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Dissertations / Theses on the topic 'Weakly nonlinear analysi'

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Published: 14 March 2023
Last updated: 31 July 2025

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1

BERTAGNI, MATTEO BERNARD. "Linear and weakly nonlinear analyses on morphological instabilities." Doctoral thesis, Politecnico di Torino, 2019. http://hdl.handle.net/11583/2731657.

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2

Lira, Sérgio Henrique Albuquerque. "Viscous Fingering In Complex Magnetic Fluids: Weakly Nonlinear Analysis, Stationary Solutions And Phase-field Models." Universidade Federal de Pernambuco, 2014. https://repositorio.ufpe.br/handle/123456789/12734.

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Submitted by Daniella Sodre (daniella.sodre@ufpe.br) on 2015-04-08T13:19:43Z No. of bitstreams: 2 TESE Sérgio Henrique Lira.pdf: 10473188 bytes, checksum: ad39baf570ad4b641f94987468e9d1d0 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5)<br>Made available in DSpace on 2015-04-08T13:19:43Z (GMT). No. of bitstreams: 2 TESE Sérgio Henrique Lira.pdf: 10473188 bytes, checksum: ad39baf570ad4b641f94987468e9d1d0 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Previous issue date: 2014-02-21<br>CNPq; INCT-FCx.<br>Nesta Tese são empregada
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3

Aberle, Marcus. "The nonlinear analysis of shear-weak gridshells." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621337.

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4

Chen, Kewang. "Mathematical Analysis of Some Partial Differential Equations with Applications." ScholarWorks @ UVM, 2019. https://scholarworks.uvm.edu/graddis/1053.

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In the first part of this dissertation, we produce and study a generalized mathematical model of solid combustion. Our generalized model encompasses two special cases from the literature: a case of negligible heat diffusion in the product, for example, when the burnt product is a foam-like substance; and another case in which diffusivities in the reactant and product are assumed equal. In addition to that, our model pinpoints the dynamics in a range of settings, in which the diffusivity ratio between the burned and unburned materials varies between 0 and 1. The dynamics of temperature distribu
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5

LUPO, Salvatore. "FORMAZIONE DI PATTERN PER IL PROCESSO DELL'ELETTRODEPOSIZIONE IN MODELLI DI TIPO REAZIONE-DIFFUSIONE." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90863.

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6

Moulin, Johann. "On the flutter bifurcation in laminar flows : linear and nonlinear modal methods." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX093.

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L'instabilité de flottement a été le sujet de nombreuses études depuis le milieu du vingtième siècle à cause de ses applications critiques en aéronautique. Elle est classiquement décrite comme un instabilité linéaire en écoulement potentiel, mais les effets visqueux et nonlinéaires du fluide peuvent avoir un impact crucial.La première partie de cette thèse est consacrée au développement de méthodes théoriques et numériques pour l'analyse linéaire et nonlinéaire de la dynamique d'une ``section typique aéroélastique'' --- une plaque montée sur des ressorts de flexion et torsion --- plongée dans
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7

Chekila, Abdelfateh. "Analyse non linéaire de la stabilité de l'écoulement de Poiseuille plan d'un fluide rhéofluidifiant." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0022/document.

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L'objectif de cette thèse est d'analyser l'influence des non linéarités, du comportement rhéologique des fluides rhéofluidifiants, sur les conditions de stabilité et de transition vers la turbulence. Dans un premier temps, une analyse linéaire de stabilité avec une approche modale a été réalisée. Les résultats obtenus mettent clairement en évidence l'effet stabilisant de la rhéofluidification. Ensuite, une analyse faiblement non linéaire de stabilité a été menée en vue d'examiner l'influence de la perturbation de la viscosité sur la stabilité vis à vis de perturbations d'amplitude finie. L'ana
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8

GRIFO', Gabriele. "Pattern formation in hyperbolic reaction-transport systems and applications to dryland ecology." Doctoral thesis, Università degli Studi di Palermo, 2023. https://hdl.handle.net/10447/580054.

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Pattern formation and modulation is an active branch of mathematics, not only from the perspective of fundamental theory but also for its huge applications in many fields of physics, ecology, chemistry, biology, and other sciences. In this thesis, the occurrence of Turing and wave instabilities, giving rise to stationary and oscillatory patterns, respectively, is theoretically investigated by means of two-compartment reaction-transport hyperbolic systems. The goal is to elucidate the role of inertial times, which are introduced in hyperbolic models to account for the finite-time propagation of
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9

Abatangelo, N. "Large Solutions for Fractional Laplacian Operators." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/320258.

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The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacians. The boundary data can be smooth functions or also Radon measures. The goal is to classify the solutions which have a singularity on the boundary of the prescribed domain. We first remark the existence of a large class of harmonic functions with a boundary blow-up and we characterize them in terms of a new notion of degenerate boundary trace. Via some integration by parts formula, we then provide a weak theory of Stampacchia's sort to extend the linear theory to a setting including these funct
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10

Filippini, Andrea Gilberto. "Free surface flow simulation in estuarine and coastal environments : numerical development and application on unstructured meshes." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0404/document.

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Over the last decades, there has been considerable attention in the accurate mathematical modeling and numerical simulations of free surface wave propagation in near-shore environments. A physical correct description of the large scale phenomena, which take place in the shallow water region, must account for strong nonlinear and dispersive effects, along with the interaction with complex topographies. First, a study on the behavior in nonlinear regime of different Boussinesq-type models is proposed, showing the advantage of using fully-nonlinear models with respect to weakly-nonlinear and weak
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11

Ricchiuti, Amelia Lavinia. "Design and fabrication of customized fiber gratings to improve the interrogation of optical fiber sensors." Doctoral thesis, Universitat Politècnica de València, 2016. http://hdl.handle.net/10251/66343.

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[EN] Fiber grating sensors and devices have demonstrated outstanding capabilities in both telecommunications and sensing areas, due to their well-known advantageous characteristics. Therefore, one of the most important motivations lies in the potential of customized fiber gratings to be suitably employed for improving the interrogation process of optical fiber sensors and systems. This Ph.D. dissertation is focused on the study, design, fabrication and performance evaluation of customized fiber Bragg gratings (FBGs) and long period gratings (LPGs) with the double aim to present novel sensing
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12

Sangeeta, K. "Numerical Simulation Of Converging Nonlinear Wavefronts." Thesis, 1996. https://etd.iisc.ac.in/handle/2005/1901.

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13

Sangeeta, K. "Numerical Simulation Of Converging Nonlinear Wavefronts." Thesis, 1996. http://etd.iisc.ernet.in/handle/2005/1901.

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14

De, Giorgio Elisa, Vincenzo Carbone, Pierluigi Veltri, and Raffaele Marino. "Mathematical analysis of experimental data and the existence of weak solutions in nonlinear equations." Thesis, 2018. http://hdl.handle.net/10955/1857.

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Dottorato di Ricerca in Scienze e Tecnologie Fisiche, Chimiche e dei Materiali. Ciclo XXX<br>The local emergency of Beltrami ows is a fundamental characteristic of the uid turbulence dynamics (Navier-Stokes equations), where the formation of singularities starting from smooth initial data, i.e. the breakdown of regularity in the solutions, can individuate the onset of the turbulent behaviour. This property of nonlinear interactions has been used as a basic ingredient in the formal proof of Onsager conjecture, about the existence of weak solutions of Euler equations which do not conserv
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15

Levere, Kimberly Mary. "A Collage-Based Approach to Inverse Problems for Nonlinear Systems of Partial Differential Equations." Thesis, 2012. http://hdl.handle.net/10214/3475.

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Inverse problems occur in a wide variety of applications and are an active area of research in many disciplines. We consider inverse problems for a broad class of nonlinear systems of partial differential equations (PDEs). We develop collage-based approaches for solving inverse problems for nonlinear PDEs of elliptic, parabolic and hyperbolic type. The original collage method for solving inverse problems was developed in [29] with broad application, in particular to ordinary differential equations (ODEs). Using a consequence of Banach’s fixed point theorem, the collage theorem, one can bound the
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16

CLEMENTE, FRANCESCO. "On some nonlinear elliptic Dirichlet problems with lower order terms." Doctoral thesis, 2020. http://hdl.handle.net/11573/1360409.

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This Ph.D. Thesis is devoted to boundary value problems associated to some classes of second order nonlinear elliptic PDEs in bounded open subsets of R^N. More precisely, we consider, first, two classes of noncoercive Dirichlet problems and we study the regularizing effect of a lower order term of power type on the summability properties of solutions. Then, for one class, we investigate the asymptotic behaviour of solutions as the power goes to infinity, while, for the other, we analyse local properties of solutions depending on local properties of data (with and without the lower order term o
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17

Saha, Nilanjan. "Methods For Forward And Inverse Problems In Nonlinear And Stochastic Structural Dynamics." Thesis, 2007. https://etd.iisc.ac.in/handle/2005/608.

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A main thrust of this thesis is to develop and explore linearization-based numeric-analytic integration techniques in the context of stochastically driven nonlinear oscillators of relevance in structural dynamics. Unfortunately, unlike the case of deterministic oscillators, available numerical or numeric-analytic integration schemes for stochastically driven oscillators, often modelled through stochastic differential equations (SDE-s), have significantly poorer numerical accuracy. These schemes are generally derived through stochastic Taylor expansions and the limited accuracy results from dif
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18

Saha, Nilanjan. "Methods For Forward And Inverse Problems In Nonlinear And Stochastic Structural Dynamics." Thesis, 2007. http://hdl.handle.net/2005/608.

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A main thrust of this thesis is to develop and explore linearization-based numeric-analytic integration techniques in the context of stochastically driven nonlinear oscillators of relevance in structural dynamics. Unfortunately, unlike the case of deterministic oscillators, available numerical or numeric-analytic integration schemes for stochastically driven oscillators, often modelled through stochastic differential equations (SDE-s), have significantly poorer numerical accuracy. These schemes are generally derived through stochastic Taylor expansions and the limited accuracy results from dif
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19

Kulvait, Vojtěch. "Matematická analýza a počítačové simulace deformace nelineárních elastických materiálů v oblasti malých deformací." Doctoral thesis, 2017. http://www.nusl.cz/ntk/nusl-367705.

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Title: Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range. Author: Vojtěch Kulvait Department: Mathematical Institute of Charles University Supervisor: prof. RNDr. Josef Málek, CSc., Dsc. Abstract: Implicit constitutive theory provides a suitable theoretical framework for elastic materials that exhibit a nonlinear relationship between strain and stress in the range of small strains. We study a class of power-law models, where the nonlinear dependence of strain on the deviatoric part of the stress tensor and its trace are mutually
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