Results 31 to 40 of about 151 (108)

Spatial Decay Estimates for Elastic Plate System With Type II Heat Conduction

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The classical Saint‐Venant principle has been extensively studied for harmonic and biharmonic models but remains largely unexplored for thermomechanical plates governed by hyperbolic (Type II) heat conduction, a conservative thermal model with unique dynamical features. This paper investigates the spatial decay properties of solutions to such a coupled
Jincheng Shi, Yiwu Lin, Pramita Mishra
wiley   +1 more source

On the weak solution of a three‐point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003
This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley   +1 more source

Phragmén–Lindelöf Alternative Results for the Moore–Gibson–Thompson Heat Equation on an Exterior Region in R3

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents investigates the spatial behavior of solutions to the Moore–Gibson–Thompson (MGT) heat conduction equation posed on an exterior domain in ℝ3. Within the framework of Green–Naghdi Type III theory, we analyze the radial asymptotic properties of solutions using a novel weighted energy functional and a first‐order differential ...
Jincheng Shi, Yiwu Lin, Smritijit Sen
wiley   +1 more source

Numerical solution of a malignant invasion model using some finite difference methods

Demonstratio Mathematica, 2023
In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao, Waal Gysbert Nicolaas de   +1 more
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

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