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LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

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Nội dung chi tiết: LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS QUATIONSDOCTORAL DISSERTATION OF MATHEMATICSHanoi - 2021MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN Till NGANFINITE

-DIMENSIONAL ASYMPTOTIC BEHAVIOR OF N AV1ER-STOKES-VOIGT EQUATIONSSpeciality: Differential and Integral Equations Speciality Code: 9.46.01.03DOCTORAL LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

DISSERTATION OF MATHEMATICSSupervisor: PROF. DR. CƯNG THE AMIHanoi - 2021COMMITTAL IN THE DISSERTATIONI assure that the scientific results presented i

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

n this dissertation are new and original. To my knowledge, before I published these results, there had been no such results in any scientific document

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS when put into the dissertation.February, 2021AuthorNguyen Thi NganACKNOWLEDGEMENTSTills dissertation was carried out at the Department of Mathematics

and Informatics, Hanoi National University of Education. It was completed under the supervision of Prof. Cling The Anil.First and foremost, I would li LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

ke to express my sincere gratitude to my supervisor. Prof. Cling The Anil, for the continuous support of 111V PhD study, for his carefulness, patience

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

, enthusiasm and immense knowledge. His guidance helped me in all the time of research to learn and grow a lot, both professionally and personally. So

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS eful to Assoc. Prof. Tran Dinh Ke for his encouragement during the time 1 have studied at Department of Mathematics and Informatics, Hanoi National Un

iversity of Education. I am deeply indebted to Dr. Vu Manh Toi for his help and many interesting discussions during my first one year. 1 thank all the LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

lecturers and PhD students at the seminar of Division of Mathematical Analysis for their stimulating consultation and valuable comments.1 would like

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

to thank all my colleagues at University of Education Publisher and Foreign Language Specialized School. VNU, for supporting me to study (luring the l

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS thankful to my beloved family for respiting all my decisions and supporting me spiritually throughout my life.Hanoi, 2021Nguyen Thi NganiiCONTENTSCOMM

ITTAL IN T11E DISSERTATION............................................. iACKNOWLEDGEMENTS.......................................................... ii LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

CONTENTS................................................................. iiiLIST OF SYMBOLS..........................................................

LUẬN án TIẾN sĩ FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR ò NAVIER STOKES VOIGT EQUATIONS

.. 1

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONNGUYEN THI NGANFINITE-DIMENSIONAL ASYMPTOTIC BEHAVIOROF NAVIER-STOKES-VOIGT EQ

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