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SIAMMA
2016
8 years 8 months ago
Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations
The incompatibility operator arises in the modeling of elastic materials with dislocations and in the intrinsic approach to elasticity, where it is related to the Riemannian curvat...
Samuel Amstutz, Nicolas Van Goethem
SIAMMA
2016
8 years 8 months ago
Convergence of Regularized Nonlocal Interaction Energies
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsiveatt...
Katy Craig, Ihsan Topaloglu
SIAMMA
2016
8 years 8 months ago
Increasing Stability for the Conductivity and Attenuation Coefficients
In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schr¨odinger equations from a complete set of (Cauchy...
Victor Isakov, Ru-Yu Lai, Jenn-Nan Wang
SIAMMA
2016
8 years 8 months ago
The Generalized Diffusion Phenomenon and Applications
We study the asymptotic behavior of solutions to dissipative wave equations involving two non-commuting self-adjoint operators in a Hilbert he main result is that the abstract di...
Petronela Radu, Grozdena Todorova, Borislav Yordan...
SIAMMA
2016
8 years 8 months ago
Spectrum Structure and Behaviors of the Vlasov-Maxwell-Boltzmann Systems
The spectrum structures and behaviors of the Vlasov-Maxwell-Boltzmann (VMB) systems for both two species and one species are studied in this paper. The analysis shows the effect ...
Hai-Liang Li, Tong Yang, Mingying Zhong
SIAMMA
2016
8 years 8 months ago
Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film Flow
A technical obstruction preventing the conclusion of nonlinear stability of large-Froude number roll waves of the St. Venant equations for inclined thin film flow is the ”slope...
L. Miguel Rodrigues, Kevin Zumbrun
SIAMMA
2016
8 years 8 months ago
Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation
In the spectral stability analysis of localized patterns to singular perturbed evolution problems, one often encounters that the Evans function respects the scale separation. In s...
Björn de Rijk, Arjen Doelman, Jens D. M. Rade...
SIAMMA
2016
8 years 8 months ago
Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations
We consider three problems for the Helmholtz equation in interior and exterior domains in Rd , (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumannto-Dirichlet problems for ou...
Dean Baskin, Euan A. Spence, Jared Wunsch
SIAMMA
2016
8 years 8 months ago
A New Phase Space Density for Quantum Expectations
We introduce a new density for the representation of quantum states on phase space. It is constructed as a weighted difference of two smooth probability densities using the Husimi...
Johannes Keller, Caroline Lasser, Tomoki Ohsawa