Results 81 to 90 of about 172 (136)

On the Dirichlet Problem for the Ekman Equation [PDF]

open access: yes, 2007
. 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
core  

Diffusive logistic equations with harvesting and heterogeneity under strong growth rate

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the ...
Shabani Rokn-e-vafa Saeed   +1 more
doaj   +1 more source

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

open access: yesOpen Mathematics, 2017
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
doaj   +1 more source

Nonstationary Flows with Viscous Heating Effects [PDF]

open access: yes, 1997
. 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

open access: yesAdvances 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   +2 more
doaj   +1 more source

The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms

open access: yesAdvances in Nonlinear Analysis, 2014
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
doaj   +1 more source

Second Order Necessary Optimality Conditions For Some State-Constrained Control Problems Of Semilinear Elliptic Equations [PDF]

open access: yes, 1996
. 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
core  

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