Relevant bibliographies by topics / Initial-boundary value problem for balance laws

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Initial-boundary value problem for balance laws'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Initial-boundary value problem for balance laws"

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Gugat, Martin, and Stefan Ulbrich. "Lipschitz solutions of initial boundary value problems for balance laws." Mathematical Models and Methods in Applied Sciences 28, no. 05 (2018): 921–51. http://dx.doi.org/10.1142/s0218202518500240.

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The flow of gas through networks of pipes can be modeled by the isothermal Euler equations and algebraic node conditions that model the flow through the vertices of the network graph. This motivates our analysis of the well-posedness of a coupled system of [Formula: see text] conservation laws on a network. We consider initial data and control functions that are Lipschitz continuous and compatible with the node and boundary conditions. We show the existence of semi-global Lipschitz continuous solutions of the initial boundary value problem on a network. The construction of the solution is base
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Chou, Shih-Wei, John M. Hong, and Ying-Chin Su. "The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws." Nonlinear Analysis: Theory, Methods & Applications 75, no. 15 (2012): 5933–60. http://dx.doi.org/10.1016/j.na.2012.06.006.

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Hong, John M., and Ying-Chin Su. "Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws." Nonlinear Analysis: Theory, Methods & Applications 72, no. 2 (2010): 635–50. http://dx.doi.org/10.1016/j.na.2009.07.003.

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Rossi, Elena. "Well-posedness of general 1D initial boundary value problems for scalar balance laws." Discrete & Continuous Dynamical Systems - A 39, no. 6 (2019): 3577–608. http://dx.doi.org/10.3934/dcds.2019147.

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Rossi, Elena. "Definitions of solutions to the IBVP for multi-dimensional scalar balance laws." Journal of Hyperbolic Differential Equations 15, no. 02 (2018): 349–74. http://dx.doi.org/10.1142/s0219891618500133.

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We consider four definitions of solution to the initial-boundary value problem (IBVP) for a scalar balance laws in several space dimensions. These definitions are extended to the same most general framework and then compared. The first aim of this paper is to detail differences and analogies among them. We focus then on the ways the boundary conditions are fulfilled according to each definition, providing also connections among these various modes. The main result is the proof of the equivalence among the presented definitions of solution.
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Li, Huicong, and Kun Zhao. "Initial–boundary value problems for a system of hyperbolic balance laws arising from chemotaxis." Journal of Differential Equations 258, no. 2 (2015): 302–38. http://dx.doi.org/10.1016/j.jde.2014.09.014.

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Galeş, C. "A Mixture Theory for Micropolar Thermoelastic Solids." Mathematical Problems in Engineering 2007 (2007): 1–21. http://dx.doi.org/10.1155/2007/90672.

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We derive a nonlinear theory of heat-conducting micropolar mixtures in Lagrangian description. The kinematics, balance laws, and constitutive equations are examined and utilized to develop a nonlinear theory for binary mixtures of micropolar thermoelastic solids. The initial boundary value problem is formulated. Then, the theory is linearized and a uniqueness result is established.
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Feng, Zefu. "Initial and Boundary Value Problem for a System of Balance Laws from Chemotaxis: Global Dynamics and Diffusivity Limit." Annals of Applied Mathematics 37, no. 1 (2021): 61–110. http://dx.doi.org/10.4208/aam.oa-2020-0004.

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Passarella, Francesca, and Vincenzo Tibullo. "Uniqueness of Solutions in Thermopiezoelectricity of Nonsimple Materials." Entropy 24, no. 9 (2022): 1229. http://dx.doi.org/10.3390/e24091229.

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This article presents the theory of thermopiezoelectricity in which the second displacement gradient and the second electric potential gradient are included in the set of independent constitutive variables. This is achieved by using the entropy production inequality proposed by Green and Laws. At first, appropriate thermodynamic restrictions and constitutive equations are obtained, using the well-established Coleman and Noll procedure. Then, the balance equations and the constitutive equations of linear theory are derived, and the mixed initial-boundary value problem is set. For this problem a
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Hong, John Meng-Kai, and Reyna Marsya Quita. "Approximation of generalized Riemann solutions to compressible Euler-Poisson equations of isothermal flows in spherically symmetric space-times." Tamkang Journal of Mathematics 48, no. 1 (2017): 73–94. http://dx.doi.org/10.5556/j.tkjm.48.2017.2274.

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In this paper, we consider the compressible Euler-Poisson system in spherically symmetric space-times. This system, which describes the conservation of mass and momentum of physical quantity with attracting gravitational potential, can be written as a $3\times 3$ mixed-system of partial differential systems or a $2\times 2$ hyperbolic system of balance laws with $global$ source. We show that, by the equation for the conservation of mass, Euler-Poisson equations can be transformed into a standard $3\times 3$ hyperbolic system of balance laws with $local$ source. The generalized approximate solu
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Dissertations / Theses on the topic "Initial-boundary value problem for balance laws"

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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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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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Book chapters on the topic "Initial-boundary value problem for balance laws"

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Nolte, M., and D. Kröner. "Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D." In Hyperbolic Problems: Theory, Numerics, Applications. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_81.

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Гончарова, Аліна В’ячеславівна. "Глава 8. Договори між спадкоємцями щодо розподілу спадщини". У Серія «Процесуальні науки». Видавництво "Алерта", 2023. http://dx.doi.org/10.59835/978-617-566-765-1-3-8.

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The conclusion of contracts was known in ancient times and is still relevant today. Shares that are not distributed in kind can cause certain difficulties that force the interested parties to decide on distribution.Joint ownership of inherited property received from a family member necessitates joint decision-making on its maintenance, ownership, use, and disposal, and it is difficult to achieve such a consensus on all issues. Therefore, quite often a certain period may pass from the acquisition of the right to a share in the joint property to its distribution, but due to conflicts regarding t
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Anand, Lallit, and Sanjay Govindjee. "Variational formulation of boundary-value problems." In Continuum Mechanics of Solids. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0010.

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This chapter discusses a variational formulation of boundary value problems in small deformation solid mechanics. It begins by introducing the important principle of virtual power, and shows that it encapsulates Cauchy’s traction law, and the local form of the basic balance of forces (equation of equilibrium), and the local from of the balance of moments (symmetry of the stress). Since the principle of virtual power encapsulates both the equation of equilibrium and the Cauchy relation for tractions, it can be used to formulate and solve boundary-value problems in solid mechanics in a variation
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Heidarzadeh, Mohammad, Theodosios K. Papathanasiou, Yurui Fan, and Hamid Bahai. "Mathematical Modelling." In A Practical Approach to Advanced Mathematical Modelling in Civil Engineering. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780191888656.003.0001.

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Abstract Chapter 1 serves as an introductory guide to the process of developing mathematical models for civil engineering problems, employing real-world numerical examples to illustrate key concepts. The chapter outlines a systematic approach consisting of seven steps: problem formulation (step 1), outlining the problem and conceptualization (step 2), assumptions (step 3), parametrization and variables (step 4), deriving the equations (step 5), simulation and analysis (step 6), and testing and validation (step 7). Integral to this process is an understanding of conservation principles, constit
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Conference papers on the topic "Initial-boundary value problem for balance laws"

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Pournazeri, Mohammad, Amir Fazeli, and Amir Khajepour. "A Robust Lift Control Technique in Electro-Hydraulic Camless Valves Using System Average Model." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38691.

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In electro-hydraulic camless valvetrains, both valve timing and lift are simultaneously controlled through precise control of solenoid actuated servo-valves at each cycle. In fact, the desired maximum lift is obtained by accurate controlling of the servo-valve opening interval. However, at high engine speeds, due to the slow servo-valve response time, concurrent control of both timing and peak lift becomes more difficult and sometimes impossible. In this paper a new valve lift control technique is proposed based on the average model of the mechanism introduced in [1]. Using this method, it is
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Machado, Margarida, and Paulo Flores. "A Novel Continuous Contact Force Model for Multibody Dynamics." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47086.

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A general and comprehensive analysis on the continuous contact force models in multibody dynamics is presented and a novel contact force model is proposed. The force models are developed based on the foundation of the Hertz law together with a hysteresis damping parameter that accounts for the energy dissipation during the contact process. In a simple way, these contact force models are based on the analysis and development of three main issues: (i) the dissipated energy associated with the coefficient of restitution that includes the balance of kinetic energy and the conservation of the linea
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Journal articles
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