Hamilton’s principle and normal mode coupling in an aspherical planet with a fluid core
暂无分享,去创建一个
Andrew P. Valentine | Jeannot Trampert | David Al-Attar | Ophelia Crawford | A. Valentine | J. Trampert | D. Al‐Attar | O. Crawford | D. Al-Attar
[1] T. Lay. Deep Earth Structure – Lower Mantle and D″ , 2015 .
[2] M. D. Hoop,et al. Variational formulation of the earth's elastic-gravitational deformations under low regularity conditions , 2017, 1702.04741.
[3] Andrew P. Valentine,et al. The impact of approximations and arbitrary choices on geophysical images , 2016 .
[4] Ezio Faccioli,et al. 2d and 3D elastic wave propagation by a pseudo-spectral domain decomposition method , 1997 .
[5] John H. Woodhouse,et al. Iteration method to determine the eigenvalues and eigenvectors of a target multiplet including full mode coupling , 2004 .
[6] Felix E. Browder,et al. On the spectral theory of elliptic differential operators. I , 1961 .
[7] D. Komatitsch,et al. The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures , 1998, Bulletin of the Seismological Society of America.
[8] H. Simpson,et al. On the positivity of the second variation in finite elasticity , 1987 .
[9] J. Tromp,et al. Synthetic free-oscillation spectra: an appraisal of various mode-coupling methods , 2015 .
[10] C. Truesdell,et al. The Non-Linear Field Theories Of Mechanics , 1992 .
[11] D. Al‐Attar,et al. Particle relabelling transformations in elastodynamics , 2016 .
[12] John H. Woodhouse,et al. Calculation of normal mode spectra in laterally heterogeneous earth models using an iterative direct solution method , 2012 .
[13] G. Uhlmann,et al. Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media , 1998 .
[14] Jeffrey Park,et al. The subspace projection method for constructing coupled-mode synthetic seismograms , 1990 .
[15] David R. Smith,et al. Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations , 2007, 0706.2452.
[16] Freeman Gilbert,et al. Coupled free oscillations of an aspherical, dissipative, rotating Earth: Galerkin theory , 1986 .
[17] A. Dziewoński,et al. Seismic Surface Waves and Free Oscillations in a Regionalized Earth Model , 1982 .
[18] T. R. Hughes,et al. Mathematical foundations of elasticity , 1982 .
[19] J. Virieux. P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method , 1986 .
[20] W. Noll. The Foundations of Mechanics and Thermodynamics: Selected Papers , 1974 .
[21] F. Dahlen. Elastic Dislocation Theory for a Self‐Gravitating Elastic Configuration with an Initial Static Stress Field , 1972 .
[22] Peter Moczo,et al. Finite-difference technique for SH-waves in 2-D media using irregular grids-application to the seismic response problem , 1989 .
[23] George E. Backus,et al. Moment Tensors and other Phenomenological Descriptions of Seismic Sources—I. Continuous Displacements , 1976 .
[24] D. Komatitsch,et al. Spectral-element simulations of global seismic wave propagation: II. Three-dimensional models, oceans, rotation and self-gravitation , 2002 .
[25] D. L. Anderson,et al. Preliminary reference earth model , 1981 .
[26] Plamen Stefanov,et al. Rigidity for metrics with the same lengths of geodesics , 1998 .
[27] R. Geller,et al. Inversion for laterally heterogeneous upper mantle S-wave velocity structure using iterative waveform inversion , 1993 .
[28] S. Agmon,et al. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I , 1959 .
[29] A. Ibrahimbegovic. Nonlinear Solid Mechanics , 2009 .
[30] R. Abraham,et al. Manifolds, Tensor Analysis, and Applications , 1983 .
[31] Inversion for laterally heterogeneous earth structure using a laterally heterogeneous starting model: preliminary results , 2007 .
[32] 大森 英樹,et al. Infinite dimensional Lie transformations groups , 1974 .
[33] S. Stewart,et al. The structure of terrestrial bodies: Impact heating, corotation limits, and synestias , 2017, 1705.07858.
[34] B. Valette,et al. Influence of liquid core dynamics on rotational modes , 2009 .
[35] F. Dahlen. The Normal Modes of a Rotating, Elliptical Earth , 1968 .
[36] F. Dahlen. Elastic Dislocation Theory for a Self‐Gravitating Elastic Configuration with an Initial Static Stress Field ii. Energy Release , 1973 .
[37] P. Lognonné. Normal modes and seismograms in an anelastic rotating Earth , 1991 .
[38] Darryl D. Holm,et al. Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions , 2009 .
[39] F. A. Dahleo. The Passive Influence of the Oceans upon the Rotation of the Earth , 2009 .
[40] Matti Lassas,et al. On nonuniqueness for Calderón’s inverse problem , 2003 .
[41] Emmanuel Chaljub,et al. Spectral element modelling of three-dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core , 2003, physics/0308102.
[42] G. Ekström,et al. The relationships between large‐scale variations in shear velocity, density, and compressional velocity in the Earth's mantle , 2016 .
[43] Place Jussieu. Matrix methods for generally stratified media , 1976 .
[44] David R. Smith,et al. Controlling Electromagnetic Fields , 2006, Science.
[45] J. Tromp,et al. Theoretical Global Seismology , 1998 .
[46] F. Dahlen. The Normal Modes of a Rotating, Elliptical Earth—II Near-Resonance Multiplet Coupling , 1969 .
[47] J. Woodhouse,et al. On the parametrization of equilibrium stress fields in the Earth , 2010 .
[48] J. Tromp,et al. Summation of the Born series for the normal modes of the Earth , 1990 .
[49] F. A. Dahlen,et al. The Effect of A General Aspherical Perturbation on the Free Oscillations of the Earth , 1978 .
[50] S. Agmon. On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems , 1962 .
[51] Jeroen Tromp,et al. A spectral-infinite-element solution of Poisson's equation: an application to self gravity , 2017, 1706.00855.
[52] D. Boore,et al. Finite Difference Methods for Seismic Wave Propagation in Heterogeneous Materials , 1972 .
[53] J. Tromp,et al. Normal-mode and free-Air gravity constraints on lateral variations in velocity and density of Earth's mantle , 1999, Science.
[54] Joseph S. Resovsky,et al. Probabilistic Tomography Maps Chemical Heterogeneities Throughout the Lower Mantle , 2004, Science.
[55] J. Marsden,et al. Groups of diffeomorphisms and the motion of an incompressible fluid , 1970 .
[56] Gerhard A. Holzapfel,et al. Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .
[57] B. Romanowicz,et al. Modelling of coupled normal modes of the Earth: the spectral method , 1990 .
[58] A. Valentine,et al. Exact free oscillation spectra, splitting functions and the resolvability of Earth's density structure , 2018 .
[59] J. Tromp,et al. Tidal tomography constrains Earth’s deep-mantle buoyancy , 2017, Nature.
[60] John H. Woodhouse,et al. Theoretical free-oscillation spectra: the importance of wide band coupling , 2001 .
[61] James Lowry Thompson,et al. Some existence theorems for the traction boundary value problem of linearized elastostatics , 1969 .
[62] N. Takeuchi. Finite boundary perturbation theory for the elastic equation of motion , 2005 .
[63] F. Gilbert. Excitation of the Normal Modes of the Earth by Earthquake Sources , 1971 .
[64] G. Backus. Converting Vector and Tensor Equations to Scalar Equations in Spherical Coordinates , 1967 .
[65] J. Woodhouse. The coupling and attenuation of nearly resonant multiplets in the Earth's free oscillation spectrum , 1980 .
[66] D. Komatitsch,et al. Introduction to the spectral element method for three-dimensional seismic wave propagation , 1999 .
[67] Anna L. Mazzucato,et al. Partial Uniqueness and Obstruction to Uniqueness in Inverse Problems for Anisotropic Elastic Media , 2006 .
[68] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .
[69] J. Woodhouse. On Rayleigh's Principle , 1976 .
[70] Hideki Omori. Infinite-Dimensional Lie Groups , 1996 .
[71] On Postglacial Sea Level , 2007 .
[72] B. Romanowicz. Multiplet-multiplet coupling due to lateral heterogeneity: asymptotic effects on the amplitude and frequency of the Earth's normal modes , 1987 .
[73] J. Tromp,et al. A normal mode treatment of semi-diurnal body tides on an aspherical, rotating and anelastic Earth , 2015 .
[74] Normal mode multiplet coupling on an aspherical, anelastic earth , 1992 .