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-......
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......
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......
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......
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......
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......
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......
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 ......
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 ......
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 ......
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......
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......
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......
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......