Results 31 to 40 of about 123,411 (109)

On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.
Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng   +2 more
wiley   +1 more source

Hermite solution for a new fractional inverse differential problem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj   +2 more
wiley   +1 more source

Generalizing and Improving Bilingual Word Embedding Mappings with a Multi-Step Framework of Linear Transformations

open access: yesAAAI Conference on Artificial Intelligence, 2018
Using a dictionary to map independently trained word embeddings to a shared space has shown to be an effective approach to learn bilingual word embeddings.
Mikel Artetxe   +2 more
semanticscholar   +1 more source

Optimized Predator‐Prey and MPA Based Fishing Strategies for the Baltic Sea

open access: yesNatural Resource Modeling, Volume 38, Issue 1, February 2025.
ABSTRACT Marine protected areas (MPAs) have become the de‐facto mechanism for marine species conservation and management and the ecological benefits of no take zones (NTZs) are supported by an expanding scientific interest in their effectiveness. However, in the south‐western Baltic region there is a paucity of studies on the validity of MPAs, possibly
Simon Taylor, Malte Braack
wiley   +1 more source

Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.
Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi   +2 more
wiley   +1 more source

Linear Transformations

open access: yesGalois Theory and Advanced Linear Algebra, 2019
The n×m matrix AT obtained by exchanging rows and columns of A is called the transpose of A. A matrix A is said to be symmetric if A = AT . The sum of two matrices of equal size is the matrix of the entry-by-entry sums, and the scalar product of a real ...
Rajnikant Sinha
semanticscholar   +1 more source

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