Spectral and regularity results for a Neumann problem with mixed local-nonlocal diffusion and drift

Craig Cowan and Mohammad El Smaily

Pre-print, (2025).

The prin­ci­pal eigen­val­ue of a mixed local and non­lo­cal oper­a­tor with drift in the Dirich­let case

Craig Cowan, Mohammad El Smaily and Pierre Aime Feule­fack

submitted for publication, (2025).

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Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion

Craig Cowan, Mohammad El Smaily and Pierre Aime Feule­fack

Journal of Differential Equations, 423, (2025), pp. 97-117.

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Speed selec­tion for reac­tion dif­fu­sion equa­tions in het­ero­ge­neous envi­ron­ments

Mohammad El Smaily and Chun­hua Ou

Pro­ceed­ings of the Amer­i­can Math­e­mat­i­cal Soci­ety, 151, Num­ber 12, (2023), pp 5163–5175.

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Asymp­tot­ic regimes of an inte­gro-dif­fer­ence equa­tion with dis­con­tin­u­ous ker­nel

Omar Abdul Hal­im and Mohammad El Smaily

Jour­nal of Dynam­ics and Dif­fer­en­tial Equa­tions (2023).

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The opti­mal ini­tial datum for a class of reac­tion-advec­tion-dif­fu­sion equa­tions

Omar Abdul Hal­im and Mohammad El Smaily

Non­lin­ear Analy­sis, Vol­ume 221, (2022), pp. 112–877.

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A Wol­bachia infec­tion mod­el with free bound­ary

Yun­feng Liu, Zhim­ing Guo, Mohammad El Smaily, Lin Wang

Jour­nal of Bio­log­i­cal Dynam­ics, 14:1, pp. 515–542 (2020).

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Bio­log­i­cal inva­sion in a preda­tor-prey mod­el with a free bound­ary

Yun­feng Liu, Zhim­ing Guo, Mohammad El Smaily, Lin Wang

Bound­ary Val­ue Prob­lems, (2019), Paper No. 33, 22 pp.

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A Leslie-Gow­er preda­tor-prey mod­el with a free bound­ary

Yun­feng Liu, Zhim­ing Guo, Mohammad El Smaily, Lin Wang

Dis­crete and Con­tin­u­ous Dynam­i­cal Systems–S, 12–7, pp. 2062–2083 (2019)

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Curved fronts in a shear flow: case of com­bus­tion non­lin­ear­i­ties

Mohammad El Smaily

Non­lin­ear­i­ty, 31, 12 (2018), pp. 5643–5663.

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A refined descrip­tion of evolv­ing inter­faces in cer­tain non­lin­ear wave equa­tions

Mohammad El Smaily and Robert L. Jer­rard

Non­lin­ear Dif­fer­en­tial Equa­tions and Appli­ca­tions, 25:15 (2018).

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Front speed enhance­ment by incom­press­ible flows in three or high­er dimen­sions

Mohammad El Smaily and Stéphane Kirsch

Archive for Ratio­nal Mechan­ics and Analy­sis, 213, 1 (2014), pp. 327–354.

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The non-monot­o­nic­i­ty of the KPP speed with respect to dif­fu­sion in the pres­ence of a shear flow

Mohammad El Smaily

Pro­ceed­ings of the Amer­i­can Math­e­mat­i­cal Soci­ety, 141, (2013), pp. 3553–3563.

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Two dimen­sion­al curved fronts in a peri­od­ic shear flow

Mohammad El Smaily, Fran­çois Hamel, Rui Huang

Non­lin­ear Analy­sis: The­o­ry, Meth­ods & Appli­ca­tions, 74, (2011), pp. 6469–6486.

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The homog­e­nized equa­tion of a het­eroge­nous Reac­tion-Dif­fu­sion mod­el involv­ing pul­sat­ing trav­el­ing fronts

Mohammad El Smaily

Com­mu­ni­ca­tions in Math­e­mat­i­cal Sci­ences, 9, 4 (2011), pp. 1113–1128.

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The speed of prop­a­ga­tion for KPP reac­tion-dif­fu­sion equa­tions with­in large drift,

Mohammad El Smaily and Stéphane Kirsch

Advances in Dif­fer­en­tial Equa­tions, 716, 3–4 (2011), pp. 361–400.

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Min-Max for­mu­lae for the speeds of prop­a­ga­tion in het­ero­ge­neous media

Mohammad El Smaily

Annali di Matem­at­i­ca Pura ed Appli­ca­ta, 189, 1 (2010), pp.47–66.

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Asymp­tot­ics of the KPP min­i­mal speed with­in large drift

Mohammad El Smaily

Comptes Ren­dus de l’A­cadémie des Sci­ences, 348, 15–16 (2010), pp. 857–861.

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Homog­e­niza­tion and influ­ence of frag­men­ta­tion in some het­ero­ge­neous envi­ron­men­tal mod­els

Mohammad El Smaily, François Hamel and Lionel Roques

Dis­crete & Con­tin­u­ous Dynam­i­cal Sys­tems — A, (2009), 25 (1), pp. 321–-342.

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Pul­sat­ing Trav­el­ing Fronts: Asymp­tot­ics and Homog­e­niza­tion Regimes

Mohammad El Smaily

Euro­pean Jour­nal of Applied Math­e­mat­ics, 19, (2008), pp. 393–-434.

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