Results 141 to 150 of about 216,973 (262)
Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
The Laplace Equation in Space [PDF]
Proceedings of the National Academy of Sciences, 1945 Kasner, Edward, DeCicco, John
openaire +2 more sources
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Time fractional modeling of MHD natural convection flow between parallel plates via caputo-fabrizio integral. [PDF]
Sci RepMasood K.
europepmc +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Lévy Diffusion Under Power-Law Stochastic Resetting. [PDF]
Entropy (Basel)Liu J, Li Y, Marchesoni F.
europepmc +1 more source
Informed Dictionary‐Guided Monte Carlo Inversion for Robust and Reproducible Multidimensional MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a robust and efficient multidimensional MRI (MD‐MRI) data processing framework for accurately estimating joint frequency‐dependent diffusion‐relaxation distributions, while overcoming computational limitations and noise instability inherent to Monte Carlo (MC) inversion.
Joon Sik Park +3 more
wiley +1 more source
New solutions of multidimensional fuzzy fractional coupled Burgers systems via He Laplace Carson algorithm. [PDF]
Sci RepQayyum M +6 more
europepmc +1 more source
Nano Select, EarlyView.In moderately hole‐doped Sr1−xKxFe2As2${\rm Sr}_{1-x}{\rm K}_x{\rm Fe}_2{\rm As}_2$ system the pairing state is s+−${\rm s}^{+-}$ wave pairing state mediated by spin fluctuations. As the SDW order parameter increases, TC${\rm T}_C$ decreases and TM${\rm T}_M$ increases. As temperature increases, the SDW order parameter decreases and vanishes at TM${\rm
Gedefaw Mebratie +2 more
wiley +1 more source