Russian Journal of Mathematical Physics
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On the compatibility equations in terms of stresses in many-dimensional elastic medium
Russian Journal of Mathematical Physics - Tập 22 - Trang 6-8 - 2015
By equating to zero all components of the Kröner incompatibility tensor of rank 2n − 4 or of the Riemann tensor dual to the Kröner tensor, n
2(n
2 − 1)/12 independent consistency equations for the stresses in an n-dimensional isotropic elastic medium are derived. The problem concerning the equivalence of the system of these equations to systems following from equati......
Continuity Criterion for Locally Bounded Endomorphisms of Connected Reductive Lie Groups
Russian Journal of Mathematical Physics - Tập 30 - Trang 126-127 - 2023
We prove that every locally bounded endomorphism
$$\pi$$
of a connected reductive Lie group taking the center of the group to the center is continuous if and only if the restriction
$$\pi|_Z$$
of
......
Asymptotic Approximations for Solutions of Sturm–Liouville Differential Equations with a Large Complex Parameter and Nonsmooth Coefficients
Russian Journal of Mathematical Physics - - 2020
On the minimal number of critical points of smooth maps between closed manifolds
Russian Journal of Mathematical Physics - Tập 16 - Trang 363-370 - 2009
New information concerning the minimal number of critical points of smooth proper mappings between closed connected surfaces (possibly with boundary) without critical points on the boundary is presented.
Collection of materials presented at the conference “Geometry and Operator Theory” dedicated to N. Teleman’s 65th birthday celebration, Ancona, 20–22 September 2007
Russian Journal of Mathematical Physics - Tập 16 Số 3 - Trang 345-349 - 2009
This paper precludes the proceedings of the conference “Geometry and Operator Theory” dedicated to N. Teleman’s 65th birthday celebration (Ancona, September 2007)
New forms of the Cauchy operator and some of their applications
Russian Journal of Mathematical Physics - Tập 23 - Trang 124-134 - 2016
In this paper, we first construct the Cauchy q-shift operator T(a, b;D
xy
) and the Cauchy q-difference operator L(a, b; θ
xy
). We then apply these operators in order to represent and investigate some new families of q-polynomials which are defined in this paper. W......
On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation
Russian Journal of Mathematical Physics - Tập 29 - Trang 342-357 - 2022
For a generalized Korteweg–de Vries–Burgers equation with a flux function having two inflection points, we construct an example in which three different monotone structures of nonclassical (special) discontinuities, or undercompressive shocks, propagate at the same velocity. The linear stability of these structures is analyzed by applying the Evans function method. It is shown that some of them a......
On Homogenization for Piecewise Locally Periodic Operators
Russian Journal of Mathematical Physics - Tập 30 - Trang 270-274 - 2023
We discuss homogenization of a strongly elliptic operator
$$\mathcal A^\varepsilon=-\operatorname{div}A(x,x/\varepsilon_\#)\nabla$$
on a bounded
$$C^{1,1}$$
domain in
......
On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
Russian Journal of Mathematical Physics - Tập 14 - Trang 423-429 - 2007
We give a variational proof of the existence of infinitely many bound states placed below the continuous spectrum for spin-orbit Hamiltonians (including the Rashba and Dresselhaus cases) perturbed by measure potentials, thus extending results of J. Brüning, V. Geyler, K. Pankrashkin, J. Phys. A: Math. Theor. 40 F113–F117 (2007).
To the Justification of the Effectiveness of Future Mathematics in the New Biology
Russian Journal of Mathematical Physics - - 2022
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