Results 111 to 120 of about 11,370,086 (322)

Numerical Method for Solving an inverse Cauchy problem for Helmholtz equation using CGLS, BICGSTAB and PCG

open access: yesAcademic Science Journal
In this work, an inverse Cauchy problem of Helmholtz equation for thermal conductivity at the edge of the target was considered. In this paper, temperature on the unknown boundary (the inner boundary)  is determined, by taking advantage of the  Cauchy ...
salah ibrahim, Fatima Mohammed Aboud
doaj   +1 more source

Nonlocal Mixed Systems With Neumann Boundary Conditions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical results about ...
Rinaldo M. Colombo   +2 more
wiley   +1 more source

Cauchy problem for the hyperbolic system with mixed derivatives

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
Elena A Kozlova
doaj  

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

Asymptotic Analysis of Stokes Flow Through a Filter

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Stokes flow through a thin porous layer composed of a rigid, thin, periodic, and closely packed array of parallel long rods with a noncircular, anisotropic cross‐section in the shape of a slot. This shape allows for the construction of a thicker permeable filter than what is known as the Brinkman critical size.
Georges Griso   +2 more
wiley   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan   +3 more
wiley   +1 more source

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