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Accurate computation of ionic concentrations in the synaptic cleft requires the full Poisson-Nernst-Planck (PNP) equations. [PDF]
Jæger KH, Tveito A.
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Coupled mixed-dimensional multiphase porous media approach for modeling airflow, blood flow, and gas exchange in the human lungs. [PDF]
Köglmeier LJ +4 more
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Wavelength Selection for Periodic Travelling Waves: An Unsolved Problem. [PDF]
Eigentler L, Sensi M.
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A Neumann boundary value problem for the Sturm–Liouville equation
Applied Mathematics and Computation, 2009The authors deal with the Neumann boundary value problem \[ -(pu')'+ru'+qu=\lambda g(u), \;\; u'(0)=u'(1)=0,\tag{1} \] where \(p\) is a \(C^1 \) positive function in \([0,1]\), \(r\) and \(q\) are continuous in \([0,1]\), \(r\) is positive; \(\lambda \) is a positive parameter. The solutions to (1) are the critical points of a functional of the form \(\
Gabriele Bonanno, Giuseppina D'Aguì
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Neumann Boundary Value Problems with not Coercive Potential
Mediterranean Journal of Mathematics, 2011The paper deals with the existence of solutions to a Neumann boundary value problem of the form \[ -u''+u=\lambda f(x,u), \quad u'(0)=u'(1)=0. \] By applying a variational technique (which does not include limiting values of the response function), the authors provide sufficient conditions for the problem to have positive solutions in a pre-specified ...
BONANNO, Gabriele, PIZZIMENTI, PASQUALE
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Generalized BSDEs and nonlinear Neumann boundary value problems
Probability Theory and Related Fields, 1998The authors provide probabilistic formulas for viscosity solutions of systems of semilinear partial differential equations (of parabolic or elliptic type), with nonlinear Neumann boundary condition [for similar programmes, see also \textit{S. Peng}, Stochastics Stochastics Rep. 37, No. 1/2, 61-74 (1991; Zbl 0739.60060), \textit{E.
Pardoux, Etienne, Zhang, Shuguang
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Neumann Boundary Value Problem for the Landau-Lifshitz Equation
Journal of Partial Differential Equations, 2005The Landau-Lifschitz equation describes the evolution of spin fields in continuum ferromagnets. The authors study this equation, obtained after neglecting some terms, with homogeneous Neumann boundary conditions. The existence and the uniqueness of the local solution are obtained and some a priori estimates are given.
Guo, Boling +3 more
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One theorem for the Neumann boundary value problem
Differential Equations, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unusual bifurcation of a Neumann boundary value problem
Journal of Differential Equations, 2020The reduction of the order in a pseudodifferential equation describing the unidirectional propagation of nonlinear dispersive waves leads to a problem concerning the behaviour in the boundary layer of a family of nonlinear differential equations of the second order with the Neumann boundary condition.
E.L. Montagu, John Norbury
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