Results 51 to 60 of about 804 (84)

Anisotropic nonlinear diffusion with absorption: existence and extinction

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 427-434, 1996., 1994
The authors prove that the nonlinear parabolic partial differential equation with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constitutive functions φij and f which ensure the existence of a time t0 > 0 for which u ...
Alan V. Lair, Mark E. Oxley
wiley   +1 more source

Well-posed problems for the fractional Laplace equation with integral boundary conditions [PDF]

, 2018
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains.
Tokmagambetov, Niyaz, Torebek, Berikbol
core   +2 more sources

A PDAE formulation of parabolic problems with dynamic boundary conditions

, 2018
The weak formulation of parabolic problems with dynamic boundary conditions is rewritten in form of a partial differential-algebraic equation. More precisely, we consider two dynamic equations with a coupling condition on the boundary. This constraint is
Altmann, Robert
core   +1 more source

Stochastic stability and instability of rumor model

Open Mathematics
In this study, we present a stochastic rumor model. The stability of the disease-free equilibrium state and instability of the free equilibrium E0{E}_{0} of stochastic epidemics model are considered with the help of Lyapunov functions.
Zhang Jing, Wang Xinyao, Wang Xiaohuan
doaj   +1 more source

Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War

Advanced Nonlinear Studies, 2019
In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
doaj   +1 more source

Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

Advances in Nonlinear Analysis, 2017
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
doaj   +1 more source

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
doaj   +1 more source

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]

, 2012
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Dimovski, Ivan, Tsankov, Yulian
core  

Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

Advances in Nonlinear Analysis
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
doaj   +1 more source