Results 161 to 170 of about 78,580 (207)
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Asymptotic Methods in Nonlinear Wave Phenomena, 2007
Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations.
G. MANNO, OLIVERI, Francesco, R. VITOLO
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Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations.
G. MANNO, OLIVERI, Francesco, R. VITOLO
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2018
The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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Annual Reviews in Control, 2007
Abstract This paper presents several recently developed techniques for adaptive control of PDE systems. Three different design methods are employed—the Lyapunov design, the passivity-based design, and the swapping design. The basic ideas for each design are introduced through benchmark plants with constant unknown coefficients.
Miroslav Krstic, Andrey Smyshlyaev
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Abstract This paper presents several recently developed techniques for adaptive control of PDE systems. Three different design methods are employed—the Lyapunov design, the passivity-based design, and the swapping design. The basic ideas for each design are introduced through benchmark plants with constant unknown coefficients.
Miroslav Krstic, Andrey Smyshlyaev
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On the conservation laws of PDEs
Reports on Mathematical Physics, 1988The covariance of methods for obtaining conservation laws for nonlinear partial differential equations is studied [the second author, Riv. Nuovo Cim. 5, No.4, 1-122 (1982; see the review above) and \textit{A. M. Vinogradov}, J. Math. Anal. Appl. 100, 41-129 (1985; Zbl 0548.58015)].
MARINO V, PRASTARO, Agostino
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2009
In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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Quaestiones Mathematicae, 2000
Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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2003
The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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1991
The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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Reports on Mathematical Physics, 1991
This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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2005
One of the aims of Computer Vision in the past thirty years has been to recognize shapes with numerical algorithms. In this chapter, we describe five curve smoothing algorithms, of growing sophistication and invariance. We give a detailed implementation and link these algorithms to the curve evolution PDE's they implement.
Guichard, Frédéric +2 more
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One of the aims of Computer Vision in the past thirty years has been to recognize shapes with numerical algorithms. In this chapter, we describe five curve smoothing algorithms, of growing sophistication and invariance. We give a detailed implementation and link these algorithms to the curve evolution PDE's they implement.
Guichard, Frédéric +2 more
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