Global Existence, Extinction, and Non-Extinction of Solutions to a Fast Diffusion p-Laplace Evolution Equation with Singular Potential
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-019-09462-5
Abstract: In this paper, we study a class of fast diffusion p-Laplace equation with singular potential in a bounded smooth domain with homogeneous Dirichlet boundary condition. By using energy estimates, Hardy-Littlewood-Sobolev inequality, and some ordinary differential… read more here.
Keywords: diffusion laplace; fast diffusion; extinction; equation ... See more keywords
Global well-posedness of a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential in 2D
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.06.022
Abstract: Abstract We study a diffuse interface model that describes the dynamics of incompressible two-phase flows with chemotaxis effects. This model also takes into account some significant mechanisms such as active transport and nonlocal interactions of… read more here.
Keywords: system; cahn hilliard; global well; navier stokes ... See more keywords
Classical Equiconvergence Problem for the Sturm-Liouville Operator with a Singular Potential
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DOI: 10.1134/s0012266119040062
Abstract: We study the classical problem of equiconvergence of spectral expansions for the Sturm-Liouville operator with a singular potential. We present various conditions on the potential guaranteeing the equiconvergence for the expansions of an arbitrary integrable… read more here.
Keywords: equiconvergence; problem; sturm liouville; operator singular ... See more keywords
The Cahn–Hilliard–Oono equation with singular potential
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202517500506
Abstract: We consider the so-called Cahn–Hilliard–Oono equation with singular (e.g. logarithmic) potential in a bounded domain of ℝd, d ≤ 3. The equation is subject to an initial condition and Neumann homogeneous boundary conditions for the… read more here.
Keywords: oono equation; cahn hilliard; hilliard oono; equation ... See more keywords
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020042
Abstract: This paper concerns with a semilinear heat equation with singular potential and logarithmic nonlinearity. By using the logarithmic Sobolev inequality and a family of potential wells, the existence of global solutions and infinite time blow-up… read more here.
Keywords: semilinear heat; heat equation; equation singular; singular potential ... See more keywords