Zobrazeno 1 - 10
of 206
pro vyhledávání: '"Kowalczyk, Michal"'
Autor:
Monreal, Javier, Kowalczyk, Michał
In this article we study a coupled system of differential equations with Allen-Cahn type non-linearity. Motivated by physical phenomena one of the unknowns in the system is accompanied by a singular perturbation parameter ${\epsilon}^2$ . By employin
Externí odkaz:
http://arxiv.org/abs/2408.14413
Autor:
Kowalczyk, Michał, Lamy, Xavier
We consider the Ginzburg-Landau heat flow on the two-dimensional flat torus, starting from an initial data with a finite number of nondegenerate zeros -- but possibly very high initial energy. We show that the initial zeros are conserved and the flow
Externí odkaz:
http://arxiv.org/abs/2211.15773
Autor:
Kowalczyk, Michał, Martel, Yvan
We consider odd symmetric (1+1)-scalar field models with one internal mode. Under natural and robust assumptions, including the Fermi golden rule, we prove the asymptotic stability of the kink by odd perturbations in the energy space. For example, th
Externí odkaz:
http://arxiv.org/abs/2203.04143
In this paper we consider a two component system of coupled non linear Schr\"odinger equations modeling the phase separation in the binary mixture of Bose-Einstein condensates and other related problems. Assuming the existence of solutions in the lim
Externí odkaz:
http://arxiv.org/abs/2201.07860
The anisotropic Ginzburg-Landau system \[ \Delta u+\delta\, \nabla (\mathrm{div}\: u) +\delta\, \mathrm{curl}^*(\mathrm{curl}\: u)=(|u|^2-1) u, \] for $u\colon\mathbb R^2\to\mathbb R^2$ and $\delta\in (-1,1)$, models the formation of vortices in liqu
Externí odkaz:
http://arxiv.org/abs/2110.07651
In an attempt to understand the soliton resolution conjecture, we consider the Sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topological sector (indexed by a positive integer degree $n$) there exists a u
Externí odkaz:
http://arxiv.org/abs/2012.11141
Matter under different equilibrium conditions of pressure and temperature exhibits different states such as solid, liquid, gas, and plasma. Exotic states of matter, such as Bose- Einstein condensates, superfluidity, chiral magnets, superconductivity,
Externí odkaz:
http://arxiv.org/abs/2009.06528
We study stability properties of kinks for the (1+1)-dimensional nonlinear scalar field theory models \begin{equation*} \partial_t^2\phi -\partial_x^2\phi + W'(\phi) = 0, \quad (t,x)\in\mathbb{R}\times\mathbb{R}. \end{equation*} The orbital stability
Externí odkaz:
http://arxiv.org/abs/2008.01276
Autor:
Kowalik, Marcin, Kowalczyk, Michał, Michalik, Jan M., Giebułtowski, Marek, Zalecki, Ryszard, Niewolski, Janusz, Tokarz, Waldemar
This paper demonstrates the method of estimation of critical temperature Tc value of high-temperature superconductors from the dispersive part of AC susceptibility measurement using a pair of neural networks.
Externí odkaz:
http://arxiv.org/abs/2002.03452
We construct new families of two-ended $O(m)\times O(n)$-invariant solutions to the Allen- Cahn equation \Delta u+u-u3=0 in $\mathbb{R}^{N+1}$, with $N\ge 7$, whose zero level sets diverge logarithmically from the Lawson cone at infinity. The constru
Externí odkaz:
http://arxiv.org/abs/1911.10881