Results 11 to 20 of about 12,187,697 (193)

Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators

Mathematics, 2023
In this paper, the method of transmutation operators is used to construct an exact solution of the Goursat problem for a fourth-order hyperbolic equation with a singular Bessel operator.
Sergei M. Sitnik, Shakhobiddin T. Karimov   +1 more
doaj   +2 more sources

On the solvability of the Goursat problem for one class of loaded second-order hyperbolic equations

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper the solvability of the Goursat problems for two locally loaded second-order hyperbolic equations with a wave operator in the main part was explored.
A.Kh. Attaev
doaj   +2 more sources

On the Representation of the Goursat Boundary Problem Solution for the First Order Partial Derivatives Stochastic Hyperbolic Equations

Известия Иркутского государственного университета: Серия "Математика", 2023
We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions.
K.B. Mansimov, R.O. Mastaliyev
doaj   +2 more sources

Summable solutions of the Goursat problem for some partial differential equations with constant coefficients [PDF]

Journal of Differential Equations, 2021
We consider the Goursat problem for linear partial differential equations with constant coefficients in two complex variables. We find the conditions for summable solutions of the Goursat problem in the case when the Newton polygon has exactly one side ...
S. Michalik
semanticscholar   +1 more source

Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas

Studies in applied mathematics (Cambridge), 2023
This study concerns with the existence–uniqueness of local classical sonic‐supersonic solution to a degenerate Cauchy–Goursat problem that arises in transonic phenomena. The flow is governed by 2‐D steady isentropic Euler system with a polytropic van der
H. Srivastava, M. Zafar
semanticscholar   +1 more source

Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes [PDF]

Reviews in Mathematical Physics, 2021
In this paper, we construct a conformal scattering theory for Dirac fields in the interior of a Reissner–Nordström-like black hole, between the black hole event horizon and the Cauchy horizon.
Mokdad Mokdad
semanticscholar   +1 more source

GOURSAT PROBLEM FOR THE ADJOINT MODEL TELEGRAPH EQUATION WITH THE RATE a(s, t) IN THE UPPER HALF-PLANE

HERALD OF POLOTSK STATE UNIVERSITY. Series С FUNDAMENTAL SCIENCES, 2022
In the upper half-plane, the classical solution and correctness criterion of the Goursat problem for a linear inhomogeneous adjoint model telegraph equation with variable rate a(s,t) are found explicitly. An explicit formula is obtained for the classical
F. Lomovtsev
semanticscholar   +1 more source

Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures

Computer Graphics Forum, Volume 42, Issue 5, August 2023., 2023
Abstract The estimation of differential quantities on oriented point cloud is a classical step for many geometry processing tasks in computer graphics and vision. Even if many solutions exist to estimate such quantities, they usually fail at satisfying both a stable estimation with theoretical guarantee, and the efficiency of the associated algorithm ...
J.‐O. Lachaud, D. Coeurjolly, C. Labart, P. Romon, B. Thibert   +4 more
wiley   +1 more source

Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$

Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023
Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
wiley   +1 more source

Soil Deformation around a Cylindrical Cavity under Drained Conditions: Theoretical Analysis

Advances in Civil Engineering, Volume 2022, Issue 1, 2022., 2022
This paper proposes analytical solutions to the soil deformation around a cylindrical cavity under drained conditions. Analytical procedures are used to predict the degree of interaction between cavities and ground surface loads based on mathematical theorems.
Pieride Mabe Fogang, Yang Liu, Jiale Zhao, Kevin Igor Azeuda Ndonfack, Paolo S. Valvo   +4 more
wiley   +1 more source