6533b82afe1ef96bd128b925

RESEARCH PRODUCT

Existence and uniqueness for the Prandtl equations

Marco SammartinoMaria Carmela LombardoMarco Cannone

subject

Partial differential equation010102 general mathematicsPrandtl numberMathematical analysisGeneral Medicine01 natural sciencesEuler equations010101 applied mathematicssymbols.namesakeBoundary layer[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]symbolsUniqueness0101 mathematicsConvection–diffusion equationNavier–Stokes equationsVariable (mathematics)Mathematics

description

International audience; Under the hypothesis of analyticity of the data with respect to the tangential variable we prove the existence and uniqueness of the mild solution of Prandtl boundary layer equation. This can be considered an improvement of the results of [8] as we do not require analyticity with respect to the normal variable. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

yearjournalcountryeditionlanguage
2001-02-01
10.1016/s0764-4442(00)01798-5https://hal-upec-upem.archives-ouvertes.fr/hal-00693748