On Moving Boundaries in Elliptic—Parabolic Systems

2003 ◽  
pp. 149-156
Author(s):  
Joachim Escher
Keyword(s):  
Parabolic Systems ◽  
Moving Boundaries

scholarly journals Finite element schemes for a class of nonlocal parabolic systems with moving boundaries

2018 ◽  
Vol 127 ◽  
pp. 226-248 ◽  
Author(s):  
Rui M.P. Almeida ◽  
José C.M. Duque ◽  
Jorge Ferreira ◽  
Rui J. Robalo
Keyword(s):  
Finite Element ◽  
Parabolic Systems ◽  
Moving Boundaries ◽  
Finite Element Schemes

A Detailed Approach for the Classical Integral Transform Technique in Ablation Phenomenon with Moving Boundaries

2020 ◽  
Author(s):  
Gilvan Do Nascimento Filho ◽  
Jakler Nichele ◽  
Leonardo Santos de Brito Alves
Keyword(s):  
Integral Transform ◽  
Moving Boundaries ◽  
Classical Integral ◽  
Integral Transform Technique

EXISTENCE AND STABILITY OF BIRD WAVES IN PARABOLIC SYSTEMS WITH SMALL DIFFUSION

2018 ◽  
Vol 6 (3-4) ◽  
pp. 84-88
Author(s):  
I. Klevchuk
Keyword(s):  
Parabolic Systems ◽  
Small Diffusion ◽  
Existence And Stability

On Lotka-Volterra competitive parabolic systems: Exclusion, coexistence and bistability

2021 ◽  
Vol 282 ◽  
pp. 596-625
Author(s):  
Peng Zhou ◽  
De Tang ◽  
Dongmei Xiao
Keyword(s):  
Parabolic Systems

scholarly journals Blow-up and global existence for semilinear parabolic systems with space-time forcing terms

2021 ◽  
Vol 147 ◽  
pp. 110982
Author(s):  
Ahmad Z. Fino ◽  
Mohamed Jleli ◽  
Bessem Samet
Keyword(s):  
Global Existence ◽  
Blow Up ◽  
Parabolic Systems ◽  
Space Time ◽  
Semilinear Parabolic Systems ◽  
Semilinear Parabolic

Stability in 𝐿𝑞-norm for inverse source parabolic problems

2020 ◽  
Vol 28 (6) ◽  
pp. 797-814
Author(s):  
Elena-Alexandra Melnig
Keyword(s):  
Parabolic Equations ◽  
Main Tool ◽  
Parabolic Systems ◽  
Carleman Estimates ◽  
Parabolic Problems ◽  
Lebesgue Spaces ◽  
First Order ◽  
Lipschitz Estimates ◽  
Systems Of Parabolic Equations

AbstractWe consider systems of parabolic equations coupled in zero and first order terms. We establish Lipschitz estimates in {L^{q}}-norms, {2\leq q\leq\infty}, for the source in terms of the solution in a subdomain. The main tool is a family of appropriate Carleman estimates with general weights, in Lebesgue spaces, for nonhomogeneous parabolic systems.

scholarly journals Lorentz spaces in action on pressureless systems arising from models of collective behavior

2021 ◽  
Author(s):  
Raphaël Danchin ◽  
Piotr Bogusław Mucha ◽  
Patrick Tolksdorf
Keyword(s):  
Initial Data ◽  
Collective Behavior ◽  
Existence And Uniqueness ◽  
Maximal Regularity ◽  
Parabolic Systems ◽  
Lorentz Spaces ◽  
Regularity Estimate ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Time Existence

AbstractWe are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in $$L_{q,r}(0,T;L_p(\Omega ))$$ L q , r ( 0 , T ; L p ( Ω ) ) spaces.

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