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1997, AD-a344 449.

This project concerns properties of wave propagation in partial differential equations that are nonlinear and of hyperbolic type...

elastoplasticity | shear stresses | soil dynamics | mathematical models | granular materials | partial differential equations | shock waves

elastoplasticity | shear stresses | soil dynamics | mathematical models | granular materials | partial differential equations | shock waves

Government Document

2.
MULTI-DIMENSIONAL HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS: FIRST-ORDER SYSTEMS AND APPLICATIONS

2007, OXFORD MATHEMATICAL MONOGRAPHS., ISBN 9780199211234, Volume 9780199211234, 535

This book presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful...

Applied Mathematics | Linear problem | Shock waves | Nonlinear problem | Cauchy problem

Applied Mathematics | Linear problem | Shock waves | Nonlinear problem | Cauchy problem

Book

3.
Multidimensional hyperbolic partial differential equations

: first-order systems and applications

2007, Oxford mathematical monographs, ISBN 9780199211234, xxv, 508

Book

Dissertation

Journal of evolution equations, ISSN 1424-3199, 3/2019, Volume 19, Issue 1, pp. 91 - 109

We consider the well-posedness of a class of hyperbolic partial differential equations on a one-dimensional spatial domain...

47D06 | 35L40 | C_0$$ C 0 -semigroups | Hyperbolic partial differential equations | Analysis | Port-Hamiltonian differential equations | Mathematics | 35L25 | Networks of partial differential equations | Contraction semigroup | 37K99 | C-semigroups | Physical Sciences | Mathematics, Applied | Science & Technology | Differential equations | Partial differential equations | Well posed problems | Mathematical analysis

47D06 | 35L40 | C_0$$ C 0 -semigroups | Hyperbolic partial differential equations | Analysis | Port-Hamiltonian differential equations | Mathematics | 35L25 | Networks of partial differential equations | Contraction semigroup | 37K99 | C-semigroups | Physical Sciences | Mathematics, Applied | Science & Technology | Differential equations | Partial differential equations | Well posed problems | Mathematical analysis

Journal Article

Archives of control sciences, ISSN 1230-2384, 03/2017, Volume 27, Issue 1, pp. 63 - 76

The adaptive boundary stabilization is investigated for a class of systems described by second-order hyperbolic PDEs with unknown coefficient...

adaptive control | boundary control | hyperbolic partial differential equation | drilling systems | wave equation | Wave equation | Boundary control | Drilling systems | Hyperbolic partial differential equation | Adaptive control | Automation & Control Systems | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Boundaries | Partial differential equations | Time delay systems | Hyperbolic differential equations

adaptive control | boundary control | hyperbolic partial differential equation | drilling systems | wave equation | Wave equation | Boundary control | Drilling systems | Hyperbolic partial differential equation | Adaptive control | Automation & Control Systems | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Boundaries | Partial differential equations | Time delay systems | Hyperbolic differential equations

Journal Article

Neurocomputing (Amsterdam), ISSN 0925-2312, 09/2015, Volume 164, pp. 56 - 70

...; these systems are modeled by second-order one-dimensional hyperbolic partial differential equations (hPDEs...

Method of lines | Distributed parameters control systems | Overhead crane | Hyperbolic partial differential equations | Cellular neural networks | Control Lyapunov functionals | Control lyapunov functionals | Control engineering | Neural networks | Analysis | Differential equations | Control systems | Models | Standards

Method of lines | Distributed parameters control systems | Overhead crane | Hyperbolic partial differential equations | Cellular neural networks | Control Lyapunov functionals | Control lyapunov functionals | Control engineering | Neural networks | Analysis | Differential equations | Control systems | Models | Standards

Journal Article

Journal of computational physics, ISSN 0021-9991, 10/2018, Volume 371, pp. 483 - 505

In the strong scaling limit, the performance of conventional spatial domain decomposition techniques for the parallel solution of PDEs saturates. When...

PDE | Shallow water equations | Parareal | Tsunami simulation | Hyperbolic | Parallel-in-time | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Tsunamis | Algorithms | Differential equations | Adaptive systems | Partial differential equations | Wave equations | Domain decomposition methods | Decomposition | Shallow water | Convection | Convergence | Water waves | Communications systems | Simulation | Mathematical analysis | Energy dissipation | Scaling | Hyperbolic systems | Riemann solver

PDE | Shallow water equations | Parareal | Tsunami simulation | Hyperbolic | Parallel-in-time | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Tsunamis | Algorithms | Differential equations | Adaptive systems | Partial differential equations | Wave equations | Domain decomposition methods | Decomposition | Shallow water | Convection | Convergence | Water waves | Communications systems | Simulation | Mathematical analysis | Energy dissipation | Scaling | Hyperbolic systems | Riemann solver

Journal Article

IEEE transactions on automatic control, ISSN 0018-9286, 09/2017, Volume 62, Issue 9, pp. 4527 - 4536

The paper deals with the control and regulation by integral controllers for the nonlinear systems governed by scalar quasi-linear hyperbolic partial differential equations...

Partial differential equations | Iron | Topology | exponential stability | Asymptotic stability | proportional and integral (PI) controller | Boundary control | Closed loop systems | Mathematical model | Nonlinear systems | hyperbolic system | numerical simulation | Lyapunov function | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Nonlinear theories | Usage | Mathematical models | Research | Integral equations | Mathematics | Optimization and Control | Engineering Sciences | Analysis of PDEs | Automatic

Partial differential equations | Iron | Topology | exponential stability | Asymptotic stability | proportional and integral (PI) controller | Boundary control | Closed loop systems | Mathematical model | Nonlinear systems | hyperbolic system | numerical simulation | Lyapunov function | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Nonlinear theories | Usage | Mathematical models | Research | Integral equations | Mathematics | Optimization and Control | Engineering Sciences | Analysis of PDEs | Automatic

Journal Article

Computers & fluids, ISSN 0045-7930, 10/2020, Volume 210, p. 104675

... for an arbitrary non-conservative hyperbolic system of partial differential equations. The method is based on the reconstruction of the complete wave structure in the Riemann problem with using the Borel measures interpretation (path-representation...

Prandtl-Reuss elastoplasticity | Non-conservative hyperbolic systems | Path-conservative based methods | Euler equations | Riemann problem | Baer-Nunziato equations | Mechanics | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Compressibility | Equations of state | Approximation | Partial differential equations | Mathematical analysis | Eigenvalues | Eigenvectors | Euler-Lagrange equation | Two phase | Hyperbolic systems

Prandtl-Reuss elastoplasticity | Non-conservative hyperbolic systems | Path-conservative based methods | Euler equations | Riemann problem | Baer-Nunziato equations | Mechanics | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Compressibility | Equations of state | Approximation | Partial differential equations | Mathematical analysis | Eigenvalues | Eigenvectors | Euler-Lagrange equation | Two phase | Hyperbolic systems

Journal Article

01/1997

This project concerns properties of wave propagation in partial differential equations that are nonlinear and of hyperbolic type...

Book Chapter

Computers & mathematics with applications (1987), ISSN 0898-1221, 1983, Volume 9, Issue 3, pp. 447 - 457

We investigate the problem of including stochastically varying components in the Von Foerster hyperbolic partial differential equation system...

Journal Article

International journal of computer mathematics, ISSN 0020-7160, 01/2015, Volume 92, Issue 1, pp. 77 - 100

This paper concerns the non-fragile guaranteed cost control for nonlinear first-order hyperbolic partial differential equations (PDEs...

parameter uncertainties | non-fragile guaranteed cost control | T-S fuzzy hyperbolic PDE system | asymptotically stable | linear matrix inequalities | T–S fuzzy hyperbolic PDE system | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fuzzy logic | Partial differential equations | Mathematical models | Mathematical functions | Nonlinear systems | Asymptotic methods | Cost control

parameter uncertainties | non-fragile guaranteed cost control | T-S fuzzy hyperbolic PDE system | asymptotically stable | linear matrix inequalities | T–S fuzzy hyperbolic PDE system | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fuzzy logic | Partial differential equations | Mathematical models | Mathematical functions | Nonlinear systems | Asymptotic methods | Cost control

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 7/2010, Volume 362, Issue 7, pp. 3535 - 3561

....) This system of coupled PDEs comprises the parabolic Stokes equations and the hyperbolic Lamé...

Boundary value problems | Mathematical theorems | Partial differential equations | Uniqueness | Semigroups | Boundary conditions | Coefficients | Property lines | Elastic systems | Physical Sciences | Mathematics | Science & Technology

Boundary value problems | Mathematical theorems | Partial differential equations | Uniqueness | Semigroups | Boundary conditions | Coefficients | Property lines | Elastic systems | Physical Sciences | Mathematics | Science & Technology

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 09/2004, Volume 204, Issue 1, pp. 163 - 201

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 09/2004, Volume 204, Issue 1, pp. 163 - 201

...–parabolic systems of partial differential equations in one space dimension with initial data that is assumed to be pointwise bounded with possibly large oscillation and with small total energy...

Compressible magnetohydrodynamics | Compressible Navier–Stokes equations | Systems of mixed hyperbolic–parabolic type | Systems of mixed hyperbolic-parabolic type | Compressible Navier-Stokes equations | Physical Sciences | Mathematics | Science & Technology

Compressible magnetohydrodynamics | Compressible Navier–Stokes equations | Systems of mixed hyperbolic–parabolic type | Systems of mixed hyperbolic-parabolic type | Compressible Navier-Stokes equations | Physical Sciences | Mathematics | Science & Technology

Journal Article

Nonlinear analysis, ISSN 0362-546X, 2008, Volume 69, Issue 5, pp. 1768 - 1774

We introduced a hyperbolic linear system of partial differential equations with nonlinear boundary conditions, and proved strictly that it is chaotic under some simple assumptions...

Chaos | Chaotifing | Hyperbolic linear system | Partial differential equation | Nonlinear boundary reflection | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Differential equations

Chaos | Chaotifing | Hyperbolic linear system | Partial differential equation | Nonlinear boundary reflection | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Differential equations

Journal Article

International journal of control, automation, and systems, ISSN 2005-4092, 09/2018, Volume 16, Issue 5, pp. 2177 - 2186

.... The moving web is modeled as an axially moving beam system governed by hyperbolic partial differential equations (PDEs...

roll-to-roll system | Engineering | velocity tracking | Control, Robotics, Mechatronics | Adaptive boundary control | Lyapunov method | axially moving beam | hyperbolic partial differential equation | Technology | Automation & Control Systems | Science & Technology | Analysis | Numerical analysis | Differential equations | Partial differential equations | Multivariable control | Computer simulation | Control systems | Velocity distribution | Rotation | Adaptive control | Robustness (mathematics) | Mathematical analysis | Webs | Rewinding | Mathematical models | Active control | 제어계측공학

roll-to-roll system | Engineering | velocity tracking | Control, Robotics, Mechatronics | Adaptive boundary control | Lyapunov method | axially moving beam | hyperbolic partial differential equation | Technology | Automation & Control Systems | Science & Technology | Analysis | Numerical analysis | Differential equations | Partial differential equations | Multivariable control | Computer simulation | Control systems | Velocity distribution | Rotation | Adaptive control | Robustness (mathematics) | Mathematical analysis | Webs | Rewinding | Mathematical models | Active control | 제어계측공학

Journal Article

AKADEMIIA NAUK SSSR, IZVESTIIA, TEKHNICHESKAIA KIBERNETIKA, 01/1969, pp. 158 - 167

Journal Article

Annali di matematica pura ed applicata, ISSN 0373-3114, 12/1990, Volume 156, Issue 1, pp. 211 - 230

Journal Article

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