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MMAS
2010
Springer
15 years 2 months ago
Roughness-Induced Effect at Main Order on the Reynolds Approximation
Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order ) are related to the Reynolds equation for the pressure psmooth. In this paper, we...
Didier Bresch, Catherine Choquet, Laurent Chupin, ...
MMAS
2010
Springer
15 years 2 months ago
Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
Carsten Hartmann, Valentina-Mira Vulcanov, Christo...
MMAS
2010
Springer
15 years 2 months ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
MMAS
2010
Springer
15 years 2 months ago
On the Stochastic Modeling of Rigid Body Systems with Application to Polymer Dynamics
The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary cou...
J. Walter, O. Gonzalez, J. H. Maddocks
MMAS
2010
Springer
15 years 2 months ago
Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite...
Svetlana Dubinkina, Jason Frank, Ben Leimkuhler
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