Results 251 to 260 of about 579,120 (288)

Nonlinear Artificial Boundary Conditions

2013
In this chapter, we discuss the nonlinear ABCs for Burgers equation, Kardar-Parisi-Zhang equation, and Schrodinger equation on unbounded domains. By using artificial boundaries, the original problems are reduced to initial boundary value problems on bounded computational domains.
Houde Han, Xiaonan Wu
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
Irene Benedetti, TADDEI, Valentina, Martin Vath   +2 more
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Absorbing boundary conditions for nonlinear Schrödinger equations

Physical Review E, 2006
A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber ...
Zhenli, Xu, Houde, Han
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Impulsive boundary value problems with nonlinear boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2008
The authors present sufficient conditions for the existence of a solution to a second order boundary value problem with impulses. The problem has nonlinear boundary conditions. The authors assume the existence of lower and upper solutions associated with the problem considered and that the nonlinearity of the differential equation satisfies a Nagumo ...
Shen, Jianhua, Wang, Weibing
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A nonlinear thermoelastic system with nonlinear boundary conditions

Journal of Evolution Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, H. R., Clark, M. R., Louredo, A. T., Oliveira, A. M.   +3 more
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Nonlinear Boundary Conditions

2014
In this chapter we will study reaction-diffusion equations with nonlinear boundary conditions. Problems of this type can arise in various chemical and biological applications. We will begin with one-dimensional problems in bounded intervals. After that we will study travelling waves in two-dimensional strips.
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Nonlinear Elliptic Equations with Nonlinear Boundary Conditions

1976
Publisher Summary This chapter focuses on nonlinear elliptic equations with nonlinear boundary conditions, and discusses mildly nonlinear elliptic boundary value problems (BVPs). For the study of the stability of the solutions of the parabolic initial-boundary value problem, one has to have a good knowledge of the steady states, that is, of the ...
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Ordinary Differential Equations with Nonlinear Boundary Conditions

gmj, 2002
Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.
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SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS

International Journal of Bifurcation and Chaos, 2002
In this paper we survey some recent results on the behavior of solutions of parabolic equations subjected to nonlinear boundary conditions. The results range from local existence and regularity of solutions, to global existence, dissipativeness and existence of attractors, and to blow-up in finite time.
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Improvement of nonlinear impedance boundary conditions

IEEE Transactions on Magnetics, 2002
Recently, the impedance boundary conditions (IBCs) for thin conductive and highly permeable shieldings have been extended to nonlinear material characteristics, which are modeled by the effective permeability. In this paper, the coupling of these nonlinear IBCs with the finite-element method (FEM) outside the shielding material is improved.
A. Kost, J.P.A. Bastos, K. Miethner, L. Janicke   +3 more
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