Results 121 to 130 of about 239,805 (285)

Solving generic parametric linear matrix inequalities

Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation
We consider linear matrix inequalities (LMIs) $A = A_0 + x_1 A_1 + ... + x_n A_n \succeq 0$ with the $A_i$'s being $m \times m$ symmetric matrices, with entries in a ring $\mathcal{R}$. When $\mathcal{R} = \mathbb{R}$, the feasibility problem consists in deciding whether the $x_i$'s can be instantiated to obtain a positive semidefinite matrix.
Naldi, Simone, Safey El Din, Mohab, Taylor, Adrien, Wang, Weijia   +3 more
openaire   +3 more sources

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Static Output Feedback Control for Linear Systems via Multiple Lyapunov Functions

IEEE Access
This paper is concerned with the problem of synthesizing static output feedback (SOF) controllers for linear systems via multiple Lyapunov functions (LFs).
Guokai Liang, Xin Xie, Wei Pan, Yanzhang Gu, Zeming Chen, Zhe Li, Weijie Zeng   +6 more
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

On unitarily invariant norms of matrix-valued linear positive operators

Journal of Inequalities and Applications, 2002
In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
doaj  

Switched Observer Design for a Class of Non-Linear Systems

Applied System Innovation
This paper is concerned with the switched observer design for a class of systems subject to locally Lipschitz non-linearities. By performing a suitable description of the estimation error dynamics into a linear parameter varying (LPV) system ...
Ivan Francisco Yupanqui Tello, Daniel Coutinho, Renzo Martín Mendoza Rabanal   +2 more
doaj   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Resilience Practices and Post‐Traumatic Growth Among Sudanese IDPs

Conflict Resolution Quarterly, EarlyView.
ABSTRACT In this paper we examine the resilience of internally displaced persons (IDPs) in Sudan who have endured various forms of suffering resulting from being targeted or trapped by militants involved in large‐scale violence. Upon escaping the conflict zones, the civilians exhibit strength, adaptability, and wisdom in the face of various threats to ...
Karina Korostelina, Daniel Rothbart, Beltina Gjeloshi   +2 more
wiley   +1 more source