| In-Preparation and Submitted Publications |
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| 1 | The catenoid spring and the Calculus of Moving Surfaces P. Grinfeld, In preparation. |
| 2 | Flutter in the soap film model of the lung P. Grinfeld, Submitted to J. Mech. Beh. Bio. Mat. |
| 3 | Viscous equations of fluid film dynamics P. Grinfeld, Submitted to Computers, Materials & Continua |
| 4 | Upon the horse of good mathematics P. Grinfeld, Submitted to Math. Mag. |
| 5 | Laplace eigenvalues on regular polygons: a series in 1/N P. Grinfeld and G. Strang, Submitted to Transactions AMS |
| 6 | The Calculus of Moving Surfaces: a symbolic technique for solving boundary variation problems P. Grinfeld, In preparation. |
| 7 | Boundary variation of Poisson's equation: a model problem for symbolic calculus of moving surfaces P. Grinfeld, J. Johnson, M. Boady, In preparation. |
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| Accepted Publications |
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| 1 | Clausius-Clapeyron relations for the evaporating solid conductor P. Grinfeld, Z. Angew. Math. Mech. 90, 2010 | pdf |
| 2 | A variable thickness model for fluid films under large displacements P. Grinfeld, Phys. Rev. Lett. 105, 2010 | pdf |
| 3 | In-plane oscillations of a ring driven by a soap film catenoid P. Grinfeld, J. Geom. Sym. Phys. 20, 2010 |
| 4 | A proposed experiment for the verification of Thomson's nucleation theory P. Grinfeld, Ferroelectrics 2010 | pdf |
| 5 | Hamiltonian dynamic equations for fluid films P. Grinfeld, Stud. Appl. Math. 125, 2010 | pdf |
| 6 | The Calculus of Moving Surfaces and Laplace eigenvalues on an ellipse with low eccentricity A. Fiore and P. Grinfeld, Numer. Funct. Anal. Optim. 31, 2010 | pdf |
| 7 | Morphological instability of the dielectric Thomson nuclei P. Grinfeld, Phys. Rev. B. 81, 2010 | pdf |
| 8 | Hadamard's formula inside and out P. Grinfeld, J. Optim. Theory Appl. 145, 2010 | pdf |
| 9 | The effect of phase transformations at the inner core boundary on the Slichter modes P. Grinfeld and J. Wisdom, Phys. Earth Planet. In. 178, 2010 | pdf |
| 10 | Generalization of Hadamard's Laplace eigenvalue formula to deforming manifolds P. Grinfeld, J. Geom. Sym. Phys. 15, 2009 | pdf |
| 11 | Shape optimization and blectron bubbles P. Grinfeld, Numer. Funct. Anal. Optim. 30, 2009 | pdf |
| 12 | The sustainability of endowment spending levels G. Ho, H. Mozes and P. Greenfield, J. Portfolio Management 2009 | pdf |
| 13 | Exact nonlinear equations for fluid films and proper adaptations of conservation theorems from classical hydrodynamics P. Grinfeld, J. Geom. Sym. Phys. 16, 2009 | pdf |
| 14 | Applications of the Gunther problem in multiscale systems P. Grinfeld, Int. J for Multiscale Comp. Eng. 5, 2007 | pdf |
| 15 | Total gravitational energy for a slightly ellipsoidal trilayer planet P. Grinfeld and J. Wisdom, Quart. Appl. Math. 64, 2006 | pdf |
| 16 | Thermodynamic aspects of equilibrium shape and growth of crystalline films with electromechanical interaction P. Grinfeld and M. Grinfeld, Ferroelectrics 341, 2006 | pdf |
| 17 | Stress driven rearrangement instability of crystalline films with electromechanical interaction P. Chung, J. Clayton, M. M. Cole, M. Grinfeld, P. Grinfeld, W. Nothwang, Mater. Res. Soc. Symp. Proc. 924, 2006 | pdf |
| 18 | A way to compute the gravitational potential for near-spherical geometries P. Grinfeld and J. Wisdom, Quart. Appl. Math. 64, 2006 | pdf |
| 19 | Motion of the mantle in the translational modes of the Earth and Mercury P. Grinfeld and J. Wisdom, Phys. Earth Planet. Int. 151, 2005 | pdf |
| 20 | Laplace eigenvalues on polygons P. Grinfeld and G. Strang, Comput. Math. Appl. 48, 2004 | pdf |
| 21 | The stress driven rearrangement instabilities in electronic materials and in helium crystals M. Grinfeld, P. Grinfeld, H. Kojima, J. Little, R. Masutomi, P-O. Persson and T. Zheleva, Proc. of the 2004 MRS Fall Meeting 2004 | pdf |
| 22 | Instability of the 2S electron bubbles P. Grinfeld and H. Kojima, Phys. Rev. Lett. 91, 2003 | pdf |
| 23 | Morphological instability of liquid metallic nuclei condensing on charged inhomogeneities P. Grinfeld, Phys. Rev. Lett. 87, 2001 | pdf |
| 24 | Towards thermodynamics of elastic electric conductors P. Grinfeld and P. Grinfeld, Phil. Mag. A 81, 2001 | pdf |
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