Results 231 to 240 of about 223,632 (263)
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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
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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
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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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(CO)Bordisms in PDEs and quantum PDEs
Reports on Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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
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2020
Summary: In this paper we study a number of nonlinear fractional equations, involving Caputo derivative in space or/and in time, admitting explicit solution in separating variable form. Some of these equations are particularly interesting because they admit completely periodic solutions. When time-fractional derivatives are introduced, this property is
Riccardo Droghei, Roberto Garra
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Summary: In this paper we study a number of nonlinear fractional equations, involving Caputo derivative in space or/and in time, admitting explicit solution in separating variable form. Some of these equations are particularly interesting because they admit completely periodic solutions. When time-fractional derivatives are introduced, this property is
Riccardo Droghei, Roberto Garra
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Proceedings of the 2017 ACM SIGSIM Conference on Principles of Advanced Discrete Simulation, 2017
In this paper, we present initial experiences implementing a general Parallel Discrete Event Simulation (PDES) accelerator on a Field Programmable Gate Array (FPGA). The accelerator can be specialized to any particular simulation model by defining the object states and the event handling logic, which are then synthesized into a custom accelerator for ...
Shafiur Rahman +2 more
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In this paper, we present initial experiences implementing a general Parallel Discrete Event Simulation (PDES) accelerator on a Field Programmable Gate Array (FPGA). The accelerator can be specialized to any particular simulation model by defining the object states and the event handling logic, which are then synthesized into a custom accelerator for ...
Shafiur Rahman +2 more
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2014
We first review the linear Laplace equation. For functions $$\phi\;:\;\mathbb{R}^n\;\rightarrow\;\mathbb{R}$$ we define the Lagrangian $$ L^e(\phi)\;=\;\frac{1} {2}\int_{\mathbb{R}^{n}} {\left| {\nabla _x \phi } \right|^2 \,dx} \, = \,\frac{1} {2}\int_{\mathbb{R}^{n}} {\partial _\alpha \phi } \cdot \partial _\alpha \phi \,dx ,$$ with the ...
Herbert Koch +2 more
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We first review the linear Laplace equation. For functions $$\phi\;:\;\mathbb{R}^n\;\rightarrow\;\mathbb{R}$$ we define the Lagrangian $$ L^e(\phi)\;=\;\frac{1} {2}\int_{\mathbb{R}^{n}} {\left| {\nabla _x \phi } \right|^2 \,dx} \, = \,\frac{1} {2}\int_{\mathbb{R}^{n}} {\partial _\alpha \phi } \cdot \partial _\alpha \phi \,dx ,$$ with the ...
Herbert Koch +2 more
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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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