Results 1 to 10 of about 16,520 (117)
Communications in Nonlinear Science and Numerical Simulation, 2021 In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical.
M. Negreanu, A.M. Vargas
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On explosive solutions for a class of quasi-linear elliptic equations [PDF]
, 2012 We study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary ...
Gladiali, Francesca, Squassina, Marco
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Solvable Nonlinear Evolution PDEs in Multidimensional Space [PDF]
, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schr\"odinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Calogero, Francesco, Sommacal, Matteo
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On the stability of homogeneous steady states of a chemotaxis system with logistic growth term [PDF]
, 2016 We consider a nonlinear PDEs system of Parabolic-Elliptic type with chemotactic terms. The system models the movement of a population “n” towards a higher concentration of a chemical “c” in a bounded domain Ω. We consider constant chemotactic sensitivity
Chaplain, Mark Andrew Joseph +1 more
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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes [PDF]
, 2016 A variety of gravitational dynamics problems in asymptotically anti-de Sitter (AdS) spacetime are amenable to efficient numerical solution using a common approach involving a null slicing of spacetime based on infalling geodesics, convenient exploitation
Chesler, Paul M., Yaffe, Laurence G.
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Analytic self-similar solutions of the Oberbeck-Boussinesq equations [PDF]
, 2015 In this article we will present pure two-dimensional analytic solutions for the coupled non-compressible Newtoniain Navier-Stokes --- with Boussinesq approximation --- and the heat conduction equation. The system was investigated from E.N.
Barna, I. F., Matyas, L.
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Doubly Spinning Black Rings [PDF]
, 2006 We study a method to solve stationary axisymmetric vacuum Einstein equations numerically. As an illustration, the five-dimensional doubly spinning black rings that have two independent angular momenta are formulated in a way suitable for fully nonlinear ...
Hideaki Kudoh, W. Press
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Asymptotically Hyperbolic Non Constant Mean Curvature Solutions of the Einstein Constraint Equations [PDF]
, 1996 We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of large sets of non constant mean curvature solutions of the Einstein constraints on closed manifolds can be adapted to verify the existence of large sets of ...
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The Cauchy problem for the Pavlov equation [PDF]
, 2014 Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature.
Grinevich, P. G., Santini, P. M., Wu, D.
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Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology [PDF]
, 2006 We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is
Kutafina, Ekaterina V. +2 more
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