Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

Publications

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Total result(s) found: 9
  • Y​. Morimoto, S. Wang and T. Yang, Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff,  J. Stat. Phys., 165, 5, pp. 866-906, 2016
Keywords:
Boltzmannequation·Homogenuous·Measurevaluedsolutions·Characteristic functions
  • ​Y-K. Cho, Y. Morimoto, S. Wang, T. Yang, Probability measures with finite moments and the homogeneous Boltzmann equation, SIAM J. Math. Anal., 48, 4, pp.2399-2413, 2016
Keywords:
Boltzmann equation, characteristic function, Fourier transform, moment, proba- bility measure, symmetric difference operator
  • ​X. Huo, W-A. Yong, Structural stability of a 1D compressible viscoelastic fluid model, J. Diff. Eqs. 261, 2, pp. 1264-1284, 2016
Keywords:
viscoelastic fluid; structural stability
  • Y-J. Kim, M-G. Lee, Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law, (submitted)
Keywords:
Faraday’s law, anisotropic conductivity
  • ​M-G. Lee, M-S. Ko, Y-J. Kim, Orthotropic conductivity reconstruction with virtual resistive network and Faraday's law, Math. Methods Appl. Sciences, 39(5):1183-1196, 2016
Keywords:
conductivity image reconstruction, Faraday's law
  • ​A. Athanassoulis, Th. Katsaounis, I. Kyza, Regularized semiclassical limits: linear flows with infinite Lyapunov exponents, Communications in Math Sciences, 14(7):1821-1858, 2016
Keywords:
semiclassical limit for rough potential, Wigner transform, multivalued flow, selection principle, a posteriori error control
  • ​C. Lattanzio, A.E. Tzavaras, From gas dynamics with large friction to gradient flows describing diffusion theories, Communications in Partial Differential Equations, 42(2), 261-290, 2017
Keywords:
gradient flows, Wasserstein distance
  • ​Ch. Helzel, A.E. Tzavaras, A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows, Physica D: Nonlinear Phenomena, 337(1):18-29, 2016
Keywords:
macroscopic models rod-like particles
  • A. Athanassoulis, Th. Katsaounis, I. Kyza, On a selection principle for multivalued semiclassical flows​​
Keywords:
semiclassical limit for rough potential, smoothed Wigner transform, selection principle, a posteriori error control