Results 211 to 220 of about 13,126,193 (259)

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Hyperbolic Rotations With Hybrid Numbers

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk   +2 more
wiley   +1 more source

Generalizations of the Dirichlet Problem for Bianalytic Functions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos   +3 more
wiley   +1 more source

High Dynamic Range Turbo‐FLASH B1 Mapping for Characterizing Multi‐Transmit Multi‐Receive RF Arrays, Validated at 7 T and 11.7 T

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Transmit (B1+) and receive (B1−) sensitivities of parallel‐transmit/receive RF array are a prerequisite for modern ultra‐high‐field MRI. Their accurate mapping remains challenging for coils with high transmit dynamic range, particularly in regions with low combined‐mode B1+ magnitude, where standard reconstruction is impaired by noise.
Natalia Dudysheva   +5 more
wiley   +1 more source

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