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pro vyhledávání: '"Gavioli A"'
Starting with an integral domain $D$ of characteristic $0$, we define recursively the wreath product $W_n$ of $n$ copies of $D$. For $W_n$ to be transfinite hypercentral, it is necessary to restrict to the class of wreath products defined by way of n
Externí odkaz:
http://arxiv.org/abs/2411.03846
Autor:
Gavioli, Chiara, Krejčí, Pavel
It is shown that the problem of moisture propagation in porous media with a nonlinear relation between the mass flux and the pressure gradient as a counterpart of the Darcy law exhibits the property of bounded speed of propagation even in the case of
Externí odkaz:
http://arxiv.org/abs/2410.06622
In this paper we study the $R$-braces $(M,+,\circ)$ such that $M\cdot M$ is cyclic, where $R$ is the ring of $p$-adic and $\cdot$ is the product of the radical $R$-algebra associated to $M$. In particular, we give a classification up to isomorphism i
Externí odkaz:
http://arxiv.org/abs/2406.04925
Autor:
Gavioli, Chiara, Krejčí, Pavel
Hysteresis in the pressure-saturation relation in unsaturated porous media, which is due to surface tension on the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation. Solutions to such degenerate equations have be
Externí odkaz:
http://arxiv.org/abs/2405.10764
The contribution deals with the mathematical modelling of fluid flow in porous media, in particular water flow in soils. The motivation is to describe the competition between gravity and capillarity, or, in other words, between transport and diffusio
Externí odkaz:
http://arxiv.org/abs/2405.10751
Motivated by manifold-constrained homogenization problems, we construct an extension operator for Sobolev functions defined on a perforated domain and taking values in a compact, connected $C^2$-manifold without boundary. The proof combines a by now
Externí odkaz:
http://arxiv.org/abs/2403.11690
Autor:
Gavioli, Chiara, Krejčí, Pavel
Hysteresis in the relation between the capillary pressure and the moisture content in unsaturated porous media, which is due to surface tension at the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation. Solutions
Externí odkaz:
http://arxiv.org/abs/2402.01278
Publikováno v:
Nonlinear Analysis, Theory, Methods and Applications, 248 (2024), 113623
We introduce a fractional variant of the Cahn-Hilliard equation settled in a bounded domain and with a possibly singular potential. We first focus on the case of homogeneous Dirichlet boundary conditions, and show how to prove the existence and uniqu
Externí odkaz:
http://arxiv.org/abs/2401.15738
Let $E\supseteq F$ be a field extension and $M$ a graded Lie algebra of maximal class over $E$. We investigate the $F$-subalgebras $L$ of $M$, generated by elements of degree $1$. We provide conditions for $L$ being either ideally $r$-constrained or
Externí odkaz:
http://arxiv.org/abs/2311.06540
Autor:
Gavioli, Chiara, Krejčí, Pavel
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 382 (2024), 20230299
Hysteresis in the pressure-saturation relation in unsaturated porous media, owing to surface tension on the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation. As an extension of previous existence and uniqueness
Externí odkaz:
http://arxiv.org/abs/2310.15881