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Mathematical and computational modelling of skin biophysics: a review
The objective of this paper is to provide a review on some aspects of the mathematical and
computational modelling of skin biophysics, with special focus on constitutive theories based …
computational modelling of skin biophysics, with special focus on constitutive theories based …
[كتاب][B] Mathematical control theory for stochastic partial differential equations
Q Lü, X Zhang - 2021 - Springer
It is well-known that Control Theory was founded by N. Wiener in 1948 ([349]). After that, this
theory was greatly extended to various complicated setting and widely used in sciences and …
theory was greatly extended to various complicated setting and widely used in sciences and …
[كتاب][B] Fokker–Planck–Kolmogorov Equations
VI Bogachev, NV Krylov, M Röckner, SV Shaposhnikov - 2022 - books.google.com
This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …
elliptic and parabolic equations for measures, the main examples of which are Fokker …
Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
In this survey article, a variety of systems modeling tumor growth are discussed. In
accordance with the hallmarks of cancer, the described models incorporate the primary …
accordance with the hallmarks of cancer, the described models incorporate the primary …
Stochastic optimal control in infinite dimension
The main objective of this book is to give an overview of the theory of Hamilton–Jacobi–
Bellman (HJB) partial differential equations (PDEs) in infinite-dimensional Hilbert spaces …
Bellman (HJB) partial differential equations (PDEs) in infinite-dimensional Hilbert spaces …
Delayed blow-up by transport noise
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite
time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed …
time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed …
[كتاب][B] Stochastic partial differential equations
SV Lototsky, BL Rozovsky - 2017 - Springer
There are textbooks and there are research monographs. Some believe that a research
monograph is supposed to bore rather than batter. The following quotation is attributed to …
monograph is supposed to bore rather than batter. The following quotation is attributed to …
Well-posedness of stochastic partial differential equations with fully local monotone coefficients
Consider stochastic partial differential equations (SPDEs) with fully local monotone
coefficients in a Gelfand triple V⊆ H⊆ V∗: d X (t)= A (t, X (t)) dt+ B (t, X (t)) d W (t), t∈(0, T], X …
coefficients in a Gelfand triple V⊆ H⊆ V∗: d X (t)= A (t, X (t)) dt+ B (t, X (t)) d W (t), t∈(0, T], X …
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
This paper is devoted to investigating the well-posedness and asymptotic behavior of a
class of stochastic nonlocal partial differential equations driven by nonlinear noise. First, the …
class of stochastic nonlocal partial differential equations driven by nonlinear noise. First, the …
Multilevel diffusion: Infinite dimensional score-based diffusion models for image generation
Score-based diffusion models (SBDM) have recently emerged as state-of-the-art
approaches for image generation. Existing SBDMs are typically formulated in a finite …
approaches for image generation. Existing SBDMs are typically formulated in a finite …