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Existence and uniqueness for the Prandtl equations
Affiliation:1. Équipe d''analyse et de mathématiques appliquées, UFR de mathématiques, université de Marne-la-Vallée, cité Descartes, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France;2. Dipartimento di Matematica, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy;1. Herbal and Traditional Medicines Research Center, Kerman University of Medical Sciences, Kerman, Iran;2. Department of Traditional Medicine, Faculty of Traditional Medicine, Kerman University of Medical Sciences, Kerman, Iran;3. Molecular Dermatology Research Center, Shiraz University of Medical Sciences, Shiraz, Iran;4. Center for Nanotechnology in Drug Delivery, Shiraz University of Medical Sciences, Shiraz, Iran;5. Department of Pharmaceutics, Shiraz School of Pharmacy, Shiraz University of Medical Sciences, Shiraz, Iran;6. Pharmaceutical Sciences Research Center, Shiraz University of Medical Sciences, Shiraz, Iran;7. Department of Orthosis and Prosthesis, Red Crescent Rehabilitation Center, Shiraz, Iran;8. Research Center of Tropical and Infectious Diseases, Kerman University of Medical Sciences, Kerman, Iran;9. Neuroscience Research Center, Kerman University of Medical Sciences, Kerman, Iran;1. Student Research Committee, Iranian UNESCO Center of Excellence for Human Nutrition, Mashhad University of Medical Sciences, Mashhad, Iran;2. Isfahan Cardiovascular Research Center, Isfahan Cardiovascular Research Institute, Isfahan University of Medical Sciences, Isfahan, Iran;3. Metabolic Syndrome Research Center, Mashhad University of Medical Sciences, Mashhad, Iran;4. Cardiovascular Research Center, Mashhad University of Medical Sciences, Mashhad, Iran;5. Food Security Research Center, Isfahan University of Medical Sciences, Isfahan, Iran;6. Pharmaceutics Research Center, Institute of Neuropharmacology, Kerman University of Medical Sciences, Kerman, Iran;7. Herbal and Traditional Medicines Research Center, Kerman University of Medical Sciences, Kerman, Iran;8. Halal Research Center of IRI, FDA, Tehran, Iran;9. Department of Nutrition, Faculty of Medicine, Mashhad University of Medical Sciences, Mashhad, Iran;10. Neurogenic Inflammation Research Center, Mashhad University of Medical Sciences, Mashhad, Iran;11. Biotechnology Research Center, Pharmaceutical Technology Institute, Mashhad University of Medical Sciences, Mashhad, Iran;12. School of Pharmacy, Mashhad University of Medical Sciences, Mashhad, Iran;1. Faculty of Mechanical Engineering, Islamic Azad University, Takestan Branch, Takestan, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran;1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;2. Department of Mechanical Engineering, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran
Abstract: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.
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