[PDF] Top 20 Global Well Posedness for Certain Density Dependent Modified Leray Models

... the well-known Leray-α model and has been studied in 1, 2 ...classical density-dependent Navier-Stokes equation, which has received many studies 3–6 ...the density-dependent ... See full document

... Before going further, let us first make a short review on the study of the well-posedness topic of this problem. By taking full advantage of the absence of resonances between the fast rotation and the ... See full document

... Zhou Advances in Difference Equations 2013, 2013 175 http //www advancesindifferenceequations com/content/2013/1/175 R ES EA RCH Open Access Global well posedness of a class of stochastic equations wi[.] ... See full document

... the global existence of the unique classical solution was proved in ...same well-posedness theory as in [] to the full Ericksen-Leslie system with Ginzburg-Landau approximation ...the density ... See full document

... The actual construction of solutions of (1.1) is performed in the remaining sections. In Section 5, we recall some probabilistic preliminaries, and give a construction of solutions of the stochastic heat equation (1.5) ... See full document

... Global well-posedness of 2D generalized MHD equations with fractional diffusion Zhiqiang Wei1* and Weiyi Zhu2 * Correspondence: [email protected] 1 School of Mathematics and Informa[r] ... See full document

... the well-posedness and related problem on Boussinesq equations with fractional dissipation which have recently attracted considerable ...of global well-posedness of strong solutions and ... See full document

... In this paper, we study the initial-boundary value problem for one-dimensional compressible magnetohydrodynamics (MHD) flows. Using the local estimates of strong solutions to three-dimensional compressible MHD (obtained ... See full document

... The Trojan Y Chromosome strategy TYC is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the sex ratio ... See full document

... Jin, L, Fan, J, Nakamura, G, Zhou, Y: Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition. Zhou, D: Global regularity for the two-dimensional Bo[r] ... See full document

... the global existence and blow up for the problem by potential well theory is still not considered for μ = ...potential well theory. Re- cently, the concavity method and potential well theory ... See full document

... We have dealt with the problem of positive solution and periodic solution for a Lotka– Volterra predator–prey system with ratio-dependent functional responses and feedback controls. The general sufficient conditions ... See full document

... population density models in this case is defined as the flux passing through this ...a global well-posedness result in the general case of the ... See full document

... local well-posedness and global existence for small-data in certain critical spaces, as well as a number of important partial regularity ...have global ... See full document

... the well-posedness of adap- tive kinetic Equations (5), the local well-posedness and global existence of anticipating and general path depend- ent kinetic equations and finally some ... See full document

... the well-posedness of adap- tive kinetic Equations (5), the local well-posedness and global existence of anticipating and general path depend- ent kinetic equations and finally some ... See full document

... 6. Yin, ZY: On the Cauchy problem for an integrable equation with peakon solutions. Ill. J. Math. 47, 649-666 (2003) 7. Constantin, A: On the scattering problem for the Camassa-Holm equation. Proc. R. Soc. Lond. A 457, ... See full document

...   (1.5) The main results are focused on the relationships among the growth exponent p of the nonlinearity f u ( ) , the global well-posedness and the longtime dynamics of the equ- ations. They show ... See full document

... of global well-posedness for the Burgers equations in several spaces, including L p for p > d in bounded domains and the whole space, and H 1/2 ( T 3 ...prove global ... See full document

... For global well-posedness of solutions to the MHD equations, there are a few results, we refer to [, ...proved global existence of solutions. Wang and Wang proved global existence of ... See full document