Results 21 to 30 of about 573 (64)
Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws [PDF]
, 2016 We consider two physically and mathematically distinct regularization mechanisms of scalar hyperbolic conservation laws. When the flux is convex, the combination of diffusion and dispersion are known to give rise to monotonic and oscillatory traveling ...
El, G. A., Hoefer, M. A., Shearer, M.
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A Review on the Modified Finite Point Method
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 The objective of this paper is to make a review on recent advancements of the modified finite point method, named MFPM hereafter. This MFPM method is developed for solving general partial differential equations. Benchmark examples of employing this method to solve Laplace, Poisson, convection‐diffusion, Helmholtz, mild‐slope, and extended mild‐slope ...
Nan-Jing Wu +3 more
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Towards a unification of HRT and SCOZA
, 2005 The Hierarchical Reference Theory (HRT) and the Self-Consistent Ornstein-Zernike Approximation (SCOZA) are two liquid state theories that both furnish a largely satisfactory description of the critical region as well as phase separation and the equation ...
A. Reiner +5 more
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Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The purpose of this paper is twofold. Firstly we consider nonlinear nonsmooth elliptic boundary value problems, and also related parabolic initial boundary value problems that model in a simplified way steady‐state unilateral contact with Tresca friction in solid mechanics, respectively, stem from nonlinear transient heat conduction with unilateral ...
J. Gwinner, Donal O′Regan
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Semiflow selection and Markov selection theorems
, 2019 The deterministic analog of the Markov property of a time-homogeneous Markov process is the semigroup property of solutions of an autonomous differential equation.
Cardona, Jorge E., Kapitanski, Lev
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Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
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Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 This paper concentrates on finding the optimal distribution for continuum structure such that the structural weight with stress constraints is minimized where the physical design domain is discretized by finite elements. A novel Independent‐Continuous‐Mapping (ICM) method is proposed to convert equivalently the binary design variables which is used to ...
Tie Jun, Sui Yun-kang, Song Cen
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Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity [PDF]
, 2006 This paper deals with a thermomechanical model describing phase transitions with thermal memory in terms of balance and equilibrium equations for entropy and microforces, respectively.
Bonetti, Elena +3 more
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Reviewing mathematical models of sperm signaling networks
Molecular Reproduction and Development, Volume 91, Issue 8, August 2024.Abstract Dave Garbers’ work significantly contributed to our understanding of sperm's regulated motility, capacitation, and the acrosome reaction. These key sperm functions involve complex multistep signaling pathways engaging numerous finely orchestrated elements.
Daniel Priego Espinosa +6 more
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Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 This paper contributes a new matrix method for the solution of high‐order linear complex differential equations with variable coefficients in rectangular domains under the considered initial conditions. On the basis of the presented approach, the matrix forms of the Bernoulli polynomials and their derivatives are constructed, and then by substituting ...
Faezeh Toutounian +3 more
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