Results 141 to 150 of about 181,693 (317)
The second initial-boundary-value problem for a linear parabolic equation with a small parameter. [PDF]
L. E. Bobisud
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ABSTRACT We present an analytical and numerical study of the entropy production rate in laminar counterflow parallel‐plate heat exchangers, aiming to investigate the interplay between multidimensional wall conduction, entropy production, and the optimum wall conductivity that leads to maximum effectiveness.
Santiago E. Ibáñez+2 more
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Second-order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations [PDF]
George W. Batten
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On the singular set of the parabolic obstacle problem
AbstractThis paper is devoted to regularity results and geometric properties of the singular set of the parabolic obstacle problem with variable right-hand side. Making use of a monotonicity formula for singular points, we prove the uniqueness of blow-up limits at singular points.
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Fully exploiting the broad untapped terahertz spectrum necessitates extending the bandwidth of practical guided‐wave systems. This work introduces a substrateless quasi‐optical integration platform to meet this need. Classical optical principles going back to the time of Michelson are adapted to a planar, micro‐machined, monolithic‐silicon platform ...
Daniel Headland+4 more
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Nonlinear parabolic boundary value problems of arbitrary order [PDF]
Felix E. Browder
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Discrete Chiral Ballistic Polariton Laser
Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner+5 more
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Free Boundary Problems for Parabolic Equations III. Dissolution of a Gas Bubble in Liquid [PDF]
Avner Friedman
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Existence and multiplicity of solutions to superlinear periodic parabolic problems
Let $\Omega\subset\mathbb{R}^{N}$ be a smooth bounded domain and let a,b,c be three (possibly discontinuous and unbounded) T-periodic functions with $c\geq0$.
Tomas Godoy, Uriel Kaufmann
doaj
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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