Results 31 to 40 of about 11,070 (191)
A Novel Approach to Elastodynamics: II. The Three-Dimensional Case [PDF]
, 2010 A new approach was recently introduced by the authors for constructing analytic solutions of the linear PDEs describing elastodynamics. Here, this approach is applied to the case of a homogeneous isotropic half-space body satisfying arbitrary initial ...
Fokas, A. S., Yang, D.
core
, 2012 In the present paper we extend the multiparameter coupling constant metamorphosis, also known as the generalized St\"ackel transform, from Hamiltonian dynamical systems to general finite-dimensional dynamical systems and ODEs. This transform interchanges
Sergyeyev, A.
core +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids (TiO2–water$$ {\mathrm{TiO}}_2\hbox{--} \mathrm{water} $$ and Cu–water$$ \mathrm{Cu}\hbox{--} \mathrm{water} $$) flow over a vertical moving permeable plate.
B. Prabhakar Reddy +2 more
wiley +1 more source
Biotechnology and Bioengineering, EarlyView.ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal +2 more
wiley +1 more source
Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach [PDF]
, 2010 A certain non-Noetherian connection between symmetry and integrability properties of nonlinear field equations in conservation-law form is studied.
Papachristou, C. J.
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Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials
, 2012 In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
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Catheterization and Cardiovascular Interventions, EarlyView.ABSTRACT Background Chronic thromboembolic pulmonary disease (CTEPD) leads to chronic total occlusions (CTOs) of the pulmonary arteries in a minority of patients. Treatment of CTOs with balloon pulmonary angioplasty (BPA) may substantially improve patient hemodynamics but presents unique technical challenges and has previously been associated with a ...
Elliot J. Stein +4 more
wiley +1 more source
, 2018 Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In particular, Lax pairs for $(1+1)$-dimensional PDEs can be interpreted as ZCRs.
Igonin, Sergei, Manno, Gianni
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Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
, 2019 Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored.
Tang, Tao +3 more
core +1 more source
Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
wiley +1 more source