
Neumann heat flow and gradient flow for the entropy on non-convex domains
Calc. Var. Partial Differential Equations, 57(1): Art. 25, 22 2018
10.1007/s00526-017-1292-8
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| Jani Lukkarinen, Mattheo Marcozzi and Alessia Nota
Summability of connected correlation functions of coupled lattice fields
J. Stat. Phys., 171 (2): 189-206 2018
https://link.springer.com/article/10.1007/s10955-018-2000-6
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| Muhittin Mungan and M. Mert Terzi
The structure of state transition graphs in hysteresis models with return point memory. I. General Theory
2018
https://arxiv.org/abs/1802.03096
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| B. Niethammer, A. Nota, S. Throm and J.J.L. Velázquez
Self-similar asymptotic behavior for the solutions of a linear coagulation equation
2018
https://arxiv.org/abs/1804.08886
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| B. Niethammer and J. J. L. Velázquez
Oscillatory traveling wave solutions for coagulation equations
Quart. Appl. Math., 76(1): 153--188 2018
10.1090/qam/1478
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| Angelo Profeta and Karl-Theodor Sturm
Heat ow with Dirichlet boundary conditions via optimal transport and gluing of mm spaces
arxiv e-print 1809.00936 2018
https://arxiv.org/abs/1809.00936
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| Celia Reina, Landry Fokoua Djodom, Michael Ortiz and Sergio Conti
Kinematics of elasto-plasticity: Validity and limits of applicability of $F=F_eF_p$ for general three-dimensional deformations
Journal of the Mechanics and Physics of Solids, 121: 99--113 2018
10.1016/j.jmps.2018.07.006
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| W. Schill, S. Heyden, S. Conti and M. Ortiz
The anomalous yield behavior of fused silica glass
Journal of the Mechanics and Physics of Solids, 113: 105 - 125 2018
10.1016/j.jmps.2018.01.004
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| Diogo Oliveira e Silva, Christoph Thiele and Pavel Zorin-Kranich
Band-limited maximizers for a Fourier extension inequality on the circle
arXiv e-prints: arXiv:1806.06605 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180606605S
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| Diogo Oliveira e Silva and René Quilodrán
A comparison principle for convolution measures with applications
arXiv e-prints: arXiv:1804.10463 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180410463S
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| Karl-Theodor Sturm
Super-Ricci flows for metric measure spaces
J. Funct. Anal., 275(12): 3504--3569 2018
10.1016/j.jfa.2018.07.014
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