Results 41 to 50 of about 209 (114)
Trapped Surface Formation in General Relativity and Double Null Foliations
This dissertation deals primarily with two main subjects within the field of mathematical general relativity (GR). Mathematical GR is the study of gravitation through analysis of the Einstein equations, which link the matter content of our universe to ...
Stith, Christopher
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
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A Model of Strategic Sustainable Investment
ABSTRACT We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero‐sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous‐time on an infinite‐time horizon.
Tiziano De Angelis +2 more
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On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
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ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
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진동하는 데이타를 가진 타원형 비선형 방정식의 균질화 문제
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 이기암.이 학위논문에서 우리는 주로 비선형 편미분 방정식의 균질화 문제를 다루고 있다. 첫 번째로는 다공된 영역에서의 균질화 문제를 연구하였다. 우리는 흔히 소프트 인클루전이라고 불리우는 문제의 결과를 좀 더 일반적인 비선형이고 다이버젼스 타입이 아닌 방정식으로 확장하였다. 두 번째로는, Cioranescu와 Murat에 의해서 발견된 Strange Term Behavior에 대한
유민하
core
Approximate Reachability for Feedback Linearizable Systems
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
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KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study
ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
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