Results 11 to 20 of about 221 (109)
On harmonic and biharmonic maps from gradient Ricci solitons
Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023 Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
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Urban Growth and Its Aggregate Implications
Econometrica, Volume 91, Issue 6, Page 2219-2259, November 2023., 2023 We develop an urban growth model where human capital spillovers foster entrepreneurship and learning in heterogeneous cities. Incumbent residents limit city expansion through planning regulations so that commuting and housing costs do not outweigh productivity gains from agglomeration.
Gilles Duranton, Diego Puga
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Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves
Communications on Pure and Applied Mathematics, Volume 76, Issue 7, Page 1416-1494, July 2023., 2023 Abstract We consider the gravity water waves system with a periodic one‐dimensional interface in infinite depth and give a rigorous proof of a conjecture of Dyachenko‐Zakharov [16] concerning the approximate integrability of these equations. More precisely, we prove a rigorous reduction of the water waves equations to its integrable Birkhoff normal ...
Massimiliano Berti +2 more
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Formation control of large‐scale mobile sensor networks based on semilinear parabolic system
The Journal of Engineering, Volume 2023, Issue 1, January 2023., 2023 Abstract This paper is concerned with the formation control problem for a class of large‐scale mobile sensor networks. The dynamic of mobile sensors are modelled by class of semilinear parabolic system, which is a class of partial differential equation (PDE) and has rich geometric family.
Xueming Qian, Baotong Cui
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The interplay between fractional damping and nonlinear memory for the plate equation
Mathematical Methods in the Applied Sciences, Volume 45, Issue 11, Page 6951-6981, 30 July 2022., 2022 In this paper, we study the interplay between a fractional damping (− Δ)θut with θ ∈ [0, 1/2), and a nonlinear memory term applied to a plate equation: utt−Δutt−Δu+Δ2u+(−Δ)θut=∫0t(t−s)−γ|u(s,·)|pds,t>0,x∈ℝn, in space dimension n=1,2,3,4. In different scenarios, we prove the global existence of small data solutions in C([0,∞),H2)∩C1([0,∞),H1) for ...
Marcello D'Abbicco, Luis Gustavo Longen
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Robust impulsive observer design for infinite‐dimensional cell population balance models
International Journal of Robust and Nonlinear Control, Volume 32, Issue 2, Page 774-791, 25 January 2022., 2022 Abstract The observer design problem for a class of cell population balance models, describing the time evolution of the cell mass density distribution function and the substrate concentration in a continuous‐stirred tank bioreactor with irregular discrete‐time measurements of the cell mass distribution is considered.
Alexander Schaum +2 more
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Finite‐time local piecewise control for parabolic PDEs with ODE output feedback
IET Control Theory &Applications, Volume 16, Issue 2, Page 229-243, January 2022., 2022 Abstract This paper is devoted to the finite‐time local piecewise control for parabolic partial differential equations (PDEs) by using dynamic output feedback control strategy, where the controller is designed as an ordinary differential equation (ODE).
Manna Li, Weijie Mao
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Global Dissipative Solution for an Extended Dullin–Gottwald–Holm Equation
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The current paper devotes to the continuation of the solutions for the Dullin–Gottwald–Holm equation with forcing. Due to forcing, this equation loses the conservation of energy and cannot be regarded as the Hamiltonian system. Thus, through employing the characteristic method and exploiting the balance law, we prove the existence of a semigroup of a ...
Yan Wang +3 more
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Semilinear formulation of a hyperbolic system of partial differential equations [PDF]
, 2022 Altres ajuts: acords transformatius de la UABIn this paper, we solve the Cauchy problem for a hyperbolic system of first-order PDEs defined on a certain Banach space X. The system has a special semilinear structure because, on the one hand, the evolution
Calsina i Ballesta, Àngel +1 more
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Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]
, 2015 The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
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