Results 11 to 20 of about 54 (54)

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
doaj   +1 more source

Multiplicity of Solutions to Elliptic Problems Involving the 1-Laplacian with a Critical Gradient Term

Advanced Nonlinear Studies, 2017
In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene, Dall’Aglio Andrea, Segura de León Sergio   +2 more
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Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness [PDF]

, 2014
In this paper linear stochastic transport and continuity equations with drift in critical Lp spaces are considered. In this situation noise prevents shocks for the transport equation and singularities in the density for the continuity equation, starting ...
Beck, Lisa, Flandoli, Franco, Maurelli, Mario, Gubinelli, Massimilano, Gubinelli, Massimiliano   +4 more
core  

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
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Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

Advanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
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Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)

Demonstratio Mathematica
In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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Convex monotone semigroups on lattices of continuous functions

, 2020
Denk R, Kupper M, Nendel M. Convex monotone semigroups on lattices of continuous functions. Center for Mathematical Economics Working Papers. Vol 716. Bielefeld: Center for Mathematical Economics; 2020.We consider convex monotone semigroups on a Banach ...
Denk, Robert, Kupper, Michael, Nendel, Max   +2 more
core  

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
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Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow

European Journal of Applied Mathematics
The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen–Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models and prove convergence using relative ...
Tim Laux, Kerrek Stinson, Clemens Ullrich   +2 more
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Integral solution to a parabolic equation involving the fractional p-Laplacian operator

The aim of this work is to study the existence and uniqueness of integral solutions for a class of non-local parabolic equations. There are two main results.
EL HATHOUT, Mohamed, FAHIM, Houda, ALAA, Nour Eddine   +2 more
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