Fine dissipative properties of Euler solutions with measure first derivatives
Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
wiley +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley +1 more source
Excursion theory for Markov processes indexed by Lévy trees
Abstract We develop an excursion theory that describes the evolution of a Markov process indexed by a Lévy tree away from a regular and instantaneous point x$x$ of the state space. The theory builds upon a notion of local time at x$x$ that was recently introduced in the companion paper [Probab. Theory Related Fields. 189 (2024), 1–99].
Armand Riera, Alejandro Rosales‐Ortiz
wiley +1 more source
Analyzing the Robustness of Complex Networks with Attack Success Rate. [PDF]
Yang F, Wang Y.
europepmc +1 more source
Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Poiatti A.
europepmc +1 more source
On the solution for a nonlinear wave equation with variable exponent nonlinearity and a varying delay. [PDF]
Benguessoum A +3 more
europepmc +1 more source
How Quantum Mechanics Requires Non-Additive Measures. [PDF]
Carcassi G, Aidala CA.
europepmc +1 more source
Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc +1 more source
Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates. [PDF]
Divyabala K, Durga N.
europepmc +1 more source

