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Parabolic equations and systems
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Nonlinear parabolic equations
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Computation of bifurcated branches in a free boundary problem arising in combustion theory
Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process
Finite element approximation of a Stefan problem with degenerate Joule heating
Numerical schemes for a three component Cahn-Hilliard model
Parallelizing the Kolmogorov Fokker Planck Equation
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations
Une perturbation hyperbolique des équations de Navier-Stokes
Uniform estimates for the parabolic Ginzburg-Landau equation
Weighted energy-dissipation functionals for gradient flows
Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II: Mixed-hybrid finite element solution
A linear scheme to approximate nonlinear cross-diffusion systems
Continuous dependence estimates for the ergodic problem of Bellman-Isaacs operators via the parabolic Cauchy problem
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
A generalized model for optimal transport of images including dissipation and density modulation
Asymptotic Behavior of Solutions to Diffusion Problems with Robin and Free Boundary Conditions
Quantitative concentration inequalities on sample path space for mean field interaction
Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants
Involutive formulation and simulation for electroneutral microfluids
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
Control Approach to an Ill-Posed Variational Inequality
Magnetization switching on small ferromagnetic ellipsoidal samples
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation
Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay
A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy
Well-posedness of a thermo-mechanical model for shape memory alloys under tension
Waves of Autocrine Signaling in Patterned Epithelia
Existence and Stability of Travelling Front Solutions for General Auto-catalytic Chemical Reaction Systems
Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations
Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems
Study of a three component Cahn-Hilliard flow model
Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
On Chemotaxis Models with Cell Population Interactions
The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations
On the control of ill-posed distributed parameter systems
A method for detecting pollution in dissipative systems with incomplete data.
Moving mesh for the axisymmetric harmonic map flow
Quantitative Rapid and Finite Time Stabilization of the Heat Equation
The role of Allee effect in cannibalistic species: An action plan to sustain the declining cod population
Nonlinear asymptotic mean value characterizations of holomorphic functions
Regularity results and optimal velocity control of the convective nonlocal Cahn-Hilliard equation in 3D
A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval
A tumor growth model of Hele-Shaw type as a gradient flow
Optimal control of stochastic phase-field models related to tumor growth
Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation
A minimizing Movement approach to a class of scalar reaction-diffusion equations
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
A new minimizing-movements scheme for curves of maximal slope
Local null controllability of a quasi-linear system and related numerical experiments
Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
Mean curvature motion of point cloud varifolds
A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility
A C 0 Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type
Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates
Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method
Analytical results on a model for damaging in domains and interfaces
Stabilization of walls for nano-wires of finite length
Root growth: homogenization in domains with time dependent partial perforations
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting
A finite element scheme for the evolution of orientational order in fluid membranes
Numerical analysis of nonlinear elliptic-parabolic equations
Remarks on exact controllability for the Navier-Stokes equations
Well-posedness of the supercritical Lane-Emden heat flow in Morrey spaces
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
On fully practical finite element approximations of degenerate Cahn-Hilliard systems
Time-delay regularization of anisotropic diffusion and image processing
On the minimizing movement with the 1-Wasserstein distance
Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach
The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems
Insensitizing control for linear and semi-linear heat equations with partially unknown domain
A gradient system with a wiggly energy and relaxed EDP-convergence
Stabilization of the non-homogeneous Navier-Stokes equations in a 2d channel
High-order filtered schemes for time-dependent second order HJB equations
Stability estimates for systems with small cross-diffusion ,
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
Existence and regularity of mild solutions to fractional stochastic evolution equations
Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities
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Parabolic equations and systems
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