Nonuniformly Loaded Stack of Antiplane Shear Cracks in One‐Dimensional Piezoelectric Quasicrystals
Representations in a closed form are derived, using an extension to the method of dislocation layers, for the phonon and phason stress and electric displacement components in the deformation of one‐dimensional piezoelectric quasicrystals by a nonuniformly loaded stack of parallel antiplane shear cracks.
G. E. Tupholme, Zhiping Luo
wiley +1 more source
The Neumann problem for the 2‐D Helmholtz equation in a domain, bounded by closed and open curves
The Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind, which is uniquely solvable. Our approach holds for both internal and external domains.
P. A. Krutitskii
wiley +1 more source
On the approximate solution of nonlinear singular integral equations with positive index
This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.
S. M. Amer
wiley +1 more source
Markov chains with quasitoeplitz transition matrix
This paper investigates a class of Markov chains which are frequently encountered in various applications (e.g. queueing systems, dams and inventories) with feedback. Generating functions of transient and steady state probabilities are found by solving a special Riemann boundary value problem on the unit circle. A criterion of ergodicity is established.
Alexander M. Dukhovny
wiley +1 more source
On the Families of Hyperbolic Derivatives with the Quasi-L ̈owner Dynamics of Pre-Schwarzians [PDF]
The dynamics of the critical point set for the hyperbolic derivatives of the family of holomorphic functions in the unit disk with pre-Schwarzians satisfying the equation of the quasi-L wner type is studied.
A.V. Kazantsev
doaj
Generalized simplicial chiral models [PDF]
Using the auxiliary field representation of the simplicial chiral models on a (d-1)-dimensional simplex, the simplicial chiral models are generalized through replacing the term Tr$(AA^{\d})$ in the Lagrangian of these models by an arbitrary class ...
't Hooft +20 more
core +4 more sources
Sectio Aurea Conditions for Mityuk's Radius of Two-Connected Domains [PDF]
Connection of an exterior inverse boundary value problem with the critical points of some surface is one of the central themes in the theory of exterior inverse boundary value problems for analytic functions.
A.V. Kazantsev
doaj
Uniqueness of the minimum of the free energy of the 2D Yang-Mills theory at large N
There has been some controversies at the large $N$ behaviour of the 2D Yang-Mills and chiral 2D Yang-Mills theories. To be more specific, is there a one parameter family of minima of the free energy in the strong region, or the minimum is unique. We show
A. AGHAMOHAMMADI +5 more
core +1 more source
On The Douglas-Kazakov Phase Transition [PDF]
We give a rigorous proof of the fact that a phase transition discovered by Douglas and Kazakov in 1993 in the context of two-dimensional gauge theories occurs. This phase transition can be formulated in terms of the Brownian bridge on the unitary group U(
Lévy, Thierry, Maida, Mylene
core +4 more sources
Multidimensional Inverse Scattering of Integrable Lattice Equations
We present a discrete inverse scattering transform for all ABS equations excluding Q4. The nonlinear partial difference equations presented in the ABS hierarchy represent a comprehensive class of scalar affine-linear lattice equations which possess the ...
Ablowitz M J +11 more
core +1 more source

