Model Analysis: Theoretical Global Seismology

Construction and analysis of equations

  • Calculus of variations and elastic-gravitational deformations Chapter 1 pdf
  • Linearized variational model of elastic-gravitational deformations Chapter 2 pdf
  • Analysis of the system of elastic-gravitational equations Chapter 3 pdf
  • Dynamic ruptures generating seismic waves Chapter 4 pdf

Spectrum

  • ‘Characterization of the spectra of rotating truncated gas planets and inertia-gravity modes’, with S. Holman and A. Iantchenko, not available yet

Analysis of solutions

  • WKB eigenfunctions and EBK quantization in SNREI models, not yet available
  • Microlocal analysis of body waves, not yet available
  • ‘Semiclassical analysis of elastic surface waves’ (2021), with A. Iantchenko, G. Nakamura and J. Zhai View pdf

Viscoelasticity and dashpot-spring models

  • ‘Resolvent estimates for viscoelastic systems of extended Maxwell type and their applications’, SIAM J. Math. Anal. 56 (2024) 5782-5806, with M. Kimura, C.-L. Lin and G. Nakamura View pdf
  • ‘Anisotropic extended Burgers model, its relaxation tensor and properties of the associated Boltzmann viscoelastic system’ (2024), with M. Kimura, C.-L. Lin, G. Nakamura and K. Tanuma View pdf

Scattering and interfaces

  • ‘Diffraction from conormal singularities’, Annales Scientifiques de l’ENS 48 (2015) 351-408, with G. Uhlmann and A. Vasy View pdf
  • ‘Nonlinear responses from the interaction of two progressing waves at an interface’, Annales de l’Institut Henri Poincaré/ Analyse non linéaire 36 (2019) 347-363, with G. Uhlmann and Y. Wang View pdf
  • ‘Robin surface waves conversion to body waves at an edge’, with G. Uhlmann and A. Vasy, not available yet

Fractures, flow and friction

  • ‘Coupling of flow, contact mechanics and friction, generating waves in a fractured porous medium’ (2023), with K. Kumar View pdf
  • ‘Nonlocal friction coupled to the elastic wave equation‘, with K. Kumar, not available yet

Numerical Schemes in Seismology »

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