Results 181 to 190 of about 1,571 (266)

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Revisiting thermoelectric transport properties through a band nonparabolicity factor. [PDF]

Natl Sci Rev
Zhu J, Liu M, Dong X, Li J, Liu PF, Chen X, Liu Z, Zhang Y, Guo F, Sui J.   +9 more
europepmc   +1 more source

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, EarlyView.
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
wiley   +1 more source

Effective discrete-level density matrix model for unipolar quantum optoelectronic devices. [PDF]

Nanophotonics
Jirauschek C.
europepmc   +1 more source

Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source

Information Entropy Metrics to Address the Complexity of Cooperative Gating of Ion Channels. [PDF]

Entropy (Basel)
Wawrzkiewicz-Jałowiecka A, Trybek P, Wojcik M, Borys P.   +3 more
europepmc   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
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
wiley   +1 more source

Variational approach to multimode nonlinear optical fibers. [PDF]

Nanophotonics
Lorenzi F, Salasnich L.
europepmc   +1 more source

Asymptotic equivalence of abstract parabolic equations with delays

Journal of Mathematical Analysis and Applications, 1978
openaire   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source