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Convergence rates in almost-periodic homogenization of higher-order elliptic systems

期刊: ASYMPTOTIC ANALYSIS, 2021; 123 (1-2)

This paper concentrates on the quantitative homogenization of higher-order elliptic systems with almost-periodic coefficients in bounded Lipschitz dom......

Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation

期刊: ASYMPTOTIC ANALYSIS, 2021; 122 (3-4)

This paper investigates the initial boundary value problem for a class of fourth order nonlinear damped wave equations modeling longitudinal motion of......

Separation property and convergence to equilibrium for the equation and dynamic boundary condition of Cahn-Hilliard type with singular potential

期刊: ASYMPTOTIC ANALYSIS, 2021; 124 (3-4)

We consider a class of Cahn-Hilliard equation that models phase separation process of binary mixtures involving nontrivial boundary interactions in a ......

On the Cauchy problem of a sixth-order Cahn-Hilliard equation arising in oil-water-surfactant mixtures

期刊: ASYMPTOTIC ANALYSIS, 2021; 122 (3-4)

We study the well-posedness and asymptotic behavior of solutions to the Cauchy problem of a three-dimensional sixth-order Cahn-Hilliard equation arisi......

On the fast convergence of random perturbations of the gradient flow

期刊: ASYMPTOTIC ANALYSIS, 2021; 122 (3-4)

We consider in this work small random perturbations (of multiplicative noise type) of the gradient flow. We prove that under mild conditions, when the......

Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law

期刊: ASYMPTOTIC ANALYSIS, 2021; 123 (1-2)

In this paper, we consider the Cauchy problem related to the standard linear solid model with Gurtin-Pipkin thermal law in the whole space. Under some......

Asymptotically vanishing nodal solutions for critical double phase problems

期刊: ASYMPTOTIC ANALYSIS, 2021; 124 (3-4)

We consider a Dirichlet double phase problem with unbalanced growth. In the reaction we have the combined effects of a critical term and of a locally ......

Uniform attractors for the non-autonomous reaction-diffusion equations with delays

期刊: ASYMPTOTIC ANALYSIS, 2021; 123 (3-4)

In this paper, we consider a non-autonomous reaction-diffusion equation with hereditary effects and the nonlinearity f satisfying the polynomial growt......

Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case

期刊: ASYMPTOTIC ANALYSIS, 2021; 124 (1-2)

It is proved that partially dissipative hyperbolic systems converge globally-in-time to parabolic systems in a slow time scaling, when initial data ar......

Low and high energy solutions of oscillatory non-autonomous Schrodinger equations with magnetic field

期刊: ASYMPTOTIC ANALYSIS, 2021; 123 (3-4)

We are concerned with the mathematical and asymptotic analysis of solutions to the following nonlinear problem {-Delta(A)u = lambda beta(x)vertical ba......

Ground state solutions of Schrodinger-Poisson systems with asymptotically constant potential

期刊: ASYMPTOTIC ANALYSIS, 2021; 124 (1-2)

This paper is focused on the following Schrodinger-Poisson system {-Delta u + V(x)u + phi u = f(u), x is an element of R-3, -Delta phi = u(2), x is an......

Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas

期刊: ASYMPTOTIC ANALYSIS, 2021; 122 (1-2)

By introducing an isentropic Euler system with a new version of extended Chaplygin gas equation of state, we study two kinds of occurrence mechanism o......

Degenerate Kirchhoff-type fractional diffusion problem with logarithmic nonlinearity

期刊: ASYMPTOTIC ANALYSIS, 2020; 118 (4)

In this paper, we consider the following Kirchhoff-type diffusion problem involving the fractional Laplacian and logarithmic nonlinearity at high init......

On the degenerate Cahn-Hilliard equation: Global existence and entropy estimates of weak solutions

期刊: ASYMPTOTIC ANALYSIS, 2020; 119 (1-2)

In this paper, we consider a class of the degenerate Cahn-Hilliard equation with a smooth double-well potential. By applying a semi-discretization tec......

Asymptotic analysis for elliptic equations with small perturbations on domains in high-contrast medium

期刊: ASYMPTOTIC ANALYSIS, 2020; 119 (3-4)

We provide a comprehensive study on the asymptotic solutions of an interface problem corresponding to an elliptic partial differential equation with D......

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