A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Global Exact Boundary Controllability of a Class of Quasilinear Hyperbolic Systems of Conservation Laws II

2005
*
SIAM Journal of Control and Optimization
*

AE
É ½
É ¾
É

doi:10.1137/s0363012903432651
fatcat:364tsifjznen7pyqik7vvjezfa
*ª*½*ª*¾*ª**ª*É ¿ É*ª**ª*¿*ª*È*ª*½¼ È ½ È È ¾ È ¿*ª*Ç*ª*ÙÖ ½ ÓÑ Ò×*ª*´ ½ ¡ ¡ ¡ ½¼µ Ö Ø Ö ×Ø × ½´Ø µ È ½ È Ü ½´Ø µ ÇÈ ¾ Ü ¾´Ø µ È ¾ È ¿ Ü ¾´Ø µ ... µ Ö*Å*× Ú Ò Ý*Å*Ñ Ü Þ ¼ Ì ½ ¾¨ Ê ´Ù Þ´Ü µ Ú Þ´Ü µ ¼´ ½ ¼ µ Ê ´Ù · Þ´Ü µ Ú · Þ´Ü µ ¼´ ¼ ½ µ © ´½º½ µ Ê Ñ Ö*ª*½ Ò ÐÓ× Ý Ø Ö Ø Ö ×Ø × Ü Ü ½´Ø µ Ü Ü ¾´Ø µ Ò Ø Ü¹ Ü ×*ª*½ ´Ø Üµ ¼ Ø Ø Ô Ü ¾´Ø µ Ü Ü ½´Ø µ ´¾º ...##
###
Modeling, Control and Numerics of Gas Networks
[article]

2020
*
arXiv
*
pre-print

In this article we survey recent progress on mathematical results on gas flow in pipe networks with

arXiv:2010.02743v1
fatcat:jxfvtk23qjcv3ofj3cvuj7ttxm
*a*special focus on questions*of**control*and stabilization. ... We briefly present the modeling*of*gas flow and coupling conditions for flow through vertices*of**a*network. ...*Controllability*The results about the*exact**boundary**controllability**of*general one-dimensional*quasilinear**hyperbolic**systems*that have been obtained in the framework*of*classical solutions (see e.g. ...##
###
Hyperbolic Conservation Laws

2008
*
Oberwolfach Reports
*

and viscous perturbations for

doi:10.4171/owr/2008/56
fatcat:vwgkrt2egzgr3krlmfhngtxm4i
*a**class**of*multidimensional*systems**of**conservation**laws*. ...*Boundary*Values for Moment Equation Ingo Müller The moment equations*of*the kinetic theory*of*gases furnish*a**quasilinear**hyperbolic**system*which is entirely explicit. ... It is also sometimes beneficial to introduce*a*magnetic potential,*A*, that is related to the magnetic field in the following way: The ideal MHD equations form*a**system**of**hyperbolic**conservation**laws*, ...##
###
Local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of balance laws
[article]

2017
*
arXiv
*
pre-print

We prove the local

arXiv:1711.08582v2
fatcat:qbjxypzvmfemxpqc4ikeeoasce
*exact*one-sided*boundary*null*controllability**of*entropy solutions to this*class**of**systems*, which generalizes the corresponding results from the case without source terms to that with ... We consider nxn*hyperbolic**systems**of*balance*laws*in one-space dimension under the assumption that all negative (resp. positive) characteristics are linearly degenerate. ... In [18] , we obtained the local*exact*one-sided*boundary*null*controllability**of*entropy solutions to*a**class**of**quasilinear**hyperbolic**systems**of**conservation**laws*∂ t H(u) + ∂ x F (u) = 0, t ≥ 0, 0 ...##
###
Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis
[article]

2021
*
arXiv
*
pre-print

We present

arXiv:2104.04581v1
fatcat:sebjmzmimndbzfiztdre62y3xa
*a*predictive feedback*control*method for*a**class**of**quasilinear**hyperbolic**systems*with one*boundary**control*input. ... Rigorous, although*conservative*conditions on the time derivative*of*the initial condition and on the design parameter*controlling*the convergence speed are given to ensure*global*existence*of*the solution ... The*exact*, finite time*boundary**controllability*and observability*of*1-dimensional*hyperbolic**systems*is well established for both linear [4] and*quasilinear*[5] , [6] , [7]*systems*. ...##
###
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems
[article]

2020
*
arXiv
*
pre-print

The goal

arXiv:2010.15664v1
fatcat:llpewpxwrrf3nhnphawz6dnzga
*of*this article is to present the minimal time needed for the null*controllability*and finite-time stabilization*of*one-dimensional first-order 2 × 2 linear*hyperbolic**systems*. ... The main technical point is to show that we cannot obtain*a*better time. The proof combines the backstepping method with the Titchmarsh convolution theorem. ... This project was supported by National Natural Science Foundation*of*China (No. 12071258) and the Young Scholars Program*of*Shandong University (No. 2016WLJH52). ...##
###
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
[article]

2010
*
arXiv
*
pre-print

In this paper we introduce some new concepts for second-order

arXiv:0910.5782v2
fatcat:w5ysibalofefvpv7nyl3qq7fem
*hyperbolic*equations: two-point*boundary*value problem,*global**exact**controllability*and*exact**controllability*. ...*exact**controllability**of*these wave equations. ... This work was supported in part by the NNSF*of*China (Grant No. 10971190) and the Qiu-Shi Chair Professor Fellowship from Zhejiang University. ...##
###
List of contents

2003
*
Applied Mathematics Letters
*

Wang Spiral Flames
Collectively Fixed-Point Theorems in Noncompact
G-Convex Spaces

doi:10.1016/s0893-9659(03)90138-8
fatcat:sgh4wgebmnfchpedljenuojy2m
*A*Note on "Well-Posedness Theory for*Hyperbolic**Conservation**Laws*" Comparison*of*Numerical Schemes for Solving ... Muiioz Rivera 243*of*Positive Solutions to*a**Quasilinear*Eliptic*System*and Blow-Up Estimates for*a*Non-Newtonian Filtration*System*D. Xie, Y. Sheng and X. ...##
###
J. M. Ball,(ed) Systems of nonlinear partial differential equations (D. Reidel, Dordrecht, 1983), ix + 481 pp., Dfl. 150

1984
*
Proceedings of the Edinburgh Mathematical Society
*

One

doi:10.1017/s0013091500022343
fatcat:lut7cbmhlvevfmr54sdhkkbugi
*of*its most interesting applications is the recent work*of*R. Diperna*of**global*existence for some 2x2*systems**of**conservation**laws*with bounded data.' ... Tartar motivates these ideas through the equations*of*electrostatics and makes application to*hyperbolic**systems**of**conservation**laws*satisfying certain entropy conditions. ...##
###
Exact controllability of wave equations on a circle
[article]

2010
*
arXiv
*
pre-print

In this paper, we investigate the two-point

arXiv:0912.5018v2
fatcat:exh3tz5bmjafndgi3oh4arajri
*boundary*value problems for linear wave equation defined on*a*circle and prove that the equation possesses the*exact**controllability*. ... We also investigate the two-point*boundary*value problems for the wave equation defined on*a*strip with Dirichlet or Neumann*boundary*conditions and show that the equation still possesses the*exact**controllability*... This work was supported in part by the NNSF*of*China (Grant No. 10971190) and the Qiu-Shi Chair Professor Fellowship from Zhejiang University. ...##
###
Multidimensional Conservation Laws: Overview, Problems, and Perspective
[chapter]

2011
*
IMA Volumes in Mathematics and its Applications
*

Some basic features and phenomena

doi:10.1007/978-1-4419-9554-4_2
fatcat:dirygzolwvdv5pbn22osofrfdq
*of*multidimensional*hyperbolic**conservation**laws*are revealed, and some samples*of*multidimensional*systems*/models and related important problems are presented and analyzed ... Some*of*recent important developments are overviewed, several longstanding open problems are discussed, and*a*perspective is presented for the mathematical theory*of*multidimensional*conservation**laws*. ...*Hyperbolic**Conservation**Laws*,*quasilinear**hyperbolic**systems*in divergence form, are one*of*the most important*classes**of*nonlinear partial differential equations (PDEs for short). ...##
###
Multidimensional Conservation Laws: Overview, Problems, and Perspective
[article]

2010
*
arXiv
*
pre-print

Some basic features and phenomena

arXiv:1008.1752v1
fatcat:bylfwm4nlzbd5imhcfhghb5kcq
*of*multidimensional*hyperbolic**conservation**laws*are revealed, and some samples*of*multidimensional*systems*/models and related important problems are presented and analyzed ... Some*of*recent important developments are overviewed, several longstanding open problems are discussed, and*a*perspective is presented for the mathematical theory*of*multidimensional*conservation**laws*. ... The work*of*Gui-Qiang G. ...##
###
Boundary conditions for the gravitational field

2012
*
Classical and quantum gravity
*

At present, it is known how to treat

doi:10.1088/0264-9381/29/11/113001
fatcat:wkcgyir3g5finozefuhslsalju
*boundaries*in the harmonic formulation*of*Einstein's equations and*a*tetrad formulation*of*the Einstein-Bianchi*system*. ...*A*review*of*the treatment*of**boundaries*in general relativity is presented with the emphasis on application to the formulations*of*Einstein's equations used in numerical relativity. ... The results were further generalized in [18, 19] to apply to*a*general*quasilinear**class**of*symmetric*hyperbolic**systems*whose*boundary*conditions have*a*certain hierarchical form. ...##
###
Euler Equations and Related Hyperbolic Conservation Laws
[chapter]

2005
*
Handbook of Differential Equations: Evolutionary Equations
*

*Global*well-posedness for discontinuous solutions, including the BV theory and the L ∞ theory, for the one-dimensional Euler equations and related

*hyperbolic*

*systems*

*of*

*conservation*

*laws*is described. ... Some aspects

*of*recent developments in the study

*of*the Euler equations for compressible fluids and related

*hyperbolic*

*conservation*

*laws*are analyzed and surveyed. ...

*Hyperbolic*

*Conservation*

*Laws*,

*quasilinear*

*hyperbolic*

*systems*in divergence form, are one

*of*the most important

*classes*

*of*nonlinear partial differential equations, which typically take the following form ...

##
###
Solutions for Models of Chemically Reacting Mixtures
[chapter]

2016
*
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
*

The

doi:10.1007/978-3-319-10151-4_73-1
fatcat:hicjev26mjdvdo7hkkt2wkmg5y
*hyperbolic*-parabolic structure*of*the resulting*system**of*partial differential equations is analyzed using symmetrizing variables. ... The situations*of*traveling waves and reaction-diffusion*systems*is also addressed. ...*Global*existence and uniform boundedness for*a**class**of**boundary*value problems for binary reaction-diffusion*systems*has been investigated by Hollis, Martin and Pierre [65] . ...
« Previous

*Showing results 1 — 15 out of 375 results*