Compressed Sensing (CS) is a novel sampling paradigm that tries to take data-compression concepts down to the sampling layer of a sensory system. It states that discrete compressible signals are recoverable from sub-sampled data, when the data vector is acquired by a special linear transform of the original discrete signal vector. Distributed sampling problems especially in Wireless Sensor Netw...

For a general class of hyperbolic-parabolic systems including the compressible NavierStokes and compressible MHD equations, we prove existence and stability of noncharacteristic viscous boundary layers for a variety of boundary conditions including classical Navier-Stokes boundary conditions. Our first main result, using the abstract framework established by the authors in the companion work [G...

The non-isotropic image interrogation technique is applied to study the compressible supersonic and hypersonic flow regimes. Supersonic flow experiments are performed in a blow-down windtunnel where the wake turbulence downstream of a wedge-plate model configuration is studied in the transonic M=1.35 regime. The hypersonic experiments are conducted in a short duration facility at Mach 6 and the...

A coupled double-distribution-function lattice Boltzmann method is developed for the compressible Navier-Stokes equations. Different from existing thermal lattice Boltzmann methods, this method can recover the compressible Navier-Stokes equations with a flexible specific-heat ratio and Prandtl number. In the method, a density distribution function based on a multispeed lattice is used to recove...

Certain aspects of the mean-field theory of turbulent passive scalar transport and of mean-field electrodynamics are considered with particular emphasis on aspects of compressible fluids. It is demonstrated that the total mean-field diffusivity for passive scalar transport in a compressible flow may well be smaller than the molecular diffusivity. This is in full analogy to an old finding regard...

For compressible fluids under shock wave reaction, we have proposed two Multiple-RelaxationTime (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL 90 (2010) 54003; Phys. Lett. A 375 (2011) 2129.]. In this paper, we construct a new MRT Lattice Boltzmann model which is not only for the shocked compressible fluids, but also for the unshocked compressible fluids. To make the model work for un...

Osmotic, electrostatic, and/or hydrational swellings are essential mechanisms in the deformation behavior of porous media, such as biological tissues, synthetic hydrogels, and clay-rich rocks. Present theories are restricted to incompressible constituents. This assumption typically fails for bone, in which electrokinetic effects are closely coupled to deformation. An electrochemomechanical form...

This paper presents the development of an Adaptive Algebraic Multiscale Solver for Compressible flow (C-AMS) in heterogeneous porous media. Similar to the recently developed AMS for incompressible (linear) flows [Wang et al., JCP, 2014], C-AMS operates by defining primal and dual-coarse blocks on top of the fine-scale grid. These coarse grids facilitate the construction of a conservative (finit...

We define instance compressibility ([5, 7] ) for parametric problems in PH and PSPACE. We observe that the problem ΣiCIRCUITSAT of deciding satisfiability of a quantified Boolean circuit with i− 1 alternations of quantifiers starting with an existential quantifier is complete for parametric problems in the class Σ i with respect to W -reductions, and that analogously the problem QBCSAT (Quantif...

We prove that the smooth solutions to the Cauchy problem for the three-dimensional compressible barotropic magnetohydrodynamic equations with conserved total mass and finite total energy lose the initial smoothness within a finite time. Further, we show that the same result holds for the solution to the Cauchy problem for the multidimensional compressible NavierStokes system. Moreover, for the ...