Results 31 to 40 of about 82 (82)

A Note on Bifurcation of Equilibrium Forms of a Gas Balloon Parachute

Annales Mathematicae Silesianae
We will be concerned with deformations of a free elastic top rim of a parachute of a gas balloon. The top rim is connected with the circular deflation port of the balloon envelope by heavy duty flexible load tapes.
Zgorzelska Anita, Guze Hanna
doaj   +1 more source

Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Advanced Nonlinear Studies, 2017
Kamin and Vázquez [11] proved in 1991 that solutions to the Cauchy–Dirichlet problem for the porous medium equation ut=(um)x⁢x${u_{t}=(u^{m})_{xx}}$, m>1${m>1}$, on the half-line with zero boundary data and nonnegative compactly supported integrable ...
Cortázar Carmen, Quirós Fernando, Wolanski Noemi   +2 more
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A minimization problem with free boundary for p-Laplacian weakly coupled system

Advances in Nonlinear Analysis
In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
Fotouhi Morteza, Shahgholian Henrik
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An obstacle approach to rate-independent droplet evolution

Forum of Mathematics, Sigma
We consider a toy model of rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We introduce a notion of solutions based on an obstacle problem.
William M. Feldman, Inwon C. Kim, Norbert Požár   +2 more
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Well-posedness for physical vacuum free boundary problem of compressible Euler equations with time-dependent damping

Advances in Nonlinear Analysis
In this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
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Asymptotic behavior and sharp estimates for spreading fronts in a cooperative system with free boundaries

Advanced Nonlinear Studies
This paper investigates the dynamics of a reaction-diffusion system with two free boundaries, modeling the invasion of two cooperative species, where the free boundaries represent expanding fronts.
Qin Qian, Jiao Jinjing, Wang Zhiguo, Nie Hua   +3 more
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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
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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
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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

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