Results 231 to 240 of about 39,932 (267)

A nonlinear boundary value problem containing nonstandard boundary conditions

Applied Mathematics and Computation, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marián Slodicka, Hennie De Schepper
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +2 more sources

Systems with Nonlinear Boundary Conditions

1992
This chapter gives a treatment for coupled system of equations with nonlinear boundary conditions analogous to that for coupled systems with linear boundary conditions. The system under consideration can be coupled through the boundary conditions or through the differential equations. For systems of two equations coupled through the boundary conditions,
openaire   +1 more source

Equations with Nonlinear Boundary Conditions

1992
Many of the results given in the previous chapters can be extended to problems with nonlinear boundary conditions by the method of upper and lower solutions. This chapter is devoted to an extension of this method to both parabolic and elliptic boundary-value problems where the boundary function h is replaced by a nonlinear function. This extension also
openaire   +1 more source

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 ...
openaire   +1 more source

Effect of nonlinear boundary conditions on nonlinear phenomena in optical resonators

Optics Letters, 1987
The question of proper boundary conditions at the surface of a nonlinear medium is discussed. It is shown that the nonlinearity of the boundary conditions could have a significant effect for large fields. Thus the nonlinear boundary conditions significantly affect the transmission behavior near the upper bistability threshold.
G S, Agarwal, S D, Gupta
openaire   +2 more sources