Results 21 to 30 of about 310,792 (316)

Existence and stability of multiple spot solutions for the gray-scott model in R^2

, 2005
We study the Gray-Scott model in a bounded two dimensional domain and establish the existence and stability of {\bf symmetric} and {\bf asymmetric} multiple spotty patterns. The Green's function and its derivatives together with two nonlocal eigenvalue
Winter, M, Wei, J
core   +1 more source

Parameters and solutions of linear and nonlinear oscillators

International Journal of Mathematics and Mathematical Sciences, 1979
Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained.
Rina Ling
doaj   +1 more source

Global existence and regularity of solutions for active liquid crystals [PDF]

, 2017
We study the hydrodynamics of active liquid crystals in the Beris-Edwards hydrodynamic framework with the Landau-de Gennes Q-tensor order parameter to describe liquid crystalline ordering.
Chen, G-Q, Chen, Gui-Qiang, Chen, Gui Qiang, Zhang, Rongfang, Zhang, R, Wang, D, Apala Majumdar, Rongfang Zhang, Majumdar, A, Wang, Dehua, Gui-Qiang Chen, Dehua Wang, Majumdar, Apala   +12 more
core   +1 more source

Existence and attractivity of solutions of semilinear Volterra type integro-differential evolution equations [PDF]

Surveys in Mathematics and its Applications, 2018
In this paper, we prove a result on the existence and local attractivity of solutions of second order semilinear evolution equation. Our investigations will be situated on the Banach space of functions which are defined, continuous and bounded on the ...
Mouffak Benchohra, Noreddine Rezoug
doaj  

Variable exponent perturbation of a parabolic equation with $p(x)$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the study of the global existence and the decay of solutions of an evolution problem driven by an anisotropic operator and a nonlinear perturbation, both of them having a variable exponent. Because the nonlinear perturbation
Aldo Trajano Lourêdo, Manuel Milla Miranda, Marcondes Rodrigues Clark   +2 more
doaj   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source

Existence of solutions for nonlinear parabolic problems [PDF]

, 1999
summary:We consider nonlinear parabolic boundary value problems. First we assume that the right hand side term is discontinuous and nonmonotone and in order to have an existence theory we pass to a multivalued version by filling in the gaps at the ...
Papageorgiou, N, Halidias, N, Papageorgiou, Nikolaos S., Halidias, Nikolaos   +3 more
core  

Global Regular Axially Symmetric Solutions to the Navier–Stokes Equations: Part 1

Mathematics, 2023
The axially symmetric solutions to the Navier–Stokes equations are considered in a bounded cylinder Ω⊂R3 with the axis of symmetry. S1 is the boundary of the cylinder parallel to the axis of symmetry and S2 is perpendicular to it. We have two parts of S2.
Wojciech M. Zaja̧czkowski
doaj   +1 more source

Health‐Related Quality of Life and Symptom Severity Among Patients With PIK3CA‐Related Overgrowth Spectrum: A Mixed‐Methods Study to Understand Real‐World Experience With Alpelisib Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu, Kaitlin LaGasse, Cory D. Saucier, Kimberly Raymond, Miranda Lauher‐Charest, Lauren Crowder, Beilei Cai, Mary Lisha Paul, Denise Adams   +8 more
wiley   +1 more source

Clinical and Biological Features of Response in Resistant Neuroblastoma to 131I‐Metaiodobenzylguanidine Radiotherapy in the Anti‐GD2 Immunotherapy Era

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background 131I‐metaiodobenzylguanidine (131I‐MIBG) radiotherapy is a key treatment for relapsed and refractory (R/R) neuroblastoma (NB). Patients with R/R disease treated in the modern era are increasingly exposed to anti‐GD2 immunotherapy, which exerts selective pressure and may modify both tumor cell state and microenvironment.
Benjamin J. Lerman, Katherine K. Matthay, Fabienne Hollinger, Catriona Black, Ann A. Lazar, Miguel Pampaloni, Steven G. DuBois, Kieuhoa T. Vo   +7 more
wiley   +1 more source