Results 111 to 120 of about 11,370,086 (322)
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
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On the Cauchy problem for equations with multiple characteristic roots [PDF]
Tadayoshi Kano
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Nonlocal Mixed Systems With Neumann Boundary Conditions
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
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Cauchy problem for the hyperbolic system with mixed derivatives
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
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On the uniqueness of solutions of the Cauchy problem for hypoelliptic partial differential operators [PDF]
Hitoshi Kumano‐Go
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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
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Cauchy problem for the hyperbolic equation with a small parameter [PDF]
Josef Nedoma
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Asymptotic Analysis of Stokes Flow Through a Filter
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
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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
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A remark on the uniqueness of the non-characteristic Cauchy problem for equations of parabolic type [PDF]
Akira Tsutsumi
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