Results 51 to 60 of about 206 (158)

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

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

Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley   +1 more source

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

Advances 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, Ouedraogo Arouna, Soma Safimba   +2 more
doaj   +1 more source

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

Open 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

Non-Newtonian polytropic filtration systems with nonlinear boundary conditions

Boundary Value Problems, 2011
This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by ...
Du Wanjuan, Li Zhongping
doaj  

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Demonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Front instability in a condensed phase combustion model

Advances 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, Dkhil Fathi, Logak Elisabeth   +2 more
doaj   +1 more source

Existence and asymptotic stability of periodic solutions for a class of neutral delayed evolution equation

Demonstratio Mathematica
The purpose of this work is to study the existence and asymptotic stability of ω-periodic mild solutions to a class of neutral delayed evolution equation in Banach space X ddt(z(t)−cz(t−δ))+A(z(t)−cz(t−δ))=f(t,z(t),z(t−τ)),t∈R, $$\frac{\text{d}}{\mathrm ...
Yang Shengbin, Li Yongxiang, Wang Dan
doaj   +1 more source

Boundedness and global stability in a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics

Advances in Nonlinear Analysis
This article deals with a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics ut=Δu−χ∇⋅(u∇w)+uλ1−μ1ur1−1+av+a1∫Ωudx+a2∫Ωvdx,x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+vλ2−μ2vr2−1−bu+b1∫Ωudx+b2∫Ωvdx,x∈Ω,t>0,τwt=Δw−w+v,x∈Ω,t>0,τzt ...
Jiao Zhan, Jadlovská Irena, Li Tongxing
doaj   +1 more source

Threshold results of blow-up solutions to Kirchhoff equations with variable sources [PDF]

This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper ...
RAHMOUNE, Abita, TOUIL, Nadji
core   +1 more source