OSCILLATION, CONTROL AND APPLICATIONS TO EDPS

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Spain. Budget: total eligible expenditure EUR 18,693.75; EU co-financing EUR 9,346.875 (co-financing rate 50%), as stated by the source. Runs 2014-01-01 to 2018-06-30. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): IN THIS PROJECT WE WILL CONSIDER CERTAIN EQUATIONS IN PARTIAL DERIVATIVES THAT PLAY A RELEVANT ROLE IN QUANTUM AND MECHANICAL MECHANICS OF FLUIDS. THE COMMON LINK TO THE THEMES WE WILL ADDRESS IS TO CONTROL AND ANALYSE HIGHLY OSCILLATING SOLUTIONS. IN THE FIELD OF QUANTUM MECHANICS, WE WILL CONSIDER SCHRODINGER’S EQUATION. WE WILL STUDY FOR THIS EQUATION BOTH THE DIRECT PROBLEM AND THE REVERSE PROBLEM: GIVEN THE POTENTIAL OR METRICA, WE INTEND TO CHARACTERISE WITH THE GREATEST POSSIBLE PRECISION THE DYNAMICS OF THE CORRESPONDING SCHRODINGER EQUATION SOLUTIONS BASED ON THE INITIAL DATA. THE REVERSE PROBLEM IS TO RECOVER THE POTENTIAL OR THE METRICA FROM SCATTERING DATA. AS FAR AS THE EQUATIONS OF FLUID MECHANICS ARE CONCERNED, WE WILL ADDRESS THREE MODELS: THE NAVIER-STOKES SYSTEM, THE DAVEY-STEWARTSON SYSTEM AND THE MULTIDIMENSIONAL BENJAMIN-ONO EQUATION. WITH REGARD TO THE ARCHIESTIDIATED SYSTEM OF NAVIER-STOKES, WE PROPOSE TO TRY TO ANSWER THE QUESTION OF THE MILLION DOLLARS ABOUT THE REGULARITY OF THE SOLUTIONS ASSUMING A PRIORI AN ADDITIONAL INTEGRABILITY IN THE ANGULAR COMPONENT OF THE SOLUTION. THE DAVEY-STEWARTSON SYSTEM HAS BEEN WIDELY STUDIED, MAINLY UNDER A TRADITIONAL EDPS OPTIC. WE INTEND TO USE A NOVEL APPROACH TO THIS PROBLEM BASED ON THE TRANSFORMATION OF REVERSE SCATTERING (WHICH ORIGINATES FROM THE THEORY OF REVERSE PROBLEMS) TO DEMONSTRATE THE WELL-PLACED CHARACTER OF THE SYSTEM UNDER WEAK REGULARITY HYPOTHESES OVER THE INITIAL DATA. FINALLY, BENJAMIN-ONO’S EQUATION IS A MODEL THAT HAS BEEN RECENTLY INTRODUCED TO DESCRIBE THE STRUCTURE OF INTERNAL WAVES IN A FLUID. IT HAS THEREFORE BEEN LITTLE STUDIED SO FAR, AND MANY ISSUES REMAIN OPEN, INCLUDING THE DEMONSTRATION OF THE CHARACTER WELL PLACED FOR NON-SOFT INITIAL DATA.

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project "Oscillation, Control and Applications to EDPS" is co-funded by the EU under the ERDF, with a budget of EUR 18,693.75, running from January 1, 2014, to June 30, 2018, focusing on equations in quantum mechanics and fluid mechanics. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.