Resurgence and Riemann-Hilbert Problems for Elliptic Calabi-Yau Threefolds. [PDF]
Bridgeland T, Tulli I.
europepmc +1 more source
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems. [PDF]
Bechtel S, Veraar M.
europepmc +1 more source
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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From Trait-Structured Within-Host Dynamics to SIR Models: A Multiscale Framework With Re-Exposure. [PDF]
Kenne C, Zongo P.
europepmc +1 more source
On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
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A Discrete Informational Framework for Classical Gravity: Ledger Foundations and Galaxy Rotation Curve Constraints. [PDF]
Simons M, Allahyarov E, Washburn J.
europepmc +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
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