Results 51 to 60 of about 2,229 (130)

Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients [PDF]

open access: yes, 2011
2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients.
Marras, M.
core  

Attractors of multivalued semiflows generated by differential inclusions and their approximations

open access: yesAbstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000
We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
wiley   +1 more source

The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1

open access: yesAdvances in Nonlinear Analysis, 2019
In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj   +1 more source

On the extinction problem for a p-Laplacian equation with a nonlinear gradient source

open access: yesOpen Mathematics, 2021
We deal with the extinction properties of the weak solutions for a p-Laplacian equation with a gradient nonlinearity. The critical extinction exponent is specified and the decay estimates of the extinction solutions are given.
Liu Dengming, Yu Miaojun
doaj   +1 more source

Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

open access: yes, 2006
We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium.
A. Bensoussan   +13 more
core   +1 more source

Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent

open access: yesAdvances in Nonlinear Analysis, 2014
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity.
Ouaro Stanislas   +2 more
doaj   +1 more source

Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

open access: yes, 2002
This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T^{2n} is convex, then the flow exists for all ...
Smoczyk, Knut, Wang, Mu-Tao
core   +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 access: yesOpen 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

Front instability in a condensed phase combustion model

open access: yesAdvances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis   +2 more
doaj   +1 more source

A new contraction family for porous medium and fast diffusion equation [PDF]

open access: yes, 2014
In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada   +2 more
core   +3 more sources

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