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arXiv:2603.00894v1 Announce Type: new Abstract: We study the low Mach number limit of the compressible Navier-Stokes equations on the torus. For large initial data with...
arXiv:2603.00896v1 Announce Type: new Abstract: We present a formalization in Lean 4, within the framework of the mathematical library Mathlib, of the unbiasing process for...
arXiv:2603.00899v1 Announce Type: new Abstract: The inverse eigenvalue problem of a graph $G$ studies the possible spectra of matrices associated with $G$, including as an...
arXiv:2603.00900v1 Announce Type: new Abstract: We are concerned with global existence of regular solutions to full compressible Navier-Stokes equations and their asymptotic behavior when the...
arXiv:2603.00904v1 Announce Type: new Abstract: When neural networks (NNs) are used as a type of nonlinear parametric representation to solve partial differential equations (PDEs), they...
arXiv:2603.00910v1 Announce Type: new Abstract: Layer-wise capacity in large language models is highly non-uniform: some layers contribute disproportionately to loss reduction while others are near-redundant....
arXiv:2603.00914v1 Announce Type: new Abstract: In this work, we present explicit constructions and computations of representative cycles for a nontrivial 2-parameter persistence module arising from...
arXiv:2603.00928v1 Announce Type: new Abstract: We prove a precise relation between simple modules in the Borel category O and the shifted category O for a...
arXiv:2603.00929v1 Announce Type: new Abstract: Quadratic Wiener functionals are investigated systematically through transformations of order one on the Wiener space with the help of Malliavin...
arXiv:2603.00930v1 Announce Type: new Abstract: We introduce an information-theoretic framework for caching in derivation-based reasoning engines under independent premise erasure. Two decoder models are compared:...
arXiv:2603.00933v1 Announce Type: new Abstract: This paper studies a class of $p$-Laplace equations with cubic polynomial nonlinearity \[ \Delta_p v + (v-a_1)(v-a_2)(v-a_3) = 0 \]...
arXiv:2603.00934v1 Announce Type: new Abstract: Best-response (BR) schemes represent an important avenue for learning equilibria in noncooperative games. However, extant rate guarantees for BR schemes...
arXiv:2603.00939v1 Announce Type: new Abstract: At the beginning of the study of the bispectral problem, see [18], the ad-conditions played a crucial role in finding...
arXiv:2603.00942v1 Announce Type: new Abstract: In this paper, we firstly establish weighted heat kernel comparison theorems for the weighted heat equation on complete manifolds with...
arXiv:2603.00943v1 Announce Type: new Abstract: In industrial automation or emergency rescue, sensors and robots work together with the help of an edge information hub (EIH)...
arXiv:2603.00945v1 Announce Type: new Abstract: We study non-rectangular robust Markov decision processes under the average-reward criterion, where the ambiguity set couples transition probabilities across states...
arXiv:2603.00953v1 Announce Type: new Abstract: In this paper, we investigate the global existence of strong solutions for the inhomogeneous incompressible viscoelastic system with only velocity...
arXiv:2603.00956v1 Announce Type: new Abstract: We consider the Cauchy problem for the generalized Kadomtsev-Petviashvili equations with the dissipation term $-\nu u_{xx}$ in 2D. This is...
arXiv:2603.00957v1 Announce Type: new Abstract: In this paper, we prove the global existence of strong solutions for the inhomogeneous incompressible viscoelastic system without any additional...
arXiv:2603.00962v1 Announce Type: new Abstract: We propose a novel penalty method framework for the non-self-adjoint topology optimization problems, taking compliant mechanism problems as an example,...
arXiv:2603.00969v1 Announce Type: new Abstract: This manuscript is devoted to the study of mappings, satisfying the upper weighted Poletsky inequality. We study the case where...
arXiv:2603.00970v1 Announce Type: new Abstract: The notions of faithfully projective, faithfully flat, and faithfully injective modules--defined as modules for which the three classical homological functors...
arXiv:2603.00982v1 Announce Type: new Abstract: Single-server queues with customer abandonment arise in call centers and many service systems, but steady-state performance measures remain analytically intractable...
arXiv:2603.01002v1 Announce Type: new Abstract: In the paper it is proven that the two-players turn-based stochastic game "Risk or Safety" has a unique solution. Both...