Results 261 to 270 of about 36,394 (307)
Some of the next articles are maybe not open access.
(CO)Bordisms in PDEs and quantum PDEs
Reports on Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agostino Prastaro
exaly +3 more sources
Extremum seeking boundary control for PDE–PDE cascades
Systems & Control Letters, 2021The manuscript addresses the problem of extremum seeking for wave equations evolving in the one-dimensional spatial interval~\((0,1)\subset\mathbb R\). \par The input control acts on the right spatial boundary point~\(x=1\); see Eqs.~(4)--(7). The authors also consider the case where such input is subject to the solution of a heat equation; see Eqs ...
Tiago Roux Oliveira, Miroslav Krstic
openaire +1 more source
Phosphodiesterases (PDEs) and PDE inhibitors for treatment of LUTS
Neurourology and Urodynamics, 2007Lower urinary tract (LUT) smooth muscle can be relaxed by drugs that increase intracellular concentrations of cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP). Both of these substances are degraded by phosphodiesterases (PDEs), which play a central role in the regulation of smooth muscle tone.
Karl-Erik, Andersson +3 more
openaire +2 more sources
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.
F. OLIVERI +2 more
openaire +3 more sources
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.
F. OLIVERI +2 more
openaire +3 more sources
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
openaire +1 more source
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
openaire +1 more source
2018
This chapter of the book is devoted to the study of parabolic–parabolic PDE loops by means of the small-gain methodology. The results contained in the present chapter allow the existence of non-local reaction terms (both distributed terms and boundary terms) as well as distributed and boundary inputs.
Iasson Karafyllis, Miroslav Krstic
openaire +1 more source
This chapter of the book is devoted to the study of parabolic–parabolic PDE loops by means of the small-gain methodology. The results contained in the present chapter allow the existence of non-local reaction terms (both distributed terms and boundary terms) as well as distributed and boundary inputs.
Iasson Karafyllis, Miroslav Krstic
openaire +1 more source
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
openaire +3 more sources
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
openaire +1 more source
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
openaire +1 more source
PRINCIPLE OF STRUCTURAL ANALOGY OF SOLUTIONS AND ITS APPLICATION TO NONLINEAR PDEs AND DELAY PDEs
Journal of Mathematical SciencesUsing the principle of structural analogy of solutions, approaches have been developed for constructing exact solutions of complex nonlinear PDEs, including PDEs with delay, based on the use of special solutions to auxiliary simpler related equations. It
A D Polyanin, Polyanin Andrei D
exaly +2 more sources
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.
openaire +1 more source
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.
openaire +1 more source