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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,261 - 1,277 (17page)
- DOI
- 10.4134/JKMS.j200565
이용수
초록· 키워드
오류제보하기
An inertial manifold is often constructed as a graph of a function from low Fourier modes to high ones and one used to consider backward bounded (in time) solutions for that purpose. We here show that the proof of the uniqueness of such solutions is crucial in the existence theory of inertial manifolds. Avoiding contraction principle, we mainly apply the Arzela-Ascoli theorem and Laplace transform to prove their existence and uniqueness respectively. A non-self adjoint example is included, which is related to a differential system arising after Kwak transform for Navier-Stokes equations.
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등록된 정보가 없습니다.
참고문헌 (8)
참고문헌 신청
Zhong Bo Fang / 2005 / A Finite Dimensional Property of a Parabolic Partial Differential Equation / Journal of Dynamics and Differential Equations 17(4):845~855
Zhong Bo Fang / 2005 / Negatively bounded solutions for a parabolic partial differential equation / 대한수학회보 42(4):829~836
Ciprian Foias / 1988 / Inertial manifolds for nonlinear evolutionary equations / Journal of Differential Equations 73(2):309~353
Igor Kukavica / 2003 / Fourier Parameterization of Attractors for Dissipative Equations in One Space Dimension / Journal of Dynamics and Differential Equations 15(2/3):473~484
Minkyu Kwak / 1995 / Fourier spanning dimension of attractors for two-dimensional navier-stokes equations / Nonlinear Analysis: Theory, Methods & Applications 25(3):217~222
Zhong Bo Fang / 2005 / Negatively bounded solutions for a parabolic partial differential equation / 대한수학회보 42(4):829~836
Ciprian Foias / 1988 / Inertial manifolds for nonlinear evolutionary equations / Journal of Differential Equations 73(2):309~353
Igor Kukavica / 2003 / Fourier Parameterization of Attractors for Dissipative Equations in One Space Dimension / Journal of Dynamics and Differential Equations 15(2/3):473~484
Minkyu Kwak / 1995 / Fourier spanning dimension of attractors for two-dimensional navier-stokes equations / Nonlinear Analysis: Theory, Methods & Applications 25(3):217~222
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