Solutions for Some Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 1
Axioms, 2023 This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian.
Irina Meghea
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Axioms, 2023 This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may
Irina Meghea
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Application of a Variant of Mountain Pass Theorem in Modeling Real Phenomena
Mathematics, 2022 Mountain Pass Theorem (MPT) is an important result in variational methods with multiple applications in partial differential equations involved in mathematical physics. Starting from a variant of MPT, a new result concerning the existence of the solution
Irina Meghea
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On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena
MathematicsThis work presents a solving method for problems of Ambrosetti-Prodi type involving p-Laplacian and p-pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition,
Irina Meghea
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Modeling some real phenomena by fractional differential equations [PDF]
Mathematical Methods in the Applied Sciences, 2015 This paper deals with fractional differential equations with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experimental data from several experiments, that fractional differential ...
R. Almeida +2 more
semanticscholar +6 more sources
Analyzing and modeling real-world phenomena with complex networks: a survey of applications [PDF]
Advances in Physics, 2007 The success of new scientific areas can be assessed by their potential in contributing to new theoretical approaches and in applications to real-world problems.
L. D. Costa +7 more
semanticscholar +4 more sources
A Surrogate Modeling and Adaptive Sampling Toolbox for Computer Based Design [PDF]
Journal of machine learning research, 2010 An exceedingly large number of scientific and engineering fields are confronted with the need for computer simulations to study complex, real world phenomena or solve challenging design problems.
D. Gorissen +4 more
semanticscholar +3 more sources
Editorial: Mathematical modeling and optimization for real life phenomena
Frontiers in Applied Mathematics and StatisticsCristiana J. Silva +2 more
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Instantaneous and time-averaged intensity flow measurements in scale models [PDF]
JASA Express Letters, 2023 Current methods of representing energy flows in rooms have been limited to stationary pressure contour maps or intensity vectors derived from finite-element modeling (FEM) software.
Daniel Tay, Ning Xiang
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Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and make decision
Kevin Linka +5 more
semanticscholar +1 more source