On the Dirichlet Problem for the Ekman Equation [PDF]
. The Ekman partial differential equation for the streamfunction of turbulent mass flow in shallow and small sized surface waters is discussed. The Dirichlet problem for the Ekman equation is shown to be well posed in a weighted Sobolev space. Conditions
K. Frischmuth, J. Rossmann
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Diffusive logistic equations with harvesting and heterogeneity under strong growth rate
We consider the ...
Shabani Rokn-e-vafa Saeed +1 more
doaj +1 more source
Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Izadi M, Singh J, Noeiaghdam S.
europepmc +1 more source
Nonstationary Flows with Viscous Heating Effects [PDF]
. The system of equations describing a nonstationary flow of a quasi-newtonian fluid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e.
Andro Mikelic, Thierry Clopeau
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data
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 +2 more
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In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
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Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]
David G, Feneuil J, Mayboroda S.
europepmc +1 more source
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Second Order Necessary Optimality Conditions For Some State-Constrained Control Problems Of Semilinear Elliptic Equations [PDF]
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic equations. The case of a boundary control is studied.
Eduardo Casas, Fredi Tröltzsch
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