A cantilever equation with nonlinear boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.
Gennaro Infante, P. Pietramala
doaj +1 more source
Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
Journal of Mathematical Analysis and Applications, 1997 The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty ...
Goldstein, Gisèle Ruiz +1 more
openaire +2 more sources
Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities
Journal of Differential Equations, 1999 The authors study the nonlinear parabolic problem \[ \begin{gathered} \frac {\partial u}{\partial t} =\Delta u + f(u) \text{ in } \Omega\times(0,T), \\ \frac {\partial u}{\partial \nu} = g(u) \text{ on } \partial\Omega\times(0,T), \\ u(\cdot,0) = u_0 \text{ in } \Omega, \end{gathered} \] where \(\Omega \subset \mathbb R^N\) has unit outer normal \(\nu\)
Arrieta, José M +2 more
openaire +1 more source
On parametrized problems with non-linear boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We consider a parametrized boundary-value problem containing an unknown parameter both in the non-linear ordinary differential equations and in the non-linear boundary conditions. By using a suitable change of variables, we reduce the original problem to
Miklós Rontó, Nataliya Shchobak
doaj +1 more source
Implementation of boundary conditions for optimized high-order compact schemes [PDF]
, 1997 The optimized high-order compact (OHOC) finite difference schemes, proposed as central schemes are used for aeroacoustic computations on interior nodes.
Kim, J.W., Lee, D.J.
core +1 more source
New results and applications on the existence results for nonlinear coupled systems
Advances in Difference Equations, 2021 In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized nonlinear coupled boundary conditions satisfying the monotone assumptions.
Imran Talib +4 more
doaj +1 more source
Nonlinear Schr\"odinger equation on the half-line with nonlinear boundary condition
Electronic Journal of Differential Equations, 2015 WOS ...
Batal, Ahmet, Özsarı, Türker
openaire +6 more sources
Nonlinear control of unsteady finite-amplitude perturbations in the Blasius boundary-layer flow [PDF]
, 2013 The present work provides an optimal control strategy, based on the nonlinear Navier–Stokes equations, aimed at hampering the rapid growth of unsteady finite-amplitude perturbations in a Blasius boundary-layer flow.
DE PALMA, Pietro +2 more
core +1 more source
Research of the three-point boundary value problems for nonlinear second-order difference equation
Journal of Hebei University of Science and Technology, 2021 In order to extend the basic theory of nonlinear discrete boundary value problems,this paper studied the sufficient conditions for the existence of positive solutions for a class of nonlinear second-order difference equations with three-point boundary ...
Wenying WEI, Yude JI, Yanping GUO
doaj +1 more source
The minimal seed of turbulent transition in the boundary layer [PDF]
, 2011 This paper describes a scenario of transition from laminar to turbulent flow in a spatially developing boundary layer over a flat plate. The base flow is the Blasius non-parallel flow solution; it is perturbed by optimal disturbances yielding the largest
DE PALMA, Pietro +8 more
core +1 more source