Results 51 to 60 of about 40,837 (275)
Properties of linear integral equations related to the six-vertex model with disorder parameter
, 2010 One of the key steps in recent work on the correlation functions of the XXZ chain was to regularize the underlying six-vertex model by a disorder parameter $\alpha$.
Boos, Hermann, Göhmann, Frank
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
On existence and asymptotic stability of solutions of a nonlinear integral equation
Journal of Mathematical Analysis and Applications, 2003 The authors prove an existence theorem for a nonlinear Volterra integral equation of a special type arising in traffic theory: \[ x(t)= f(t, x(t)) \int^1_0 u(t, s,x(s)) ds,\quad t\in t\in [0,1].\tag{1} \] It is an example of a quadratic integral equation.
Beata Rzepka, Józef Banaś
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Advanced Biology, EarlyView.The unrolling of the peltate leaves in Syngonium podophyllum is analyzed and quantified (left‐hand side to center). These measurements serve to verify a mathematical model for leaf unrolling based on the model used in Schmidt (2007). An additional formula for obtaining a layer mismatch from a prescribed radius is derived.
Michelle Modert +4 more
wiley +1 more source
Many-body wave scattering problems in the case of small scatterers
, 2012 Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium.
Ramm, A. G.
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Solutions of special asymptotics to the Einstein constraint equations
, 2010 We construct solutions with prescribed asymptotics to the Einstein constraint equations using a cut-off technique. Moreover, we give various examples of vacuum asymptotically flat manifolds whose center of mass and angular momentum are ill-defined ...
Bartnik R +8 more
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Programmable Reconfiguration of Hybrid 4D Chiral Metamaterials via Mechanical and Thermal Stimuli
Advanced Engineering Materials, EarlyView.A class of hybrid chiral mechanical metamaterials is designed to achieve programmable reconfiguration through soft networks, hinges, and bilayer joints integrated with rigid units. Responsive to mechanical and thermal stimuli, these structures exhibit large volume changes, tunable deformation pathways, and both positive and negative thermal expansion ...
Yunyao Jiang, Siyao Liu, Yaning Li
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Asymptotic behavior for solutions of some integral equations
Communications on Pure and Applied Analysis, 2010 In this paper we study the asymptotic behavior of the positive solutions of the following system of Euler-Lagrange equations of the Hardy-Littlewood-Sobolev type in $R^n$ $u(x) = \frac{1}{|x|^{\alpha}}\int_{R^n} \frac{v(y)^q}{|y|^{\beta}|x-y|^{\lambda}} dy $, $ v(x) = \frac{1}{|x|^{\beta}}\int_{R^n} \frac{u(y)^p}{|y|^{\alpha}|x-y|^{\lambda}}
Chao Ma, Yutian Lei
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Asymptotics of the instantons of Painleve I
, 2010 The 0-instanton solution of Painlev\'e I is a sequence $(u_{n,0})$ of complex numbers which appears universally in many enumerative problems in algebraic geometry, graph theory, matrix models and 2-dimensional quantum gravity.
Alexander Its +31 more
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Ultrahigh Piezoelectricity in Truss‐Based Ferroelectric Ceramics Metamaterials
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.By leveraging the unique combination of polarization direction and loading state, ultrahigh piezoelectricity is achieved through careful tuning of the relative density and scaling ratio in truss‐based ferroelectric metamaterials. This approach enables the simultaneous realization of extremely high piezoelectric constants and ultralow dielectric ...
Jiahao Shi +6 more
wiley +1 more source