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Dissertations / Theses on the topic 'Hyperbolic balance law'

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1

Dalal, Abdulsalam Elmabruk Daw. "Shadow Wave Solutions for Some Balance Law Systems." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2017. https://www.cris.uns.ac.rs/record.jsf?recordId=104976&source=NDLTD&language=en.

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In the first part, the pressureless gas dynamic system with source (body force) is examined and solved by using Shadow Waves. The source represents gravity and Shadow Wave solution (containing the delta function) shows acceleration (contrary to shocks, for example). In the second part, one will nd numerical calculations that conrms the above results.<br>Rad je posvecen analizi modela gasa bez pritiska uz dodatak izvora. Model je resen koriscenjem senka talasa. U ovom slucaju, izvor predstavlja uticaj gravitacije na cestice u modelu. Za razliku od udarnih talasa, talasi senke koje sadrze delta
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2

MARCELLINI, FRANCESCA. "Conservation laws in gas dynamics and traffic flow." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2009. http://hdl.handle.net/10281/7487.

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This PhD thesis is concerned with applications of nonlinear systems of conservation laws to gas dynamics and traffic flow modeling. The first part is devoted to the analytical description of a fluid flowing in a tube with varying cross section. We study the 2x2 model of the p-system and than, we extend the properties to the full 3x3 Euler system. We also consider a general nxn strictly hyperbolic system of balance laws; we study the Cauchy problem for this system and we apply this result to the fluid flow in a pipe wiyh varying section. Concerning traffic flow, we introduce a new macroscopic m
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3

Sen, Chhanda. "Entropy stable numerical schemes for hyperbolic balance laws." Thesis, IIT Delhi, 2019. http://eprint.iitd.ac.in:80//handle/2074/8135.

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4

Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Ehrt." Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V, 2010. http://d-nb.info/1042738963/34.

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5

Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Michael Ehrt." Berlin : Freie Universität Berlin, 2010. http://nbn-resolving.de/urn:nbn:de:kobv:188-fudissthesis000000015791-0.

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6

Weldegiyorgis, Gediyon Yemane. "Numerical stabilization with boundary controls for hyperbolic systems of balance laws." Diss., University of Pretoria, 2016. http://hdl.handle.net/2263/60870.

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In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is considered. Of particular interest is the numerical boundary stabilization of such systems. An analytical stability analysis of the system will be presented as a preamble. A discussion of the application of the analysis on speci c examples: telegrapher equations, isentropic Euler equations, Saint-Venant equations and Saint-Venant-Exner equations is also presented. The rst order explicit upwind scheme is applied for the spatial discretization. For the temporal discretization a splitting techniqu
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7

Mantri, Yogiraj Verfasser], Sebastian [Akademischer Betreuer] Noelle, and Michael [Akademischer Betreuer] [Herty. "Computing near-equilibrium solutions for hyperbolic balance laws on networks / Yogiraj Mantri ; Sebastian Noelle, Michael Herty." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1228433038/34.

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8

ROSSI, ELENA. "Balance Laws: Non Local Mixed Systems and IBVPs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/103090.

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Scalar hyperbolic balance laws in several space dimensions play a central role in this thesis. First, we deal with a new class of mixed parabolic-hyperbolic systems on all R^n: we obtain the basic well-posedness theorems, devise an ad hoc numerical algorithm, prove its convergence and investigate the qualitative properties of the solutions. The extension of these results to bounded domains requires a deep understanding of the initial boundary value problem (IBVP) for hyperbolic balance laws. The last part of the thesis provides rigorous estimates on the solution to this IBVP, under precise reg
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9

Gerster, Stephan [Verfasser], Michael [Akademischer Betreuer] Herty, Martin [Akademischer Betreuer] Frank, and Simone [Akademischer Betreuer] Göttlich. "Stabilization and uncertainty quantification for systems of hyperbolic balance laws / Stephan Gerster ; Michael Herty, Martin Frank, Simone Göttlich." Aachen : Universitätsbibliothek der RWTH Aachen, 2020. http://d-nb.info/1216638136/34.

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10

Schmitt, Johann Michael [Verfasser]. "Optimal Control of Initial-Boundary Value Problems for Hyperbolic Balance Laws with Switching Controls and State Constraints / Johann Michael Schmitt." München : Verlag Dr. Hut, 2019. http://d-nb.info/1188516450/34.

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11

Tang, Ying. "Stability analysis and Tikhonov approximation for linear singularly perturbed hyperbolic systems." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAT054/document.

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Les dynamiques des systèmes modélisés par des équations aux dérivées partielles (EDPs) en dimension infinie sont largement liées aux réseaux physiques. La synthèse de la commande et l'analyse de la stabilité de ces systèmes sont étudiées dans cette thèse. Les systèmes singulièrement perturbés, contenant des échelles de temps multiples sont naturels dans les systèmes physiques avec des petits paramètres parasitaires, généralement de petites constantes de temps, les masses, les inductances, les moments d'inertie. La théorie des perturbations singulières a été introduite pour le contrôle à la fin
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12

Ali, Qasim. "Contribution to the mathematical modeling of immune response." Phd thesis, Ecole Nationale Supérieure des Mines de Saint-Etienne, 2013. http://tel.archives-ouvertes.fr/tel-00905603.

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The early steps of activation are crucial in deciding the fate of T-cells leading to the proliferation. These steps strongly depend on the initial conditions, especially the avidity of the T-cell receptor for the specific ligand and the concentration of this ligand. The recognition induces a rapid decrease of membrane TCR-CD3 complexes inside the T-cell, then the up-regulation of CD25 and then CD25-IL2 binding which down-regulates into the T-cell. This process can be monitored by flow cytometry technique. We propose several models based on the level of complexity by using population balance mo
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13

Le, Minh Hoang. "Modélisation multi-échelle et simulation numérique de l’érosion des sols de la parcelle au bassin versant." Thesis, Orléans, 2012. http://www.theses.fr/2012ORLE2059/document.

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L’objectif global de ce travail est d’étudier une modélisation multi échelle et de développer une méthode adaptée pour la simulation numérique du processus d’érosion à l’échelle du bassin versant. Après avoir passé en revue les différents modèles existants, nous dérivons une solution analytique non triviale pour le système couplé modélisant le transport de sédiments par charriage. Ensuite, nous étudions l’hyperbolicité de ce système avec diverses lois de sédimentation proposées dans la littérature. Concernant le schéma numérique, nous présentons le domaine de validité de la méthode de splittin
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14

Meena, Asha Kumari. "Robust numerical schemes for hyperbolic balance laws." Thesis, 2018. http://localhost:8080/xmlui/handle/12345678/7566.

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15

Chang, Chia-Hung, and 張嘉宏. "An Iteration Method for the Riemann Problem of Some Degenerate Hyperbolic Balance Laws." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/a2f8ep.

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碩士<br>國立中央大學<br>數學系<br>101<br>In this thesis, we consider a 2 × 2 degenerate hyperbolic system of conservation laws whose second equation does not have the term related to the time-derivative of unknowns. The Riemann problem of such conservation laws is studied. We introduce an iteration scheme to construct the weak solutions of the Riemann problem. The weak solutions are obtained based on the characteristic method, Rankine-Hugoniot condition for discontinuous solutions and the iteration to the elementary waves for homogeneous systems.
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16

Chou, Shih-Wei, and 周世偉. "Global Existence and Time Asymptotic Stability of Solutions to Nonlinear Hyperbolic Systems of Balance Laws." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/17462722550360119327.

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博士<br>國立中央大學<br>數學系<br>101<br>We study the Cauchy problem for general nonlinear hyperbolic balance laws assuming time-oscillating fluxes and sources. Such nonlinear balance laws arise in, for instance, the nozzle flows of gas dynamics with time periodic ducts, traffic models incorporating lane changing effects model and shallow water equations with time-dependent river’s bottom. The global existence of weak solutions is established by a new version of the generalized Glimm method which incorporates asymptotic expansions of the fluxes and sources. We prove existence of weak solutions and demons
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