ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Journals
  • Articles  (1,248)
  • Elsevier  (1,248)
  • American Chemical Society (ACS)
  • Frontiers Media
  • Oxford University Press
  • PeerJ
  • 2015-2019  (1,136)
  • 1985-1989  (112)
  • 1980-1984
  • 1975-1979
  • 1960-1964
  • 1940-1944
  • 2019  (1,136)
  • 1985  (112)
  • 1935
  • Journal of Differential Equations  (631)
  • 1355
  • Mathematics  (1,248)
  • Education
  • Biology
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
Collection
  • Journals
  • Articles  (1,248)
Source
Publisher
  • Elsevier  (1,248)
  • American Chemical Society (ACS)
  • Frontiers Media
  • Oxford University Press
  • PeerJ
Years
  • 2015-2019  (1,136)
  • 1985-1989  (112)
  • 1980-1984
  • 1975-1979
  • 1960-1964
    • +
Year
Journal
Topic
  • Mathematics  (1,248)
  • Education
  • Biology
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
  • 1
    facet.materialart.
    Unknown
    Integral conditions for uniqueness of solutions to degenerate parabolic equations (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 5 July 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Fabio Punzo〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉We investigate uniqueness of solutions to the initial value problem for degenerate parabolic equations, posed in bounded domains, where no boundary conditions are prescribed. In order to obtain uniqueness, we need that the solutions satisfy certain integral growth conditions, which are crucially related to the degeneracy of the operator near the boundary. In particular, such solutions can be unbounded near the boundary. Our hypothesis on the behavior of the operator at the boundary is optimal; in fact, we show that if it fails, then nonuniqueness of solutions prevails.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 2
    facet.materialart.
    Unknown
    Blow up and global existence for the periodic Phan-Thein-Tanner model (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 9 July 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Yuhui Chen, Wei Luo, Zheng-an Yao〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉In this paper, we mainly investigate the Cauchy problem for the periodic Phan-Thein-Tanner (PTT) model. This model is derived from network theory for the polymeric fluid. We prove that the strong solutions of PTT model will blow up in finite time if the trace of initial stress tensor 〈math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"〉〈mrow〉〈mi mathvariant="normal"〉tr〈/mi〉〈/mrow〉〈mspace width="0.2em"〉〈/mspace〉〈msub〉〈mrow〉〈mi〉τ〈/mi〉〈/mrow〉〈mrow〉〈mn〉0〈/mn〉〈/mrow〉〈/msub〉〈mo stretchy="false"〉(〈/mo〉〈mi〉x〈/mi〉〈mo stretchy="false"〉)〈/mo〉〈/math〉 is negative. It is thus very different from the other viscoelastic model. On the other hand, we obtain the global existence result with small initial data when 〈math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si108.svg"〉〈mrow〉〈mi mathvariant="normal"〉tr〈/mi〉〈/mrow〉〈mspace width="0.2em"〉〈/mspace〉〈msub〉〈mrow〉〈mi〉τ〈/mi〉〈/mrow〉〈mrow〉〈mn〉0〈/mn〉〈/mrow〉〈/msub〉〈mo stretchy="false"〉(〈/mo〉〈mi〉x〈/mi〉〈mo stretchy="false"〉)〈/mo〉〈mo〉≥〈/mo〉〈msub〉〈mrow〉〈mi〉c〈/mi〉〈/mrow〉〈mrow〉〈mn〉0〈/mn〉〈/mrow〉〈/msub〉〈mo linebreak="goodbreak" linebreakstyle="after"〉〉〈/mo〉〈mn〉0〈/mn〉〈/math〉 for some 〈math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg"〉〈msub〉〈mrow〉〈mi〉c〈/mi〉〈/mrow〉〈mrow〉〈mn〉0〈/mn〉〈/mrow〉〈/msub〉〈/math〉. Moreover, we study about the large time behavior.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 3
    facet.materialart.
    Unknown
    Well-posedness of the free boundary problem in incompressible elastodynamics (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 9 July 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Hui Li, Wei Wang, Zhifei Zhang〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics under a natural stability condition, which ensures that the evolution equation describing the free boundary is strictly hyperbolic. Our result gives a rigorous confirmation that the elasticity has a stabilizing effect on the Rayleigh-Taylor instability.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 4
    facet.materialart.
    Unknown
    Exact bound on the number of zeros of Abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4 (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 1 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Xianbo Sun, Pei Yu〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉This paper concerns the exact bound on the number of zeros of Abelian integrals associated with two hyper-elliptic Hamiltonian systems of degree 4. The upper and lower bounds for the two systems have been obtained in several previous works, however the sharp bounds are still unknown. In this paper, we provide a proof to show that the exact bound is 3 for both systems. The basic idea of our method is to bound the parameter space in 〈math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"〉〈msup〉〈mrow〉〈mi mathvariant="double-struck"〉R〈/mi〉〈/mrow〉〈mrow〉〈mn〉3〈/mn〉〈/mrow〉〈/msup〉〈/math〉 to obtain two parameter sets, which might yield maximal 4 zeros of Abelian integrals corresponding to the two sets. Further, we show that the existence of 4 zeros on the two sets is not possible, and thus the sharp bound is 3.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 5
    facet.materialart.
    Unknown
    Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 9 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Bixiang Wang〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉This paper is concerned with the asymptotic behavior of the solutions of the fractional reaction-diffusion equations with polynomial drift terms of arbitrary order driven by locally Lipschitz nonlinear diffusion terms defined on 〈math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"〉〈msup〉〈mrow〉〈mi mathvariant="double-struck"〉R〈/mi〉〈/mrow〉〈mrow〉〈mi〉n〈/mi〉〈/mrow〉〈/msup〉〈/math〉. We first prove the well-posedness of the equation based on pathwise uniform estimates as well as uniform estimates on average. We then define a mean random dynamical system via the solution operators and prove the existence and uniqueness of weak pullback mean random attractors. We finally establish the existence of invariant measures when the diffusion terms are globally Lipschitz continuous. The uniform estimates on the tails of solutions are employed to prove the tightness of a family of probability distributions of solutions in order to overcome the non-compactness of usual Sobolev embeddings on unbounded domains.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 6
    facet.materialart.
    Unknown
    Editorial Board (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: 15 October 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations, Volume 267, Issue 9〈/p〉 〈p〉Author(s): 〈/p〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 7
    facet.materialart.
    Unknown
    Stable and finite Morse index solutions of Toda system (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 9 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Kelei Wang〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉We prove a Liouville type theorem and a partial regularity result for stable and finite Morse index solutions of Toda system. The main tools are integral estimates, a monotonicity formula and blowing down analysis. For such systems, they may be split into two sub-systems during the blowing down process. Some 〈em〉ε〈/em〉-regularity theorems are developed to deal with this problem.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 8
    facet.materialart.
    Unknown
    Corrigendum to “Global well-posedness and long time decay of the 3D Boussinesq equations” [J. Differ. Equ. 263 (12) (2017) 8649–8665] (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 9 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Hui Liu, Hongjun Gao〈/p〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 9
    facet.materialart.
    Unknown
    Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 12 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Sandra Cerrai, Alessandra Lunardi〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gaussian measure.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 10
    facet.materialart.
    Unknown
    Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 8 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Differential Equations〈/p〉 〈p〉Author(s): Kaname Matsue〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉Geometric treatments of blow-up solutions for autonomous ordinary differential equations and their blow-up rates are concerned. Our approach focuses on the type of invariant sets at infinity via compactifications of phase spaces, and dynamics on their center-stable manifolds. In particular, we show that dynamics on center-stable manifolds of invariant sets at infinity with appropriate time-scale desingularizations as well as blowing-up of singularities characterize dynamics of blow-up solutions as well as their rigorous blow-up rates. Similarities for characterizing finite-time extinction and asymptotic behavior of compacton traveling waves to blow-up solutions are also shown.〈/p〉〈/div〉
    Print ISSN: 0022-0396
    Electronic ISSN: 1090-2732
    Topics: Mathematics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...