Results 61 to 70 of about 117 (113)

Existence and uniqueness results of solutions for a new class of parabolic varitional inequalities related with impulse control problem

Nonlinear Engineering
In this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah, Guefaifia Rafik, Haiour Mohamed   +2 more
doaj   +1 more source

Global stability of stage-structured single species model on with Beverton–Holt birth function

Applied Mathematics in Science and Engineering
Our article discusses a Cauchy problem of a single species model with stage structure and Beverton–Holt birth function. The global stability of the Cauchy problem is completely surveyed by using the global stability of the corresponding elliptic system ...
Hongtao Zhang, Jingfu Zhao
doaj   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Linear asymptotic stability of a free boundary problem modeling tumor growth with two-phase Stokes equations

Advances in Nonlinear Analysis
In this paper, we consider a two-phase fluid tumor model by assuming that the tumor and its growth environment are two incompressible fluids with different viscosities.
Wu Junde, Ren Yanting
doaj   +1 more source

MODELLING AND ANALYSIS OF DROPLET MOTION ON A PLANE

, 2009
1.Introduction 2.Model 3.Model equation and its properties 4.Existence of weak solution 5.ConclusionProceedings of the Czech-Japanese Seminar in Applied Mathematics 2008Takachiho University of Miyazaki, Miyazaki, Japan, September 1-7, 2008AMS subject ...
Śvadlenka, Karel, Omata, Seiro
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Stationary solutions and asymptotic behaviour for a nonlinear free-boundary tumour model with three layers

European Journal of Applied Mathematics
In this paper, we study a nonlinear free boundary problem modelling the growth of radially symmetric tumours. The tumour consists of a central necrotic core, an intermediate quiescent layer and an outer proliferating shell. The evolution of tumour layers
Junde Wu, Hao Xu, Yuehong Zhuang
doaj   +1 more source

A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS

, 2013
This work is concerned with spectral Jacobi-collocation methods for Volterra integral equations of the second kind with a weakly singular of the form (t − s) −α . When the underlying solutions are sufficiently smooth, the convergence analysis was carried
Xianjuan Li, Tao Tang, Yanping Chen
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On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells

European Journal of Applied Mathematics
The Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori   +3 more
doaj   +1 more source

Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]

J Math Biol, 2023
Lu MJ, Hao W, Hu B, Li S.
europepmc   +1 more source

"Nonlinear Problems in Superconductivity," First World Congress of Nonlinear Analysts Tampa, Florida, August 19-26, 1992

, 2007
. A formal asymptotic analysis of the Ginzburg-Landau model of superconductivity is performed and it is found that the leading order solution satisfies a vectorial version of the Stefan problem for the melting or solidification of a pure material.
Preprint Mcs-p, Man Kam Kwong, Edited By, Edited C. Y. Chan   +3 more
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