Results 31 to 40 of about 26,140 (200)

Crack Propagation in the Human Bone. Mode I of Fracture

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture.
Craciun E. M., Rabaea A., Popa M. F., Mihailov C. I.   +3 more
doaj   +1 more source

A general framework for solving Riemann–Hilbert problems numerically [PDF]

Numerische Mathematik, 2012
A new, numerical framework for the approximation of solutions to matrix-valued Riemann---Hilbert problems is developed, based on a recent method for the homogeneous Painleve II Riemann---Hilbert problem. We demonstrate its effectiveness by computing solutions to other Painleve transcendents. An implementation in Mathematica is made available online.
openaire   +1 more source

Anti-plane crack in human bone. I. Mathematical modelling

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann ...
Crăciun Eduard Marius, Marin Marin, Răbâea Adrian   +2 more
doaj   +1 more source

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Kurdistan Journal of Applied Research, 2017
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the ...
Shwan H. H. Al-Shatri, Karzan Wakil, Munira Ismail   +2 more
doaj   +1 more source

The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method

Nuclear Physics B
Using the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj   +1 more source

Non-degenerate solutions of universal Whitham hierarchy

, 2010
The notion of non-degenerate solutions for the dispersionless Toda hierarchy is generalized to the universal Whitham hierarchy of genus zero with $M+1$ marked points.
Guil F, Kanehisa Takasaki, Lee Peng Teo, Martínez Alonso L, Martínez Alonso L, Mañas M, Takasaki K, Takashi Takebe, Teo L P   +8 more
core   +1 more source

Reductions of integrable equations on A.III-type symmetric spaces [PDF]

, 2010
We study a class of integrable non-linear differential equations related to the A.III-type symmetric spaces. These spaces are realized as factor groups of the form SU(N)/S(U(N-k) x U(k)). We use the Cartan involution corresponding to this symmetric space
A V Mikhailov, Helgasson S, Lombardo S Sanders J, Mikhailov A, Mikhailov A V, Mikhailov A V, T I Valchev, V S Gerdjikov   +7 more
core   +1 more source

Riemann Zeroes and Phase Transitions via the Spectral Operator on Fractal Strings [PDF]

, 2012
The spectral operator was introduced by M. L. Lapidus and M. van Frankenhuijsen [La-vF3] in their reinterpretation of the earlier work of M. L. Lapidus and H. Maier [LaMa2] on inverse spectral problems and the Riemann hypothesis.
Herichi, Hafedh, Lapidus, Michel L.
core   +1 more source

The Hilbert problem in a half-plane for generalized analytic functions with a singular point on the real axis

Учёные записки Казанского университета: Серия Физико-математические науки
This article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis.
P. L. Shabalin, R. R. Faizov
doaj   +1 more source

Thermodynamic limit of random partitions and dispersionless Toda hierarchy

, 2011
We study the thermodynamic limit of random partition models for the instanton sum of 4D and 5D supersymmetric U(1) gauge theories deformed by some physical observables.
Kanehisa Takasaki, Logan B F, Losev A, Macdonald I G, Maeda T, Marshakov A, Marshakov A, Martínez Alonso L, Mineev-Weinstein M, Nakatsu T, Nekrasov N, Nekrasov N, Okounkov A, Okounkov A, Sagan B E, Seiberg N, Takasaki K, Toshio Nakatsu, Ueno K, Vershik A M, Zabrodin A   +20 more
core   +1 more source