Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence
E. Horst (1987)
Banach Center Publications
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E. Horst (1987)
Banach Center Publications
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Bernard Ducomet (2001)
Mathematica Bohemica
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We revisit a hydrodynamical model, derived by Wong from Time-Dependent-Hartree-Fock approximation, to obtain a simplified version of nuclear matter. We obtain well-posed problems of Navier-Stokes-Poisson-Yukawa type, with some unusual features due to quantum aspects, for which one can prove local existence. In the case of a one-dimensional nuclear slab, we can prove a result of global existence, by using a formal analogy with some model of nonlinear "viscoelastic" rods.
Petr Volf, Tomáš Kouřim (2024)
Kybernetika
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This paper presents a model of binary random sequence with probabilities depending on previous sequence values as well as on a set of covariates. Both these dependencies are expressed via the logistic regression model, such a choice enables an easy and reliable model parameters estimation. Further, a model with time-depending parameters is considered and method of solution proposed. The main objective is then the application dealing with both artificial and real data cases, illustrating...
Urszula Foryś, Zuzanna Szymańska (2009)
Applicationes Mathematicae
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We present two simple models describing relations between heterotrophic and autotrophic organisms in the land and water environments. The models are based on the Dawidowicz & Zalasiński models but we assume the boundedness of the oxygen resources. We perform a basic mathematical analysis of the models. The results of the analysis are complemented by numerical illustrations.
Ryszard Rudnicki, Radosław Wieczorek (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We present two new models of the dynamics of phytoplankton aggregates. The first one is an individual-based model. Passing to infinity with the number of individuals, we obtain an Eulerian model. This model describes the evolution of the density of the spatial-mass distribution of aggregates. We show the existence and uniqueness of solutions of the evolution equation.
Zihan Chen, Yu Xing, Huashu Qin (2019)
Kybernetika
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This paper studies a new model of social opinion dynamics in multiagent system by counting in two important factors, individual susceptibility and anchoring effect. Different from many existing models only focusing on one factor, this model can exhibit not only agreement phenomena, but also disagreement phenomena such as clustering and fluctuation, during opinion evolution. Then we provide several conditions to show how individual susceptibility and anchoring effect work on steady-state...
P. Blahuš (1975)
Applicationes Mathematicae
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Meri Lisi, Silvia Totaro (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper, we study a one-dimensional mathematical model for a contracting interstellar cloud, with a star inside. Existence and uniqueness of a positive solution are proved by means of the fixed point theorem. A time discretization procedure is given and the case of an expanding interstellar cloud is also considered.
Daniel Bouche, Alain Decoster, Laurent Desvillettes, Valeria Ricci (2013)
MathematicS In Action
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We propose in this short note a method enabling to write in a systematic way a set of refined equations for average ion models in which correlations between populations are taken into account, starting from a microscopic model for the evolution of the electronic configuration probabilities. Numerical simulations illustrating the improvements with respect to standard average ion models are presented at the end of the paper.
I. N. Vladimirov, A. K. Chudnenko (2009)
Mathematical Modelling of Natural Phenomena
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We examine the theoretical and applications-specific issues relating to modeling the temporal and spatial dynamics of forest ecosystems, based on the principles of investigating dynamical models. When developing the predictive dynamical models of forest resources, there is a possibility of achieving uniqueness of the solutions to equations by taking into account the initial and boundary conditions of the solution, and the conditions of the geographical environment. We present the results...
G. de Soete (1983)
Mathématiques et Sciences Humaines
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