output
19972026
most citedA unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

227 citations

938 papers

math.AP2026

A Sharp Mass Threshold for Boundedness in a Critical Quasilinear Chemotaxis Model With Indirect Signal Production: The Radially Symmetric Case

Philippe Laurençot, Christoph Walker

A critical quasilinear chemotaxis model with indirect signal production in space dimensions higher than two is studied under radial symmetry. Exploiting the variational structure o…

math.OC2026★ 21 cited

Boundary approximate controllability of some linear parabolic systems

Guillaume Olive

This paper focuses on the boundary approximate controllability of two classes of linear parabolic systems, namely a system of heat equations coupled through constant terms and…

math.DG2026

Klein bottle and optimal systolic inequality for nonpositively curved surfaces

Mikhail G. Katz, Stephane Sabourau

We show that the systolic area of every nonpositively curved closed surface other than the torus is at least , with equality if and only if is isometric to a square flat…

math.CA2026

A sharpened Carlson's integral inequality

Philippe Laurençot

A sharpened version of Carlson's integral inequality is established, which features a remainder term involving a relative distance to the set of extremal functions. A similar appro…

math.AP2026

Analytical Study of Minimizers of an N-Field System with Sphere-Valued Constraints

Khaled Chacouche, Rejeb Hadiji, Nahla Noun-Beydoun

This paper investigates a variational model that describes a system of N coupled sphere-valued fields through a penalization term imposing the constraint that their sum coincides w…

math.AP2026

Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes

Tatsuya Hosono, Philippe Lauren{\cc}ot

Global existence and boundedness of weak solutions for a fully parabolic degenerate chemotaxis system with indirect signal production are proved for any initial data in the subcrit…