지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 1,143 - 1,158 (16page)
이용수
초록· 키워드
오류제보하기
In this paper, we are concerned with the blow-up phenomena for a class of pseudo-parabolic equations with weighted source $u_{t}-\triangle u-\triangle u_{t}=a(x)f(u)$ subject to Dirichlet (or Neumann) boundary conditions in any smooth bounded domain $\Omega\subset \mathbb{R}^{n}$ $(n\geq1)$. Firstly, we obtain the upper and lower bounds for blow-up time of solutions to these problems. Moreover, we also give the estimates of blow-up rate of solutions under some suitable conditions. Finally, three models are presented to illustrate our main results. In some special cases, we can even get some exact values of blow-up time and blow-up rate.
목차
등록된 정보가 없습니다.
참고문헌 (28)
참고문헌 신청
A. B. Al’shin / 2011 / Blow-up in nonlinear Sobolev type equations / Walter de Gruyter & Co.
J. Bebernes / 1982 / Thermal behavior for a confined reactive gas / J. Differential Equations 44(1):118~133
H. Di / 2020 / Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration / J. Differential Equations 269(5):4566~4597
H. Di / 2017 / Blow-up phenomena for a pseudo-parabolic equation with variable exponents / Appl. Math. Lett 64:67~73
E. DiBenedetto / 1981 / On the maximum principle for pseudoparabolic equations / Indiana Univ. Math. J 30(6):821~854
J. Bebernes / 1982 / Thermal behavior for a confined reactive gas / J. Differential Equations 44(1):118~133
H. Di / 2020 / Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration / J. Differential Equations 269(5):4566~4597
H. Di / 2017 / Blow-up phenomena for a pseudo-parabolic equation with variable exponents / Appl. Math. Lett 64:67~73
E. DiBenedetto / 1981 / On the maximum principle for pseudoparabolic equations / Indiana Univ. Math. J 30(6):821~854
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Two new blow-up conditions for a pseudo-parabolic equation with logarithmic nonlinearity
대한수학회보
2019 .01
-
Blow-up and global solutions for some parabolic systems under nonlinear boundary conditions
대한수학회지
2019 .01
-
Global existence and blow-up for a degenerate reaction-diffusion system with nonlinear localized sources and nonlocal boundary conditions
대한수학회지
2016 .01
-
Blow-up rate for the semi-linear wave equation in bounded domain
대한수학회보
2015 .01
-
BLOW-UP PHENOMENA FOR A QUASILINEAR PARABOLIC EQUATION WITH TIME-DEPENDENT COEFFICIENTS UNDER NONLINEAR BOUNDARY FLUX
충청수학회지
2018 .01
-
Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source
Kyungpook Mathematical Journal
2021 .01
-
A NOTE ON THE CAUCHY PROBLEM FOR HEAT EQUATIONS WITH COUPLING MOVING REACTIONS OF MIXED TYPE
Journal of applied mathematics & informatics
2016 .01
-
The Chow ring of a sequence of point blow-ups
대한수학회논문집
2024 .07
-
황사 발원지에서의 관측 자료를 이용한 Wind-Blown Dust 모델의 평가
한국대기환경학회 학술대회논문집
2022 .10
-
동아시아 먼지발생원에서 Wind-Blown Dust 모델들의 임계마찰속도 비교
한국대기환경학회 학술대회논문집
2018 .10
-
A BLOW-UP RESULT FOR A STOCHASTIC HIGHER-ORDER KIRCHHOFF-TYPE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS
East Asian Mathematical Journal
2023 .05
-
Global solution and blow-up of logarithmic Klein-Gordon equation
대한수학회보
2020 .01
-
Development and Characterization of metal complexed Melt-Blown (MB) air purification filter
한국분석과학회 학술대회
2018 .11
-
Existence, Blow-up and Exponential Decay Estimates for the Nonlinear Kirchhoff-Carrier Wave Equation in an Annular with Robin-Dirichlet Conditions
Kyungpook Mathematical Journal
2021 .12
-
상사의 비인격적 감독이 부하의 내부고발의도에 미치는 영향: 정서적 몰입의 매개효과를 중심으로
Journal of The Korean Data Analysis Society
2019 .01
-
Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity
대한수학회보
2022 .11
-
Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity
대한수학회지
2021 .01
-
FINITE TIME BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED NONLINEAR KLEIN-GORDON EQUATION WITH VARIABLE EXPONENTS
호남수학학술지
2018 .01
-
On weighted and pseudo-weighted spectra of bounded operators
대한수학회논문집
2018 .01
-
소형 드라이 펌프에서 blow-off valve design
한국진공학회 학술발표회초록집
2021 .02
이 논문의 저자 정보
최근 본 자료
댓글(0)
0