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Global weak solutions to a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential

期刊: NONLINEARITY, 2021; 34 (4)

We analyze a diffuse interface model that describes the dynamics of incompressible two-phase flows with chemotaxis effect. The PDE system couples the ......

Solution landscape of a reduced Landau-de Gennes model on a hexagon

期刊: NONLINEARITY, 2021; 34 (4)

We investigate the solution landscape of a reduced Landau-de Gennes model for nematic liquid crystals (NLCs) on a two-dimensional hexagon at a fixed t......

Mathematical analysis of Poisson-Nernst-Planck models with permanent charges and boundary layers: studies on individual fluxes

期刊: NONLINEARITY, 2021; 34 (6)

This work focuses on a one-dimensional Poisson-Nernst-Planck system including small permanent charges for ionic flows with one cation and one anion th......

Estimating the most probable transition time for stochastic dynamical systems

期刊: NONLINEARITY, 2021; 34 (7)

This work is devoted to the investigation of the most probable transition time between metastable states for stochastic dynamical systems with non-van......

Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain

期刊: NONLINEARITY, 2021; 34 (10)

In this paper, we justify the limit from the Navier-Stokes system in a thin domain to the hydrostatic Navier-Stokes/Prandtl system for the convex init......

Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures

期刊: NONLINEARITY, 2021; 34 (8)

The spectral dimension of a fractal Laplacian encodes important geometric, analytic, and measure-theoretic information. Unlike standard Laplacians on ......

Nonlinear Schrodinger systems with mixed interactions: locally minimal energy vector solutions

期刊: NONLINEARITY, 2021; 34 (9)

This paper is concerned with asymptotic behavior of positive solutions for coupled Schrodinger equations with mixed interactions between components. W......

Global dynamics of a quintic Lienard system with Z(2)-symmetry I: saddle case

期刊: NONLINEARITY, 2021; 34 (6)

In the paper we deal with a quintic Lienard system of the form (x) over dot=y-(a(1)x+a(2)x(3)+a(3)x(5)),(y) over dot=b(1)x+b(2)x(3) Z(2)-symmetry, whe......

Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit

期刊: NONLINEARITY, 2021; 34 (9)

The intimate connection between discrete and continuous integrable systems may yield deep insight into some inherent discreteness of physical phenomen......

Optimal time decay of the compressible Navier-Stokes equations for a reacting mixture

期刊: NONLINEARITY, 2021; 34 (9)

In this paper, we are concerned with the large-time behavior of solutions to the Cauchy problem on the compressible Navier-Stokes equations for ideal ......

Conditional variational principles of conditional entropies for amenable group actions *

期刊: NONLINEARITY, 2021; 34 (8)

Let G be an infinite discrete countable amenable group acting continuously on two compact metrizable spaces X, Y. Assume that phi : (Y, G) -> (X, G......

Pointwise densities of homogeneous Cantor measure and critical values

期刊: NONLINEARITY, 2021; 34 (4)

Let N >= 2 and rho is an element of (0, 1/N-2]. The homogenous Cantor set E is the self-similar set generated by the iterated function system {f(i)......

Global smooth solution of 2D temperature-dependent tropical climate model

期刊: NONLINEARITY, 2021; 34 (8)

This paper focuses on a two-dimensional tropical climate model with temperature-dependent viscosity and thermal diffusivity. We show that there is a u......

Fractal squares with finitely many connected components *

期刊: NONLINEARITY, 2021; 34 (4)

In this paper, we present an effective method to characterize completely when a disconnected fractal square has only finitely many connected component......

Incompressible limit on thin domains with periodic boundary condition

期刊: NONLINEARITY, 2021; 34 (9)

We consider convergence to the incompressible Navier-Stokes equations/Euler equations for compressible viscous flows on periodic thin domain omega del......

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