Parabolic Perturbation of a Nonlinear Hyperbolic Problem Arising in Physiology
نویسندگان
چکیده
منابع مشابه
On a hyperbolic-parabolic system arising in magnetoelasticity
The evolution of a magnetoelastic material is described by a nonlinear hyperbolic-parabolic system. We introduce a simplified but nontrivial model and prove the existence of a unique solution to the corresponding initial boundary value problem. On a hyperbolic-parabolic system arising in magnetoelasticity M. Chipot∗ I. Shafrir† V. Valente ‡ G. Vergara Caffarelli§ November 6, 2007 keywords: Magn...
متن کاملNumerical Analysis and Scientific Computing Preprint Seria A nonlinear moving-boundary problem of parabolic-hyperbolic-hyperbolic type arising in fluid-multi-layered structure interaction problems
Motivated by modeling blood flow in human arteries, we study a fluid-structure interaction problem in which the structure is composed of multiple layers, each with possibly different mechanical characteristics and thickness. In the problem presented in this manuscript the structure is composed of two layers: a thin layer modeled by the 1D wave equation, and a thick layer modeled by the 2D equat...
متن کاملA quasilinear parabolic singular perturbation problem
in a pointwise sense and in a viscosity sense. Here uν denotes the derivative of u with respect to the inward unit spatial normal ν to the free boundary ∂{u > 0}, M = ∫ β(s) ds, α(ν,M) := Φ−1 ν (M) andΦν(α) := −A(αν)+αν ·F(αν), where A(p) is such that F(p) = ∇A(p) with A(0) = 0. Some of the results obtained are new even when the operator under consideration is linear. 2000 Mathematics Subject C...
متن کاملPerturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation.
In this paper, a mathematical model of the diffusion of cAMP into olfactory cilia and the resulting electrical activity is presented. The model, which consists of two nonlinear differential equations, is studied using perturbation techniques. The unknowns in the problem are the concentration of cAMP, the membrane potential, and the quantity of most interest in this work: the distribution of CNG...
متن کاملA nonlinear singular perturbation problem
Let F (uε) + ε(uε − w) = 0 (1) where F is a nonlinear operator in a Hilbert space H, w ∈ H is an element, and ε > 0 is a parameter. Assume that F (y) = 0, and F ′(y) is not a boundedly invertible operator. Sufficient conditions are given for the existence of the solution to (1) and for the convergence limε→0 ‖uε−y‖ = 0. An example of applications is considered. In this example F is a nonlinear ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1993
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1010