Results 71 to 80 of about 1,571 (266)
Degenerate Abstract Parabolic Equations and Applications
, 2015 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equations and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain.
Shakhmurov, Veli.B., Sahmurova, Aida
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Regularity analysis for an abstract system of coupled hyperbolic and parabolic equations
Journal of Differential Equations, 2015 In this paper, we provide a complete regularity analysis for an abstract system of coupled hyperbolic and parabolic equations in a complex Hilbert space. We are able to decompose the unit square of the parameters into three parts where the semigroup associated with the system is analytic, of specific order Gevrey classes, and non-smoothing ...
Jianghao Hao +2 more
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Advanced Science, EarlyView.In this study, an electrostatically self‐assembled WPU‐MXene@FC flexible fabric constructs a “nest‐like” structure on fibers, building construct MXene multiple loss paths, achieving ultra‐wideband absorption of 25.3–1200 GHz in a thickness of 1.8 mm, while also exhibiting superhydrophobicity, acid and alkali resistance, and bending resistance ...
Min Luo +7 more
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Novel exact solutions for PDEs with mixed boundary conditions
Boundary Value ProblemsWe develop methods for the solution of inhomogeneous Robin-type boundary value problems (BVPs) that arise for certain linear parabolic partial differential equations (PDEs) on a half-line, as well as a second-order generalization.
Mark Craddock +2 more
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Solutions to a phase-field model of sea ice growth
Boundary Value Problems, 2019 We shall apply the phase-field method to investigate the dynamics of sea ice growth. The model consists of two parabolic equations. The existence and uniqueness of weak solutions to an initial-boundary value problem of this model is proved.
Yangxin Tang
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Advanced Science, EarlyView.A compact eight‐channel electrically tunable varifocal metalens with three single‐layer polarization‐multiplexed bi‐focal metalens and three LC cells. The total thickness of the device is ∼6 mm, while the focal lengths can be switched among eight values (3.6, 4.2, 4.5, 4.9, 6.2, 6.9, 8.4, and 9.6 mm). ABSTRACT As an essential module of optical systems,
Zhiyao Ma +11 more
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Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, 1997 In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately ...
Siegfried Carl
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Advanced Science, EarlyView.The human brain's imagination, which enables autonomous driving hazard avoidance by completing missing visual information, relies on Gaussian‐stochastic neuron. We report the altermagnetic RuO2 spintronic neurons integrating field‐free switching and intrinsic Gaussian stochasticity, building an all‐spin ANN for high‐quality image repairing and high ...
Junwei Zeng +9 more
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Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
Bruno Pini Mathematical Analysis Seminar, 2011 We provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0.
Angelo Favini
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Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces [PDF]
Nagoya Mathematical Journal, 1961 The object of the present paper is to prove some theorems concerning the existence and the uniqueness of the solution of the initial value problem for the evolution equation(E).
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