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

Academic 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

On the Cauchy problem for equations with multiple characteristic roots [PDF]

, 1969
Tadayoshi Kano
openalex   +1 more source

Nonlocal Mixed Systems With Neumann Boundary Conditions

Mathematical 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, Elena Rossi, Abraham Sylla   +2 more
wiley   +1 more source

Cauchy problem for the hyperbolic system with mixed derivatives

Vestnik 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  

On the uniqueness of solutions of the Cauchy problem for hypoelliptic partial differential operators [PDF]

, 1963
Hitoshi Kumano‐Go
openalex   +1 more source

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

Mathematical 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, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

Cauchy problem for the hyperbolic equation with a small parameter [PDF]

, 1967
Josef Nedoma
openalex   +1 more source

Asymptotic Analysis of Stokes Flow Through a Filter

Mathematical 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, Larysa Khilkova, Julia Orlik   +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

Mathematical 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, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

A remark on the uniqueness of the non-characteristic Cauchy problem for equations of parabolic type [PDF]

, 1965
Akira Tsutsumi
openalex   +1 more source