Results 41 to 50 of about 209 (114)

Trapped Surface Formation in General Relativity and Double Null Foliations

open access: yes
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
core   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

open access: yesMathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.
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
wiley   +1 more source

A Model of Strategic Sustainable Investment

open access: yesMathematical Finance, Volume 36, Issue 4, Page 771-803, October 2026.
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
wiley   +1 more source

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15010-15055, 15 September 2026.
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
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
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
wiley   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.
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
wiley   +1 more source

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
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
wiley   +1 more source

진동하는 데이타를 가진 타원형 비선형 방정식의 균질화 문제

open access: yes, 2013
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

open access: yesOptimal Control Applications and Methods, Volume 47, Issue 5, Page 1062-1082, September/October 2026.
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
wiley   +1 more source

KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study

open access: yesStudies in Applied Mathematics, Volume 157, Issue 3, September 2026.
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
wiley   +1 more source

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