Results 31 to 40 of about 117 (113)

On a viscous two-fluid channel flow including evaporation

open access: yesOpen Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source

Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension

open access: yesAdvances in Nonlinear Analysis, 2023
This article studies the stability of a stationary solution to the three-dimensional Navier-Stokes equations in a bounded domain, where surface tension effects are taken into account.
Watanabe Keiichi
doaj   +1 more source

Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth

open access: yesAdvances in Nonlinear Analysis, 2023
We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
doaj   +1 more source

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

open access: yesAdvances in Nonlinear Analysis, 2019
The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier   +3 more
doaj   +1 more source

Mathematical Analysis of a Thermo–Mechanical System With Phase Change and Melt–Layer Dynamics: Stability, Regime Transition, and Bifurcation Perspective

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops a nonlinear thermo–mechanical dynamical model describing the coupled interaction among mechanical motion, heat transfer, viscous dissipation, and melt‐layer evolution during thermally induced phase change. The formulation addresses the limited availability of unified mathematical frameworks capable of simultaneously capturing ...
Nicholas N. Topman, Shikha Binwal
wiley   +1 more source

An Irregular Grid Approach for Pricing High Dimensional American Options [PDF]

open access: yes, 2002
AMS classifications: 35R35; 60G40; 65D15 ...
Berridge, S.J.   +3 more
core  

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

open access: yesAdvances 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

On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets

open access: yesAdvances in Nonlinear Analysis, 2019
We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
Díaz J.I., Hernández J., Ilyasov Y.Sh.
doaj   +1 more source

Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. Then, we prove that the trivial equilibrium (0, 0) is unstable; the disease‐free equilibrium (N, 0) is ...
Xiangyu Tang, Yujuan Chen, Mengxin Chen
wiley   +1 more source

New Trends in Free Boundary Problems

open access: yesAdvanced Nonlinear Studies, 2017
We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on ...
Dipierro Serena   +2 more
doaj   +1 more source

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