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Asymptotic stability of fractional resolvent families

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2021; 21 (2)

In this paper, we investigate the asymptotic stability of fractional resolvent families on Banach spaces and ordered Banach spaces. We show that an a-......

Large time behavior of solutions to a Stokes-Magneto equations in three dimensions

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2021; 21 (2)

This paper is devoted to the large time decay of solutions of a three-dimensional Stokes-Magneto equations. It is shown that, when initial data belong......

The kinetic Fokker-Planck equation with general force

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2021; 21 (2)

We consider the kinetic Fokker-Planck equation with a class of general force. We prove the existence and uniqueness of a positive normalized equilibri......

Global existence of solutions of the time fractional Cahn-Hilliard equation in R-3

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2021; 21 (2)

Cauchy problem for the Caputo-type time fractional Cahn-Hilliard equation in R-3 is examined. The local existence and uniqueness of mild solutions and......

Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions

期刊: JOURNAL OF EVOLUTION EQUATIONS, ; ()

In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by a tempered fractional Browni......

A note on the Cauchy problem for the two-component Novikov system

期刊: JOURNAL OF EVOLUTION EQUATIONS, ; ()

Considered herein is the initial value problem for the two-component Novikov system with peakons. Based on the local well-posedness results for this p......

Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature

期刊: JOURNAL OF EVOLUTION EQUATIONS, ; ()

In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost......

Image-dependent conditional McKean-Vlasov SDEs for measure-valued diffusion processes

期刊: JOURNAL OF EVOLUTION EQUATIONS, ; ()

We consider a special class of mean field SDEs with common noise which depends on the image of the solution (i.e., the conditional distribution given ......

Regularity properties of some perturbations of non-densely defined operators with applications

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (2)

This paper is to study some conditions on semigroups, generated by some class of non-densely defined operators in the closure of its domain, in order ......

Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (2)

In this paper, we study a generalized Camassa-Holm (gCH) model with both dissipation and dispersion, which has (N+1-order nonlinearities and includes ......

Dispersive effect of the Coriolis force and the local well-posedness for the fractional Navier-Stokes-Coriolis system

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (2)

This paper discusses the Cauchy problem for the fractional Navier-Stokes-Coriolis equation (FNSC). The FNSC equation refers to that obtained by replac......

Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (4)

In this paper, we prove that the 2D viscous shallow water equations are ill-posed in the critical Besov spaces (B)over dot(p,1)(2/p-1) (R-2) with p &g......

Schauder-type estimates for higher-order parabolic SPDEs

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (4)

In this paper, we consider the Cauchy problem for 2m-order stochastic partial differential equations of parabolic type in a class of stochastic Holder......

A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces

期刊: JOURNAL OF EVOLUTION EQUATIONS, 2020; 20 (4)

In this paper, we consider the Cauchy problem for the compressible Navier-Stokes-Korteweg system in critical Besov spaces. The global solutions are es......

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