Arnold diffusion: a variational construction.
Xia, Zhihong (1998)
Documenta Mathematica
Similarity:
Xia, Zhihong (1998)
Documenta Mathematica
Similarity:
Jan Eisner, Milan Kučera, Martin Väth (2016)
Applications of Mathematics
Similarity:
Given a reaction-diffusion system which exhibits Turing's diffusion-driven instability, the influence of unilateral obstacles of opposite sign (source and sink) on bifurcation and critical points is studied. In particular, in some cases it is shown that spatially nonhomogeneous stationary solutions (spatial patterns) bifurcate from a basic spatially homogeneous steady state for an arbitrarily small ratio of diffusions of inhibitor and activator, while a sufficiently large ratio is necessary...
Jela Babušíková (2001)
Applications of Mathematics
Similarity:
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
Bin Yu, Qingguo Li, Huanrong Wu (2017)
Open Mathematics
Similarity:
In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Jozef Kacur, Roger Van Keer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard's equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.
Zhi-qiang Liu (2024)
Kybernetika
Similarity:
In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.
K. Adaricheva, Wiesław Dziobiak, V. Gorbunov (1993)
Fundamenta Mathematicae
Similarity:
We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].
Călugăreanu, Grigore (1996)
Mathematica Pannonica
Similarity:
Manoj Dhake, Sachin Ballal, Vilas Kharat, Rupesh S. Shewale (2025)
Mathematica Bohemica
Similarity:
We characterize the pseudomodular lattices by means of a forbidden configuration.
D. Bouafia, T. Moussaoui, D. O’Regan (2016)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.