Showing papers in "Acta Mathematica Scientia in 2010"

TL;DR: In this paper, the dynamics of the reshocked multi-mode Richtmyer-Meshkov instability were investigated using 513 x 257{sup 2} three-dimensional nine-order weighted essentially nonoscillatory shock-capturing simulations.

TL;DR: In this article, the authors studied the regularity of weak solutions and the blow-up criteria for smooth solutions to the magneto-micropolar fluid equations in ℝ 3.

TL;DR: In this paper, the authors construct approximate solutions for a general stochastic integrodifferential equation which is not explicitly solvable and whose coefficients functionally depend on Lebesgue integrals and Stochastic integrals with respect to martingales.

TL;DR: In this paper, the authors present a survey on the study of compressible Navier-Stokes-Poisson equations, focusing on the long time behavior of global solutions to multi-dimensional compressible NSPP equations.

TL;DR: In this paper, the least square estimation of drift parameters for a class of stochastic differential equations driven by small α-stable noises, observed at n regularly spaced time points t i = i/n, i = 1, …, n on [0, 1], was studied.

TL;DR: In this paper, an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2D periodic domain or the unit square domain was studied.

TL;DR: A front tracking algorithm for the Stefan problem has been developed and the accuracy of the method is measured through comparison with exact solution to a two-dimensional Stefan problem.

TL;DR: In this paper, a global analysis of all possible viscous shock profiles was carried out for the two-dimensional Navier-Stokes equations of isentropic magnetohydrodynamics (MHD).

TL;DR: This work discusses multiphase ows from a multiscale perspective, including both how DNS are providing insight and understanding for modeling of scales much larger than the “dominant scale” (defined where surface tension, viscous forces or inertia are important), as well as how they are often limited by the need to resolve processes taking place on much smaller scales.

TL;DR: In this paper, it was shown that the Schur harmonic convex Schur convex function is symmetric for x ∞R+n and r ∞ N = {1, 2, 3,···}.

TL;DR: In this paper, the geometry of the slant submanifolds of a Riemannian product manifold is studied, and necessary and sufficient conditions on slant, bi-slant and semi-slants are given.

TL;DR: In this paper, the operational properties of algebroid functions are investigated and two uniqueness theorems for algebras are proved. But these results are not applicable to the case of non-algebraic functions.

TL;DR: In this paper, a new definition for lower Ricci curvature bounds on Alexan-drov spaces was introduced by the authors, and they extended their work to summarize the geometric and analytic results under this Ricci condition.

TL;DR: In this article, a three-dimensional numerical simulation of a plunging liquid jet is presented, where the transient processes of forming an air cavity around the jet, capturing an initially large air bubble, and the break-up of this large toroidal-shaped bubble into smaller bubbles are analyzed.

TL;DR: In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused, and several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem are established.

TL;DR: In this paper, the authors describe mathematical models for phase separated mixtures of materials that are in pressure and velocity equilibrium but not necessarily temperature equilibrium, and general conditions for constitutive models for such mixtures that exhibit a single mixture sound speed are discussed.

TL;DR: In this paper, moderate deviations for estimators of the drift parameter of the fractional Ornstein-Uhlenbeck process were studied and two moderate deviation principles were obtained for the drift estimators.

TL;DR: Wang et al. as discussed by the authors proposed the Program for New Centery Excellent Talents in Xiamen University (PEAT) to train the next generation of scientists in China.

TL;DR: In this paper, a new function theory of complex variables with values in a complex Clifford algebra defined on some subdomains of Cn+1, so-called complex holomorphic Cliffordian functions, was developed.

TL;DR: In this article, it was proved that all such Lie super-bialgebras are coboundary triangular Lie Super-Bialgeges if and only if H 1(ℒ, ℒ ⊗ ℓ) = 0.

TL;DR: In this article, the authors obtained some weighted weak-type estimates for the commutators generated by the multilinear Calderon-Zygmund operators and RBMO(μ) functions.

TL;DR: In this paper, the authors show large time behavior of weak solutions to the Cauchy problem of the Navier-Stokes equations with damping α|u|β-1u (α > 0).

TL;DR: In this article, the authors studied the decomposition of functions of Q(p) spaces, which unify Bloch space and BMOA space in the scale of p, by means of p-Carleson measure and Bergman metric on the unit ball of C-n.

TL;DR: In this article, an upgraded version of the Lagrangian front tracking code and its associated algorithms for the numerical study of crystal formation were introduced, and compared with the smoothed particle hydrodynamics method in terms of the crystal fractal dimension with its dependence on the Damkohler number and density ratio.

TL;DR: In this paper, strong solutions of the Navier-Stokes-Poisson equations for isentropic compressible fluids in a domain Ω ⊂ R3 were shown to have unique strong solutions provided that the initial data ϱ0 and u0 satisfy a nature compatibility condition.

TL;DR: In this paper, the authors analyzed the large time behavior of nonnegative solutions of the Cauchy problem of the porous medium equation with absorption, and showed that for any nonnegative function ϕ in a nonnegative countable subset F of the Schwartz space S, there exists an initial value ϕ 0 ∈ C ( ℝ N ) with

TL;DR: In this article, the authors investigated the problem of growth order of solutions of a type of systems of non-linear algebraic differential equations, and extended some results of the growth order for solutions of algebraic linear systems to systems of linear algebraic equations.

TL;DR: For Riemannian manifolds with a measure, this article studied the gradient estimates for positive smooth f -harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci Tensor are bounded from below, generalizing the classical ones of Yau.

TL;DR: In this paper, a Markov-dependent risk model with a constant dividend barrier is considered and a system of integro-differential equations with boundary conditions satisfied by the expected discounted penalty function, with given initial environment state, is derived and solved.

TL;DR: In this article, approximate Riemann solvers for ideal MHD equations based on a relaxation approach were developed, which lead to entropy consistent solutions with good properties like guaranteed positive density.