Our aim is the development and analysis of numerical schemes for approximately solving backward diffusion-wave problem, which involves a fractional derivative in time with order $\alpha\in(1,2)$. From terminal observations at two levels, i.e., $u(T_1)$ $u(T_2)$, we simultaneously recover initial data $u(0)$ $u_t(0)$ hence solution $u(t)$ all $t > 0$. First, existence, uniqueness, Lipschitz stab...

Diakonov theory of quantum gravity, in which tetrads emerge as the bilinear combinations fermionis fields,\cite{Diakonov2011} suggests that general relativity metric may have dimension 2, i.e. $[g_{\mu\nu}]=1/[L]^2$. Several other approaches to including model superplastic vacuum and $BF$-theories gravity support this suggesuion. The important consequence such is all diffeomorphism invariant qu...

Assume that $${\mathbb {F}}$$ is an algebraically closed field and let q denote a nonzero scalar in not root of unity. The universal Askey–Wilson algebra $$\triangle _q$$ unital associative -algebra defined by generators relations. are A, B, C the relations state each $$\begin{aligned} A+\frac{q BC-q^{-1} CB}{q^2-q^{-2}}, \qquad B+\frac{q CA-q^{-1} AC}{q^2-q^{-2}}, C+\frac{q AB-q^{-1} BA}{q^2-q...

We study the Kardar-Parisi-Zhang equation on half-line $x \geqslant 0$ with Neumann type boundary condition. Stationary measures of KPZ dynamics were characterized in recent work: they depend two parameters, parameter $u$ dynamics, and drift $-v$ initial condition at infinity. consider fluctuations height field when is given by one these stationary processes. At large time $t$, it natural to re...

The B20-type cobalt germanide CoGe was investigated by measuring the specific heat, resistivity, and $^{59}$Co nuclear magnetic resonance (NMR). We observed a phase transition at $T_Q=13.7$ K, evidenced very narrow peak of heat sharp changes spin-spin ($T_2^{-1}$) spin-lattice ($T_1^{-1}$) relaxation rates. fact that entropy release is extremely small Knight shift almost independent temperature...