FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949921586> ?p ?o ?g. }

• W2949921586 abstract "This paper deals with the nonlinear phase field system begin{equation*} begin{cases} partial_t (theta +ell varphi) - Deltatheta = f & mbox{in} Omegatimes(0, T), [1mm] partial_t varphi - Deltavarphi + xi + pi(varphi) = ell theta, xiinbeta(varphi) & mbox{in} Omegatimes(0, T) end{cases} end{equation*} in a general domain $Omegasubseteqmathbb{R}^N$. Here $N in mathbb{N}$, $T>0$, $ell>0$, $f$ is a source term, $beta$ is a maximal monotone graph and $pi$ is a Lipschitz continuous function. We note that in the above system the nonlinearity $beta+pi$ replaces the derivative of a potential of double well type. Thus it turns out that the system is a generalization of the Caginalp phase field model and it has been studied by many authors in the case that $Omega$ is a bounded domain. However, for unbounded domains the analysis of the system seems to be at an early stage. In this paper we study the existence of solutions by employing a time discretization scheme and passing to the limit as the time step $h$ goes to $0$. In the limit procedure we face with the difficulty that the embedding $H^1(Omega) hookrightarrow L^2(Omega)$ is not compact in the case of unbounded domains. Moreover, we can prove an interesting error estimate of order $h^{1/2}$ for the difference between continuous and discrete solutions." @default.
• W2949921586 created "2019-06-27" @default.
• W2949921586 creator A5048835991 @default.
• W2949921586 creator A5077564993 @default.
• W2949921586 date "2018-11-26" @default.
• W2949921586 modified "2023-09-27" @default.
• W2949921586 title "Time discretization of a nonlinear phase field system in general domains" @default.
• W2949921586 cites W1563676637 @default.
• W2949921586 cites W1596635901 @default.
• W2949921586 cites W1607530402 @default.
• W2949921586 cites W1989314144 @default.
• W2949921586 cites W2000057597 @default.
• W2949921586 cites W2015757640 @default.
• W2949921586 cites W2035542732 @default.
• W2949921586 cites W2036453159 @default.
• W2949921586 cites W2037913112 @default.
• W2949921586 cites W2041164079 @default.
• W2949921586 cites W2073078790 @default.
• W2949921586 cites W2084221711 @default.
• W2949921586 cites W2085228641 @default.
• W2949921586 cites W2090562228 @default.
• W2949921586 cites W2112609906 @default.
• W2949921586 cites W2118772813 @default.
• W2949921586 cites W2125827028 @default.
• W2949921586 cites W2165902635 @default.
• W2949921586 cites W2316803339 @default.
• W2949921586 cites W2320754196 @default.
• W2949921586 cites W2332204666 @default.
• W2949921586 cites W2577665632 @default.
• W2949921586 cites W2602637170 @default.
• W2949921586 cites W2611424935 @default.
• W2949921586 cites W2888997348 @default.
• W2949921586 cites W2962858156 @default.
• W2949921586 cites W2963301640 @default.
• W2949921586 cites W2963549834 @default.
• W2949921586 cites W2964092306 @default.
• W2949921586 cites W2964104012 @default.
• W2949921586 cites W3106031233 @default.
• W2949921586 cites W588153840 @default.
• W2949921586 cites W99033862 @default.
• W2949921586 cites W1648762547 @default.
• W2949921586 hasPublicationYear "2018" @default.
• W2949921586 type Work @default.
• W2949921586 sameAs 2949921586 @default.
• W2949921586 citedByCount "0" @default.
• W2949921586 crossrefType "posted-content" @default.
• W2949921586 hasAuthorship W2949921586A5048835991 @default.
• W2949921586 hasAuthorship W2949921586A5077564993 @default.
• W2949921586 hasConcept C10138342 @default.
• W2949921586 hasConcept C114614502 @default.
• W2949921586 hasConcept C121332964 @default.
• W2949921586 hasConcept C134306372 @default.
• W2949921586 hasConcept C158622935 @default.
• W2949921586 hasConcept C162324750 @default.
• W2949921586 hasConcept C182306322 @default.
• W2949921586 hasConcept C18903297 @default.
• W2949921586 hasConcept C22324862 @default.
• W2949921586 hasConcept C2524010 @default.
• W2949921586 hasConcept C2777299769 @default.
• W2949921586 hasConcept C2779557605 @default.
• W2949921586 hasConcept C2834757 @default.
• W2949921586 hasConcept C33923547 @default.
• W2949921586 hasConcept C34388435 @default.
• W2949921586 hasConcept C36503486 @default.
• W2949921586 hasConcept C37914503 @default.
• W2949921586 hasConcept C62520636 @default.
• W2949921586 hasConcept C86803240 @default.
• W2949921586 hasConceptScore W2949921586C10138342 @default.
• W2949921586 hasConceptScore W2949921586C114614502 @default.
• W2949921586 hasConceptScore W2949921586C121332964 @default.
• W2949921586 hasConceptScore W2949921586C134306372 @default.
• W2949921586 hasConceptScore W2949921586C158622935 @default.
• W2949921586 hasConceptScore W2949921586C162324750 @default.
• W2949921586 hasConceptScore W2949921586C182306322 @default.
• W2949921586 hasConceptScore W2949921586C18903297 @default.
• W2949921586 hasConceptScore W2949921586C22324862 @default.
• W2949921586 hasConceptScore W2949921586C2524010 @default.
• W2949921586 hasConceptScore W2949921586C2777299769 @default.
• W2949921586 hasConceptScore W2949921586C2779557605 @default.
• W2949921586 hasConceptScore W2949921586C2834757 @default.
• W2949921586 hasConceptScore W2949921586C33923547 @default.
• W2949921586 hasConceptScore W2949921586C34388435 @default.
• W2949921586 hasConceptScore W2949921586C36503486 @default.
• W2949921586 hasConceptScore W2949921586C37914503 @default.
• W2949921586 hasConceptScore W2949921586C62520636 @default.
• W2949921586 hasConceptScore W2949921586C86803240 @default.
• W2949921586 hasLocation W29499215861 @default.
• W2949921586 hasOpenAccess W2949921586 @default.
• W2949921586 hasPrimaryLocation W29499215861 @default.
• W2949921586 hasRelatedWork W2001564279 @default.
• W2949921586 hasRelatedWork W2042161972 @default.
• W2949921586 hasRelatedWork W2805398457 @default.
• W2949921586 hasRelatedWork W2884156474 @default.
• W2949921586 hasRelatedWork W2895579990 @default.
• W2949921586 hasRelatedWork W2925292381 @default.
• W2949921586 hasRelatedWork W2950812524 @default.
• W2949921586 hasRelatedWork W2964301594 @default.
• W2949921586 hasRelatedWork W3013785017 @default.
• W2949921586 hasRelatedWork W3034462416 @default.
• W2949921586 hasRelatedWork W3037968918 @default.

• next