Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Jeremy L. Marzuola"'
Autor:
Luc Hillairet, Jeremy L. Marzuola
Publikováno v:
Asymptotic Analysis. 133:267-289
The aim of this paper is to provide uniform estimates for the eigenvalue spacing of one-dimensional semiclassical Schrödinger operators with singular potentials on the half-line. We introduce a new development of semiclassical measures related to fa
Publikováno v:
Numerische Mathematik. 152:631-662
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulation on fine spatial grids, we develop a new numerical method based on t
Autor:
Blake Keeler, Jeremy L. Marzuola
Publikováno v:
Journal of Differential Equations. 320:419-468
Publikováno v:
Pure and Applied Analysis. 3:595-612
We analytically and numerically study a fourth order PDE modeling rough crystal surface diffusion on the macroscopic level. We discuss existence of solutions globally in time and long time dynamics for the PDE model. The PDE, originally derived by th
Publikováno v:
Journal of Nonlinear Science. 32
Publikováno v:
Journal of Evolution Equations. 21:3313-3329
We establish the existence and regularity properties of a monodromy operator for the linearization of the cubic–quintic complex Ginzburg–Landau equation about a periodically stationary (breather) solution. We derive a formula for the essential sp
Publikováno v:
Annales mathématiques du Québec. 45:249-269
We examine the spectrum of a family of Sturm–Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the eigenvalues under this spectral flow was described by Berkolaiko et a
Autor:
David M. Ambrose, Roberto Camassa, Jeremy L. Marzuola, Richard M. McLaughlin, Quentin Robinson, Jon Wilkening
We present two accurate and efficient algorithms for solving the incompressible, irrotational Euler equations with a free surface in two dimensions with background flow over a periodic, multiply-connected fluid domain that includes stationary obstacl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::debfa6aacb7e06ac66f6c97da6e343b3
http://arxiv.org/abs/2108.01786
http://arxiv.org/abs/2108.01786
Publikováno v:
Multiscale Modeling & Simulation. 18:1371-1373
We correct the statement and proof of Corollary 4.2 in Keller et al. [Multiscale Model. Simul., 16 (2018), pp. 1684--1731] corresponding to the case of admissible potentials, which are also reflect...
Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries
Publikováno v:
Journal of Evolution Equations. 20:1227-1249
Motivated by models for thin films coating cylinders in two physical cases proposed in Kerchman (J Fluid Mech 290:131–166, 1994) and Kerchman and Frenkel (Theor Comput Fluid Dyn 6:235–254, 1994), we analyze the dynamics of corresponding thin-film