Results 81 to 90 of about 115,619 (374)
On a degenerate parabolic equation from double phase convection
The initial-boundary value problem of a degenerate parabolic equation arising from double phase convection is considered. Let a ( x ) $a(x)$ and b ( x ) $b(x)$ be the diffusion coefficients corresponding to the double phase respectively.
Huashui Zhan
doaj +1 more source
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
We consider the general degenerate hyperbolic-parabolic equation: $$u_t + {\rm div} f(u) - \Delta \phi(u) = 0\; {\rm in} Q = (0, T) \times \Omega, \quad T > 0, \quad \Omega \subset \mathbb{R}^N;$$with initial condition and the zero flux boundary ...
B. Andreianov, Mohamed Karimou Gazibo
semanticscholar +1 more source
Tailoring Robust Quantum Anomalous Hall Effect via Entropy‐Engineering
Bandstructure renormalization, without (w/o) spin‐orbit interaction (SOI) (left) and with SOI (right), in the low‐energy Dirac bands of zero‐entropy (purple) and entropic (green) VCl3 monolayer (ML) with long‐range ordering (LRO). Abstract The development of quantum materials and the tailoring of their functional properties is of fundamental interest ...
Syeda Amina Shabbir+3 more
wiley +1 more source
Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
Vecer derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options with generally sampled average. It is well understood that there exists a unique probabilistic solution to such a problem but it remained ...
Dong, Hongjie, Kim, Seick
core +1 more source
The intensive lath‐shaped Ag2Te Widmannstätten nanoprecipitates are in situ generated in SnTe via AgPbSbTe3 alloying, and align with the formation of the parallel type and twin type interfaces. These Widmannstätten nanoprecipitates effectively scatter phonons to reduce the lattice thermal conductivity, resulting in a significantly enhanced average ZT ...
Tu Lyu+10 more
wiley +1 more source
Quasiconformal mappings and degenerate elliptic and parabolic equations
In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza+1 more
doaj
Slightly Compressible Forchheimer Flows in Rotating Porous Media
We formulate the the generalized Forchheimer equations for the three-dimensional fluid flows in rotating porous media. By implicitly solving the momentum in terms of the pressure's gradient, we derive a degenerate parabolic equation for the density in ...
Celik, Emine, Hoang, Luan, Kieu, Thinh
core
Mie‐Resonant Metasurfaces with Controlled Silicon Oxidation in Electron‐Beam Deposition
Electron‐beam deposition is optimized to prevent silicon oxidation by controlling chamber pressure and deposition rate, yielding refractive index values comparable to other methods. This tunability enables precise control of optical properties. Mie‐resonant metasurfaces exhibit strong, tunable collective resonances, allowing the fabrication of silicon ...
Neal Raney, Viktoriia E. Babicheva
wiley +1 more source
The supergravity and in‐situ evaporation are utilized to produce GO thin films with a record‐high mechanical strength of 540 MPa. The supergravity confines the 2D flakes within a very thin layer and creates a large all‐directional shear stress to induce the superalignment, while in‐situ evaporation accelerates the dehydration and facilitates the ester ...
Dawei Zhang+10 more
wiley +1 more source
On Tricomi Problem of Chaplygin’s Hodograph Equation
The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously ...
Meng Xu, Li Liu, Hairong Yuan
doaj +1 more source