Results 1 to 10 of about 16,380 (76)
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
openaire +3 more sources
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
core +1 more source
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
core +3 more sources
Nonlinear PDEs for gap probabilities in random matrices and KP theory [PDF]
, 2012 Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational function. In this work it is shown that such kernels are intimately related
Adler +40 more
core +4 more sources
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 ...
+20 more
core +2 more sources
Residual equilibrium schemes for time dependent partial differential equations [PDF]
, 2016 Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high ...
Pareschi, Lorenzo, Rey, Thomas
core +5 more sources
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
core +3 more sources
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.
core +1 more source
Homogenized modeling for vascularized poroelastic materials [PDF]
, 2017 A new mathematical model for the macroscopic behavior of a material composed of a poroelastic solid embedding a Newtonian fluid network phase (also referred to as vascularized poroelastic material), with fluid transport between them, is derived via ...
Merodio, José, Penta, Raimondo
core +1 more source
Asymptotic scaling in a model class of anomalous reaction-diffusion equations
, 2005 We analyze asymptotic scaling properties of a model class of anomalous reaction-diffusion (ARD) equations. Numerical experiments show that solutions to these have, for large $t$, well defined scaling properties.
Gaeta, G., Mancinelli, R.
core +2 more sources