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Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]

PLoS One
Alawaideh YM, Al-Khamiseh BM, Adu IK.
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The Key Role of Thermal Relaxation Time on the Improved Generalized Bioheat Equation: Analytical Versus Simulated Numerical Approach. [PDF]

Materials (Basel)
Trefilov AMI, Oane M, Duta L.
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Particle Filtering-Based In-Flight Icing Detection for Unmanned Aerial Vehicles. [PDF]

Sensors (Basel)
Souanef T, Tadjine M, Horri N, Chaabeni I, Boulassel B.   +4 more
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Online Optimizing Control and Dynamic Operation and Design Optimization of a Batch Electrodialysis Process for Sulfuric Acid Recovery. [PDF]

Ind Eng Chem Res
Latinis A, Papadopoulos AI, Seferlis P.
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Bulk photogalvanic current control and gap spectroscopy in 2D hexagonal materials.

J Mater Chem C Mater
Galler A, Neufeld O.
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Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization. [PDF]

Philos Trans A Math Phys Eng Sci
Burger M, Kabri S, Korolev Y, Roith T, Weigand L.   +4 more
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Structure of Dirac matrices and invariants for nonlinear Dirac equations

Structure of Dirac matrices and invariants for nonlinear Dirac equations
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On nonlinear Dirac equations

Journal of Mathematical Physics, 2019
This paper is concerned with the multiplicity of solutions for the nonlinear Dirac equation −i∑k=13αk∂ku+(V(x)+a)βu+ωu=Fu(x,u), where V (x) is a potential function and F(x, u) is a nonlinear function modeling various types of interactions. Under suitable assumptions on V (x) and F(x, u), we prove the existence of infinitely many geometrically distinct ...
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