Construction and analysis of equations
- Calculus of variations and elastic-gravitational deformations Chapter 1
- Linearized variational model of elastic-gravitational deformations Chapter 2
- Analysis of the system of elastic-gravitational equations Chapter 3
- Dynamic ruptures generating seismic waves Chapter 4
Spectrum
- ‘Characterization of the spectra of truncated gas planets and inertia-gravity modes’, Z. Angew. Math. Phys. (2025) in print, with S. Holman and A. Iantchenko View
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 Chapter 8
Waveguide coupling, confusing classification of normal modes
- ‘Mixed Rayleigh-Stoneley modes: Analysis of seismic waveguide coupling and sensitivity to lower-mantle structures’, Earth and Space Open Archive ESSOAr (2021) doi:10.1002/essoar.10507372.1, with H. Matchette-Downes, J. Shi, Y. Jingchen, J. Han, and R.D. van der Hilst. View
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
- ‘Anisotropic extended Burgers model, its relaxation tensor and properties of the associated Boltzmann viscoelastic system’, SIAM J. Appl. Math. (2025) in print, with M. Kimura, C.-L. Lin, G. Nakamura and K. Tanuma View
Scattering and interfaces
- ‘Diffraction from conormal singularities’, Annales Scientifiques de l’ENS 48 (2015) 351-408, with G. Uhlmann and A. Vasy View
- ‘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
- ‘Robin surface waves conversion to body waves at an edge or rim’, 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
- ‘Nonlocal friction-elastic wave coupling: Well-posedness of seismic rupture dynamics’, with K. Kumar, not available yet
Numerical Schemes in Seismology »
