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It is known since the pioneering works of Scheffer and Shnirelman that there are nontrivial distributional solutions to the Euler equations which are compactly supported in space and time. Obviously these solutions do not respect the classical conservation law for the total kinetic energy and they are therefore very irregular. In recent joint works we have… (More)

- A. Choffrut, L. Székelyhidi
- SIAM J. Math. Analysis
- 2014

- A Lapat, L Székelyhidi, I Hornyák
- Biomedical chromatography : BMC
- 1997

RDX is one of the most important military explosives. It is a component of some plastic explosives which are frequently used in terrorist attacks. Two fluorimetric methods have been described for the quantitative determination of RDX which are based on the detection of nitrite ions. After a basic decomposition of RDX the nitrite ion can be detected by… (More)

We show the existence of Hölder continuous solution of Boussinesq equations in whole space which has compact support both in space and time.

In a recent paper we proposed a possible generalization of L. Schwartz's classical spectral synthesis result for continuous functions in several variables. The idea is based on Gelfand pairs and spherical functions while " translation invariance " is replaced by invariance with respect to the action of affine groups. In this paper we describe the function… (More)

- L Székelyhidi, I Hornyák
- Acta pharmaceutica Hungarica
- 1981

In this note we prove that if K is a compact set of m × n matrices containing an isolated point X with no rank-one connection into the convex hull of K \ {X}, then the rank-one convex hull separates as K rc = K \ {X} rc ∪ {X}. This is an extension of a result of P. Pedregal, which holds for 2 × 2 matrices.

- László Székelyhidi, Leipzig Universität, +4 authors Michael I Weinstein
- 2013

There are two aspects of weak solutions of the incompress-ible Euler equations which are strikingly different to the behaviour of classical solutions. Weak solutions are not unique in general and do not have to conserve the energy. Although the relationship between these two aspects is not clear, both seem to be in vague analogy with Gro-movs h-principle.… (More)

The problem of spectral synthesis on arbitrary Abelian groups is solved in the negative.

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