Results 51 to 60 of about 5,520,045 (177)
Fundamental Solutions of the Axial Symmetric Goursat Problem [PDF]
Journal of Nonlinear Mathematical Physics, 1996 Summary: Fundamental solutions with a given boundary condition on the characteristics of relativistic problems with axial symmetry are considered. This is the so-called Goursat problem, or zero plane formalism in Dirac's terminology, or modification of the proper time method in the Fock-Nambu-Schwinger formalism.
Borghardt, A. A. +2 more
openaire +2 more sources
Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, Volume 537, Issue 6, June 2025.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
wiley +1 more source
Riemann and Goursat step data problems for extensible strings [PDF]
, 1975 Riemann and Goursat step data problems for extensible nonlinear elastic strings are solved in the class of regulated functions. In the first paragraph, the solution to the simplest initial and boundary value problem, i.e., Goursat problem in strains, is ...
I Suliciu +3 more
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Journal of Geophysical Research: Planets, Volume 130, Issue 4, April 2025.Abstract Certain spiral density waves in Saturn's rings are generated through resonances with planetary normal modes, making them valuable probes of Saturn's internal structure. Previous research has primarily focused on the rotation rates of these waves. However, other characteristics of these waves also contain valuable information about the planet's
V. M. Afigbo +6 more
wiley +1 more source
An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed +2 more
wiley +1 more source
On a proplem for generalized Boussinesq-Love equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 For a fourth-order equation with two independent variables a variant of the Goursat problem with data on two intersecting characteristics is considered.
Zhegalov, Valentin Ivanovich
doaj +3 more sources
Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9469-9475, August 2024.We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of the wave equation on the light cone is already known for odd spatial dimensions.
Dabin Park, Sunghwan Moon
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley +1 more source
Relative Goursat categories [PDF]
, 2012 We define relative Goursat categories and prove relative versions of the equivalent conditions defining regular Goursat categories. These include 3-permutability of equivalence relations, preservation of equivalence relations under direct images, a ...
Janelidze, Tamar +3 more
core +1 more source
Totally deranged elements of almost simple groups and invariable generating sets
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
wiley +1 more source