1,721,575 research outputs found
Replication Data for: Datasets for multistream classification
No full textDatasets for multistream classificatio
Replication Data for: Datasets for multistream classification
No full textDatasets for multistream classificatio
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
No full textCockburn, Bernardo; Dong, Bo. (2006). An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4344
Regularity criteria of weak solutions to the three-dimensional micropolar flows
No full textRegularity criteria of weak solutions to the three-dimensional micropolar fluid motion equations are discussed. Sufficient conditions for the regularity of weak solutions are presented by imposing Serrin's type growth conditions on the velocity field in Lorentz spaces, multiplier spaces, bounded mean oscillation spaces, and Besov spaces, respectively. The findings demonstrate that the velocity field plays a dominant role in the regularity problem of micropolar fluid motion equations
Optimal convergence of the original DG method for the transport-reaction equation on special meshes
No full textCockburn, Bernardo; Dong, Bo; Guzman, Johnny. (2006). Optimal convergence of the original DG method for the transport-reaction equation on special meshes. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4346
Global attractors of two-dimensional micropolar fluid flows in some unbounded domains
No full textThis paper is concerned with the existence and regularity of the global attractors of micropolar fluid flows in two-dimensional unbounded domains, in which the Poincaré inequality holds true. Based on an asymptotic compactness argument, a L2 global attractor is shown to exist if the stationary external vector field is in H?1. Moreover, if the external vector field is in L2, then the L2 global attractor becomes an H1 global attractor
Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation
No full textTime decay rates of non-Newtonian flows in Rn
No full textAbstractThis paper is concerned with time decay rates of the weak solutions of an incompressible non-Newtonian fluid motion model in half spaces R+n for n⩾3. With the use of the spectral decomposition of the Stokes operator and Lp−Lq estimates, it is shown that the weak solutions decay in L2 norm like t−n2(1r−12) when the initial velocity u0∈L2∩Lr for 1⩽r<2. The higher decay rates t−n2(1r−12)−12 are obtained, if u0 satisfies the additional moment condition∫R+n|xnu0(x)|rdx<∞,1<r⩽2. Moreover, the error estimates between the non-Newtonian flow and the Navier–Stokes flow are discussed
A remark on reqularity criterion for the dissipative quasi-geostrophic equations
No full textAbstractThis paper concerns with a regularity criterion of solutions to the 2D dissipative quasi-geostrophic equations. Based on a logarithmic Sobolev inequality in Besov spaces, the absence of singularities of θ in [0,T] is derived for θ a solution on the interval [0,T) satisfying the condition∇⊥θ∈Lr(0,T;B˙p,∞0)for2p+αr=α,4α⩽p⩽∞. This is an extension of earlier regularity results in the Serrin's type space Lr(0,T;Lp)
- …
