Results 51 to 60 of about 743,174 (312)
New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics
International Journal of Applied Mechanics and Engineering, 2021 This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets +4 more
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The Cauchy problem for a nonlinear first order partial differential equation
Journal of Differential Equations, 1969 Wendell H. Fleming
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A Sturmian Theorem for First Order Partial Differential Equations [PDF]
Transactions of the American Mathematical Society, 1972 A pair of first order partial differential equations is considered. The system is transformed into a single nonlinear scalar equation of the Riccati type from which some Wirtinger type integral inequalities for functions of several variables are derived. A comparison theorem for two such pairs of first order equations is then proved using the Wirtinger
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Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
Stability for some inverse problems for transport equations
, 2015 In this article, we consider inverse problems of determining a source term and a coefficient of a first-order partial differential equation and prove conditional stability estimates with minimum boundary observation data and relaxed condition on the ...
Gölgeleyen, Fikret, Yamamoto, Masahiro
core +1 more source
Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
PDE Surface-Represented Facial Blendshapes
Mathematics, 2021 Partial differential equation (PDE)-based geometric modelling and computer animation has been extensively investigated in the last three decades. However, the PDE surface-represented facial blendshapes have not been investigated.
Haibin Fu +5 more
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A note on duality of first order partial differential equations [PDF]
Hokkaido Mathematical Journal, 1995 The following generalized Legendre contact transformation of \(J^1 (\mathbb{R}^n, \mathbb{R})\) with the local coordinates \((x, u, p)= (x_1, \dots, x_n, y, p_1, \dots,p_n)\) and \(I\subset \{1, \dots, n\}\), \[ X_{I^c}= x_{I^c}, \quad X_I = p_I, \quad Y= p_I x_I- y, \quad P_{I^c}= p_{I^c}, \quad P_I= x_I \] is used to formulate and prove a duality ...
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Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation
FEBS Letters, EarlyView.The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen +2 more
wiley +1 more source
PDEs in Moving Time Dependent Domains
, 2013 In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin +5 more
core +2 more sources