Results 31 to 40 of about 712 (65)

On principal eigenvalues for periodic parabolic Steklov problems

Abstract and Applied Analysis, Volume 7, Issue 8, Page 401-421, 2002., 2002
Let Ω be a C2+γ domain in ℝN, N ≥ 2, 0 < γ < 1. Let T > 0 and let L be a uniformly parabolic operator Lu = ∂u/∂t − ∑i,j (∂/∂xi) (aij(∂u/∂xj)) + ∑jbj (∂u/∂xi) + a0u, a0 ≥ 0, whose coefficients, depending on (x, t) ∈ Ω × ℝ, are T periodic in t and satisfy some regularity assumptions.
T. Godoy, E. Lami Dozo, S. Paczka
wiley   +1 more source

Global existence of solutions of semilinear heat equation with nonlinear memory condition

, 2019
We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow up in finite time of all nontrivial solutions ...
Gladkov, Alexander, Guedda, Mohammed
core   +1 more source

On three‐point boundary value problem with a weighted integral condition for a class of singular parabolic equations

Abstract and Applied Analysis, Volume 7, Issue 10, Page 517-530, 2002., 2002
We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
Abdelfatah Bouziani
wiley   +1 more source

Heat transfer in a complex medium

, 2016
The heat equation is considered in the complex medium consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies an impedance boundary condition is imposed.
A. G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, B.M. Levitan, V. Jikov   +14 more
core   +1 more source

Mixed problem with nonlocal boundary conditions for a third‐order partial differential equation of mixed type

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 417-426, 2001., 2001
We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
M. Denche, A. L. Marhoune
wiley   +1 more source

Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting

Advances in Nonlinear Analysis
In this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied.
Li Yanglei, Han Xuemei, Sun Ningkui
doaj   +1 more source

An adaptive mesh method for time dependent singularly perturbed differential-difference equations

Nonlinear Engineering, 2019
In this paper, a time dependent singularly perturbed differential-difference convection-diffusion equation is solved numerically by using an adaptive grid method. Similar boundary value problems arise in computational neuroscience in determination of the
Pramod Chakravarthy P., Kumar Kamalesh
doaj   +1 more source

Cooling of a plate with general boundary conditions

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 477-485, 2000., 2000
We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener‐Hopf method has been used to obtain the solution in the infinite series form and some special cases ...
F. D. Zaman, R. Al-Khairy
wiley   +1 more source

Cooling of a layered plate under mixed conditions

International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 197-206, 2000., 2000
We consider the temperature distribution in an infinite plate composed of two dissimilar materials. We suppose that half of the upper surface (y = h, −∞ < x < 0) satisfies the general boundary condition of the Neumann type, while the other half (y = h, 0 < x < ∞) satisfies the general boundary condition of the Dirichlet type. Such a plate is allowed to
F. D. Zaman, R. Al-Khairy
wiley   +1 more source

Global existence and extinction for a fast diffusion p-Laplace equation with logarithmic nonlinearity and special medium void

Open Mathematics
This article is devoted to the global existence and extinction behavior of the weak solution to a fast diffusion pp-Laplace equation with logarithmic nonlinearity and special medium void.
Liu Dengming, Chen Qi
doaj   +1 more source