Steady Vortex Sheets in Presence of Surface Tension. [PDF]
J Math Fluid MechMurgante F, Roulley E, Scrobogna S.
europepmc +1 more source
Toward Robust Optimal Control of Chromatographic Separation Processes With Controlled Flow Reversal
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT Column liquid chromatography is an important technique applied in the production of biopharmaceuticals, specifically for the separation of biological macromolecules such as proteins. When setting up process conditions, it is crucial that the purity of the product is sufficiently high, even in the presence of perturbations in the process ...
Dominik H. Cebulla +2 more
wiley +1 more source
Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
Sci RepKhalid M, Khalid NA, Ceesay B, Ahmed N.
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Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte +1 more
wiley +1 more source
Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
J Math BiolSpiliotis K +3 more
europepmc +1 more source
Breaking Physiological Barriers in Women's Health: Mucoadhesive and Stimuli‐Responsive Nanomaterials
WIREs Nanomedicine and Nanobiotechnology, Volume 18, Issue 5, September/October 2026.Drug delivery vehicles generated from biomaterials for women's health. In particular, the breast and the reproductive system, including the ovary, uterus, cervix, vagina, and the surrounding tissues, targeted drug delivery. BioRender. ABSTRACT Biomaterials are natural or synthetic molecules that exhibit biocompatibility, biodegradability, or ...
Maddox Parsons +4 more
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Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]
Sci RepJawarneh Y +3 more
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Hamiltonian PDEs: new connections between dynamical systems and PDEs with small divisors phenomena
, 2008 Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltonian systems. Main examples are the nonlinear wave equation, the nonlinear Schrödinger equation, the beam, the membrane and the Kirkhoff equations in ...
BERTI, MASSIMILIANO
core
NORi: An ML‐Augmented Ocean Boundary Layer Parameterization
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.Abstract NORi is a machine learning (ML) parameterization of ocean boundary layer (BL) turbulence that is physics‐based and augmented with neural networks. NORi stands for neural ordinary differential equations Richardson number (Ri) closure. The physical parameterization is controlled by a Richardson number‐dependent diffusivity and viscosity.
Xin Kai Lee +6 more
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Water Resources Research, Volume 62, Issue 9, September 2026.Abstract The injection of CO2 into geological reservoirs can acidify the reservoir environment, leading to the dissolution of mineral grains and increasing the risk of CO2 leakage. A deeper understanding of these micro‐scale dissolution mechanisms is therefore essential for the safety of geological CO2 sequestration.
Zhi‐Jun Wu +5 more
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